A double groove structure design method for enhancing the separation performance of spiral chute
By designing a double groove structure on the spiral chute groove surface, the system optimizes key parameters, solving the problem of poor sorting effect of traditional spiral chutes, and achieving efficient mineral sorting performance improvement.
Patent Information
- Application Number
- CN202411760999.X
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2024-12-03
- Publication Date
- 2025-08-22
- Estimated Expiration
- 2044-12-03
AI Technical Summary
During the mineral sorting process of traditional spiral chutes, due to the smooth trough surface and fast water flow speed, the slurry concentration becomes larger, the flowability is poor, and the sorting effect is poor. The existing optimization algorithm relies on engineering experience and lacks clear design principles, which limits the accuracy and performance improvement of structural parameter optimization.
A double groove structure is designed on the spiral groove groove surface. By systematically determining the key parameters of the groove such as spiral angle, groove width, number of grooves and inner and outer diameters of the grooves, numerical calculation and test methods are used to optimize the groove design, improve the looseness of mineral particles, and promote the movement of coarse ore particles to the inside of the groove body.
The sorting performance of spiral chutes is significantly improved, the looseness of mineral particles is enhanced, the rapid and efficient design of the groove structure is achieved, and the sorting efficiency and concentrate yield are improved.
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Figure CN119249651B_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to the technical field of spiral chute structure design, in particular to a double-groove structure design method for enhancing the sorting performance of a spiral chute. Background Art
[0002] The spiral chute is a separation device that uses gravity and centrifugal force to separate minerals of varying densities, leveraging the characteristics of liquid flow. It boasts a simple structure, low energy consumption, zero pollution, and high separation efficiency, making it widely used in mineral separation. Traditional spiral chutes have smooth flue surfaces. During the mineral separation process, some heavy mineral particles are thrown to the outside of the chute by centrifugal force and enter the tailings area. Furthermore, when the slurry reaches a certain pitch, the rapid water flow increases the slurry concentration on the flue surface, reducing fluidity and resulting in poor separation performance.
[0003] Therefore, in recent years, many researchers have introduced special flume structures, such as wedge-shaped grooves and spiral grooves, to improve the sorting performance of spiral chutes. However, the parameter setting of these structures mostly relies on the researchers' engineering experience, and often requires the introduction of optimization algorithms to optimize a large number of structural parameters. The basis or principles of structural design are not clear, which greatly limits the accuracy of spiral chute structural parameter optimization and the potential for spiral chute performance improvement.
[0004] In the prior art, publication number CN109731672A discloses a mineral processing spiral chute, which is supported and erected in a spiral shape. The radial cross-sectional curve of the trough body gradually rises from the inside to the outside of the trough body. The radial cross-sectional curve of the trough body is a composite curve, which includes a first curved segment and a second curved segment arranged in sequence from the inside to the outside of the trough body. The tail end of the first curved segment and the head end of the second curved segment are connected to a first connection point. The angle between the tangent of the curve at the head end of the second curved segment and the horizontal plane is smaller than the angle between the tangent of the curve at the tail end of the first curved segment and the horizontal plane. The above-mentioned mineral processing spiral chute can not only expand and thin the "high wall of sand dunes" outward, improving the looseness of mineral particles, but also increase the hourly processing capacity, making mineral processing efficiency and effects better. However, the existing technology still has shortcomings. The existing technology is designed by dividing the trough body into two parts, one part is used as the first curve, and the other part is used as the second curve. The two curves are processed separately. Although it can also improve the looseness of mineral particles and achieve a certain full-ore effect, the two end curves process the minerals separately. When the slurry moves to a certain pitch, due to the fast water flow rate, the slurry concentration on the trough surface becomes higher and the fluidity becomes worse, which will lead to poor sorting effect of the spiral chute.
[0005] The above information disclosed in this Background section is only for enhancement of understanding of the background of the present disclosure and therefore it may contain information that does not form the prior art that is already known to a person of ordinary skill in the art. Summary of the Invention
[0006] The object of the present invention is to provide a double groove structure design method for enhancing the sorting performance of a spiral chute, so as to solve the problems raised in the above background technology.
[0007] To achieve the above object, the present invention provides the following technical solutions:
[0008] A double-groove structure design method for enhancing the sorting performance of a spiral chute, wherein the trough body for sorting minerals in the spiral chute is composed of an inner trough wall, an outer trough wall, and a trough surface, and a first groove and a second groove are provided on the trough surface, wherein the first groove is close to the inner trough wall side of the trough body, and the second groove is close to the outer trough wall side of the trough body, and the first groove and the second groove correspond one to one. The specific steps include:
[0009] Step 1: Select the inner diameter and outer diameter of groove 1 and groove 2;
[0010] Step 2: Determine that both groove 1 and groove 2 are in the form of equiangular helical lines, and select the equiangular helical angles of groove 1 and groove 2;
[0011] Step 3: Select the maximum depth and minimum depth of groove 1 and groove 2;
[0012] Step 4: Select the adjacent angle between groove 1 and groove 2, and select the groove width and the total number of grooves in the spiral chute based on the angle between the adjacent grooves;
[0013] Step 5: Select the vertical distance between the outlet of groove 2 and the inlet of groove 1;
[0014] Step 6: Perform a performance check on the double groove structure designed to enhance the separation performance of the spiral chute. If the performance meets the standard, the design is terminated. If the performance does not meet the standard, repeat steps 1 to 6.
[0015] Furthermore, the radial distance between the zones of heavy ore particles and light ore particles at the spiral chute outlet, the outer diameter of the spiral chute, and the inner diameter of the spiral chute are obtained when no double grooves are provided;
[0016] The range of groove inner diameter is:
[0017] ;
[0018] in, is the inner diameter of the groove, is the outer diameter of the spiral chute, is the inner diameter of the spiral chute, It is the radial distance between the zones of heavy ore particles and light ore particles at the spiral chute outlet when double grooves are not provided;
[0019] The range of groove outer diameter is:
[0020] ;
[0021] in, is the outer diameter of the groove,
[0022] The range of the inner diameter of groove 2 is:
[0023] ;
[0024] in, is the second inner diameter of the groove;
[0025] The range of the second outer diameter of the groove is:
[0026] ;
[0027] in, is the second outer diameter of the groove.
[0028] Furthermore, the helix angle constraint condition of the equiangular helix of the groove 1 and the groove 2 is:
[0029] ;
[0030] ;
[0031] ;
[0032] in, is the helix angle of the equiangular helix of groove 1, is the helix angle of the equiangular helix of groove 1; is the helix angle constant, and ;
[0033] The expression of groove 1 in polar coordinates is:
[0034] ;
[0035] ;
[0036] in, The groove is at the polar angle The lower diameter, is the coefficient that determines the growth rate of the equiangular helix of groove 1, is the helix angle of the equiangular helix of groove 1;
[0037] The expression of groove 2 in polar coordinates is:
[0038] ;
[0039] ;
[0040] in, The groove is at the polar angle The lower diameter, is the coefficient that determines the growth rate of the equiangular helix of groove 2, is the helix angle of the equiangular helix of groove 2.
[0041] Furthermore, when the double grooves are not provided, the radial distance between the zones of heavy ore particles and light ore particles at the spiral chute outlet can be obtained by numerical calculation or experimental testing.
[0042] The specific logic behind the numerical calculation method for obtaining the radial distance between the zoning boundaries of heavy and light ore particles at the spiral chute outlet when double grooves are not installed is to obtain the geometric parameters of the spiral chute outlet when double grooves are not installed, use the Eulerian-Lagrangian method to define the density of the mineral to be processed, the particle diameter range, the aspect ratio of the particles, the surface roughness range of the particles, and the friction coefficient between the particles, query the historical operating conditions to set the inlet pressure, outlet pressure, inlet flow rate, and outlet flow rate; perform numerical calculations on the trajectory of mineral particles, and directly obtain the radial distance between the zoning boundaries of heavy and light ore particles at the spiral chute outlet when double grooves are not installed;
[0043] The specific logic for obtaining the radial distance of the separation zone boundary of heavy ore particles and light ore particles at the spiral chute outlet when no double grooves are set through experimental testing is: use a measuring tool to measure the radial distance of the separation zone boundary in the stable stage, and the stable stage is to measure the system flow rate, particle concentration and outlet pressure, and preset the flow rate stability range, particle concentration stability range and outlet pressure stability range. When the system flow rate, particle concentration and outlet pressure are maintained in the flow rate stability range, particle concentration stability range and outlet pressure stability range within 1 hour, it is defined that the system has reached the stable stage.
[0044] Furthermore, the maximum depth range of groove 1 and groove 2 in step 3 is:
[0045] ;
[0046] ;
[0047] in, is the maximum depth of groove 1, is the maximum depth of groove 2;
[0048] The minimum depth of groove 1 and groove 2 is 0 , that is, flush with the groove surface of the spiral chute;
[0049] Groove 1 and groove 2 are both grooves of unequal depth. From the outer wall to the inner wall of the groove body, the depth of groove 1 and groove 2 gradually decreases until the outlets of groove 1 and groove 2 are flush with the groove surface.
[0050] Furthermore, the adjacent groove angle coefficient is obtained, the number of dividing circles of the spiral chute is set, and the adjacent angle between the groove 1 and the groove 2 is selected according to the adjacent groove angle coefficient and the number of dividing circles of the spiral chute;
[0051] Obtain the adjacent groove angle coefficient, set the spiral chute dividing circle, and select the adjacent angle between groove 1 and groove 2 according to the adjacent groove angle coefficient and the number of spiral chute dividing circles;
[0052] The specific logic for setting the number of dividing circles of the spiral chute is: the entrance of the spiral chute is the first circle, and the exit of the spiral chute is the Circle, obtain the concentrate flow rate of each circle of the spiral chute, set the circle with the same concentrate flow rate as the outlet circle as the dividing circle. If there is only one dividing circle, then this circle is set as the spiral chute dividing circle. If there are multiple dividing circles, then the first dividing circle is set as the spiral chute dividing circle.
[0053] The specific formula for setting the dividing circle of the spiral chute and selecting the angle between adjacent grooves is:
[0054] ;
[0055] in, For the The adjacent angle between groove 1 and groove 2 in the circle; is the adjacent groove angle coefficient, is the total number of spiral chute turns, is the index of the spiral chute boundary circle, is the index of the circle, and is a real number.
[0056] Furthermore, the specific formula for selecting the total number of grooves in the spiral chute is:
[0057] ;
[0058] in, is the total number of grooves in the spiral chute, is the adjacent angle between groove 1 and groove 2 before the spiral flow channel Nc circle, is the adjacent angle between groove 1 and groove 2 after Nc turns of the spiral flow channel;
[0059] The specific formula for selecting the groove width is:
[0060] ;
[0061] ;
[0062] in, For the The groove width of the groove in the circle, For the The width of the groove 2 in the circle, is the outer diameter of the groove, is the second outer diameter of the groove, is the center angle constant, and .
[0063] Furthermore, the vertical distance between the outlet of groove 2 and the inlet of groove 1 in each circle has a range of values:
[0064] ;
[0065] in, For the Circle the vertical distance between the outlet of groove 2 and the inlet of groove 1.
[0066] Furthermore, the specific logic for using model tests to perform performance verification on the double-groove structure designed for enhancing the sorting performance of the spiral chute is as follows: based on the design structural parameters of the above-mentioned grooves, groove one and groove two are processed on the existing spiral chute model. The model test includes sampling, drying, weighing and calculating the yield and recovery rate of the target mineral in the concentrate zone. If the yield and recovery rate of the double-groove structure designed for enhancing the sorting performance of the spiral chute are higher than those of the double-groove structure of the existing spiral chute sorting performance, the design is terminated; otherwise, steps 1 to 6 are repeated.
[0067] The formula for calculating the yield of target minerals in the ore belt is:
[0068] ;
[0069] in, is the yield of target minerals in the ore belt, For importing all mineral quantities, is the mass of the target mineral in the concentrate zone
[0070] The recovery rate of target minerals in the ore belt is calculated as follows:
[0071] ;
[0072] in, is the recovery rate of target minerals in the ore belt, is the grade of the target mineral, For the original ore grade.
[0073] Furthermore, a numerical calculation method was used to verify the performance of the designed double-groove structure for enhancing the sorting performance of the spiral chute. The specific logic behind this method was to construct a numerical simulation model based on the known structural parameters of the spiral chute and the design parameters of grooves one and two. The sorting efficiency of the spiral chute was calculated, and the Reynolds number of the final turn of the spiral chute was extracted. If both the sorting efficiency and the Reynolds number of the final turn of the designed double-groove structure for enhancing the sorting performance of the spiral chute were higher than those of the existing double-groove structure for spiral chute sorting performance, the design was terminated. Otherwise, steps 1 through 6 were repeated.
[0074] The calculation formula for the separation efficiency of the spiral chute is:
[0075] ;
[0076] in, is the sorting efficiency of the spiral chute, is the mass flow rate of target solid particles A in the raw ore slurry at the spiral chute inlet, is the mass flow rate of non-target solid particles B in the raw ore slurry at the spiral chute inlet, is the mass flow rate of target solid particles A in the concentrate zone at the spiral chute outlet, The concentrate belt at the spiral chute outlet The mass flow rate of particle B.
[0077] The formula for extracting the Reynolds number is:
[0078] ;
[0079] in, is the Reynolds number of the last circle of the spiral chute, is the flow rate, is the film thickness, is the dynamic viscosity, is the slurry density.
[0080] Compared with the prior art, the present invention has the following beneficial effects:
[0081] This invention introduces a dual-groove structure into the surface of a spiral chute and systematically defines its key structural parameters, including the helix angle, groove width, number of grooves, and inner and outer diameters. This dual-groove structure significantly increases the looseness of mineral particles within the spiral chute, encouraging coarse ore particles to move inward. The design method enables rapid and efficient design of the groove structure, providing strong technical support for improving spiral chute performance. BRIEF DESCRIPTION OF THE DRAWINGS
[0082] Figure 1 Schematic diagram of the overall method of the present invention.
[0083] Figure 2Overall schematic diagram of spiral chute and double grooves.
[0084] Figure 3 Top view of the double groove structure of the first circle of the spiral chute.
[0085] Figure 4 Schematic diagram of numerical simulation results of radial distance of zoning boundaries.
[0086] In the figure: 1, chute body, 2, groove 1, 3, groove 2, 11, inner chute wall, 12, outer chute wall, 13, chute surface, H, chute pitch, D, spiral chute outer diameter, , inner diameter of spiral chute, 2. The radial distance between the zones of heavy ore particles and light ore particles at the spiral chute outlet when double grooves are not installed. , groove inner diameter, , groove inner diameter, , groove outer diameter, , groove second outer diameter, , the vertical distance between the outlet of groove 2 and the inlet of groove 1, , the adjacent angle between groove 1 and groove 2. DETAILED DESCRIPTION
[0087] In order to make the objectives, technical solutions and advantages of the present invention more clearly understood, the present invention is further described in detail below with reference to specific embodiments.
[0088] It should be noted that, unless otherwise defined, the technical or scientific terms used in the present invention should have the usual meanings understood by people with ordinary skills in the field to which the present invention belongs. The "first", "second" and similar words used in the present invention do not indicate any order, quantity or importance, but are only used to distinguish different components. "Include" or "comprise" and similar words mean that the elements or objects appearing before the word include the elements or objects listed after the word and their equivalents, without excluding other elements or objects. "Connect" or "connected" and similar words are not limited to physical or mechanical connections, but may include electrical connections, whether direct or indirect. "Up", "down", "left", "right" and the like are only used to indicate relative position relationships. When the absolute position of the object being described changes, the relative position relationship may also change accordingly.
[0089] Example:
[0090] See also Figure 1-4 , the present invention provides a technical solution,
[0091] A double-groove structure design method for enhancing the sorting performance of a spiral chute, wherein a trough body 1 for sorting minerals in the spiral chute is composed of an inner trough wall 11, an outer trough wall 12, and a trough surface 13, and a groove 1 and a groove 2 are provided on the trough surface 13, wherein the groove 1 and the groove 2 are close to the inner trough wall side of the trough body 1, and the groove 2 and the groove 3 are close to the outer trough wall side of the trough body 1, and the groove 1 and the groove 2 correspond one to one. The specific steps include:
[0092] Step 1: Select the inner diameter and outer diameter of groove 1 and groove 2;
[0093] Obtain the radial distance between the zones of heavy ore particles and light ore particles at the spiral chute outlet when no double grooves are provided, the outer diameter of the spiral chute, and the inner diameter of the spiral chute;
[0094] The range of groove inner diameter is:
[0095] ;
[0096] in, is the inner diameter of the groove, is the outer diameter of the spiral chute, is the inner diameter of the spiral chute, It is the radial distance between the zones of heavy ore particles and light ore particles at the spiral chute outlet when double grooves are not provided;
[0097] The range of groove outer diameter is:
[0098] ;
[0099] in, is the outer diameter of the groove,
[0100] The range of the inner diameter of groove 2 is:
[0101] ;
[0102] in, is the second inner diameter of the groove;
[0103] The range of the second outer diameter of the groove is:
[0104] ;
[0105] in, is the second outer diameter of the groove.
[0106] When the double grooves are not provided, the radial distance between the zones of heavy ore particles and light ore particles at the spiral chute outlet can be obtained by numerical calculation or experimental testing.
[0107] The specific logic behind the numerical calculation method for obtaining the radial distance between the zoning boundaries of heavy and light ore particles at the spiral chute outlet when double grooves are not installed is as follows: the geometric parameters of the spiral chute outlet when double grooves are not installed are obtained; the density of the mineral to be processed, the particle diameter range, the aspect ratio of the particles, the surface roughness range of the particles, and the friction coefficient between the particles are defined using the Eulerian-Lagrangian method; the inlet pressure, outlet pressure, inlet flow rate, and outlet flow rate are set by querying historical operating conditions; the trajectory of the mineral particles is numerically calculated to directly obtain the radial distance between the zoning boundaries of heavy and light ore particles at the spiral chute outlet when double grooves are not installed;
[0108] The specific logic for obtaining the radial distance of the separation zone boundary of heavy ore particles and light ore particles at the spiral chute outlet when no double grooves are set through experimental testing is: use a measuring tool to measure the radial distance of the separation zone boundary in the stable stage, and the stable stage is to measure the system flow rate, particle concentration and outlet pressure, and preset the flow rate stability range, particle concentration stability range and outlet pressure stability range. When the system flow rate, particle concentration and outlet pressure are maintained in the flow rate stability range, particle concentration stability range and outlet pressure stability range within 1 hour, it is defined that the system has reached the stable stage.
[0109] Experimental test method acquisition : Use measuring tools to measure the radial distance of the boundary of the mineralization zone during the stable stage.
[0110] Preferably, the inner diameter of the groove is 80 , the outer diameter of the groove is 150 ; The inner diameter of groove 2 is 150 , the inner diameter of the groove is 188 .
[0111] Step 2: Determine that both groove 1 and groove 2 are in the form of equiangular helical lines, and select the equiangular helical angles of groove 1 and groove 2;
[0112] The helix angle constraint conditions of the equiangular helix of the groove 1 and the groove 2 are:
[0113] ;
[0114] ;
[0115] ;
[0116] in, is the helix angle of the equiangular helix of groove 1, is the helix angle of the equiangular helix of groove 1; is the helix angle constant, and ;
[0117] The expression of groove 1 in polar coordinates is:
[0118] ;
[0119] ;
[0120] in, The groove is at the polar angle The lower diameter, is the coefficient that determines the growth rate of the equiangular helix of groove 1, is the helix angle of the equiangular helix of groove 1;
[0121] The expression of groove 2 in polar coordinates is:
[0122] ;
[0123] ;
[0124] in, The groove is at the polar angle The lower diameter, is the coefficient that determines the growth rate of the equiangular helix of groove 2, The helical angle of the equiangular helix of groove 2 is preferably 0.93. and 1.1 ,in ,
[0125] The helical expression of groove 1 is:
[0126] ;
[0127] is the diameter of the groove-groove spiral line,
[0128] The helical expression of groove 2 is:
[0129] ;
[0130] is the diameter of the spiral line of the groove. .
[0131] Step 3: Select the maximum depth and minimum depth of groove 1 and groove 2;
[0132] The maximum depth range of groove 1 and groove 2 is:
[0133] ;
[0134] ;
[0135] in, is the maximum depth of groove 1, The maximum depth of groove 2
[0136] The minimum depth of groove 1 and groove 2 is 0 , that is, flush with the groove surface of the spiral chute.
[0137] Groove 1 and groove 2 are both grooves of unequal depth. From the outer wall to the inner wall of the groove body, the depth of groove 1 and groove 2 gradually decreases until the outlets of groove 1 and groove 2 are flush with the groove surface.
[0138] Preferably, the maximum depths of grooves 1 and 2 are both , the minimum depth of groove 1 and groove 2 is 0 ,
[0139] Step 4: Select the adjacent angle between groove 1 and groove 2, and select the groove width and the total number of grooves in the spiral chute based on the angle between the adjacent grooves;
[0140] The total number of grooves in the spiral chute is the total number of grooves in groove one or groove two, and the total number of grooves in groove one is equal to the total number of grooves in groove two.
[0141] Obtain the adjacent groove angle coefficient, set the number of spiral chute dividing circles, and select the adjacent angle between groove 1 and groove 2 according to the adjacent groove angle coefficient and the number of spiral chute dividing circles;
[0142] Obtain the adjacent groove angle coefficient, set the spiral chute dividing circle, and select the adjacent angle between groove 1 and groove 2 according to the adjacent groove angle coefficient and the number of spiral chute dividing circles;
[0143] The specific logic for setting the number of dividing circles of the spiral chute is: the entrance of the spiral chute is the first circle, and the exit of the spiral chute is the Circle, obtain the concentrate flow rate of each circle of the spiral chute, set the circle with the same concentrate flow rate as the outlet circle as the dividing circle. If there is only one dividing circle, then this circle is set as the spiral chute dividing circle. If there are multiple dividing circles, then the first dividing circle is set as the spiral chute dividing circle.
[0144] The specific formula for setting the dividing circle of the spiral chute and selecting the angle between adjacent grooves is:
[0145] ;
[0146] in, For the The adjacent angle between groove 1 and groove 2 in the circle; is the adjacent groove angle coefficient, is the total number of spiral chute turns, is the index of the spiral chute boundary circle, is the index of the circle, and is a real number.
[0147] The specific formula for selecting the total number of grooves in the spiral chute is:
[0148] ;
[0149] in, is the total number of grooves in the spiral chute, is the adjacent angle between groove 1 and groove 2 before the spiral flow channel Nc circle, is the adjacent angle between groove 1 and groove 2 after Nc turns of the spiral flow channel;
[0150] The specific formula for selecting the groove width is:
[0151] ;
[0152] ;
[0153] in, For the The groove width of the groove in the circle, For the The groove width of the second groove in the circle, is the outer diameter of the groove, is the second outer diameter of the groove, is the center angle constant, and .
[0154] Preferably, a numerical calculation method is used to determine the number of spiral chute dividing circles 2.5, spiral chute outlet number of turns 3.5
[0155] ;
[0156] For the The adjacent angle between groove 1 and groove 2; is the adjacent groove angle coefficient, is the number of dividing circles of the spiral chute, is the circle number index;
[0157] ;
[0158] is the total number of grooves in the spiral chute;
[0159] ;
[0160] For the Groove width of groove one in the circle;
[0161] ;
[0162] For the The groove width of groove 2 in the circle.
[0163] Step 5: Select the vertical distance between the outlet of groove 2 and the inlet of groove 1;
[0164] The vertical distance between the second groove outlet and the first groove inlet of each circle is within the range of:
[0165] ;
[0166] in, For the Circle the vertical distance between the outlet of groove 2 and the inlet of groove 1. is the outer diameter of the groove.
[0167] The range of the vertical distance between the groove 2 outlet and the groove 1 inlet before the spiral flow channel Nc turns is: .
[0168] The range of the vertical distance between the groove 2 outlet and the groove 1 inlet after Nc turns of the spiral flow channel is: .
[0169] Preferably, in the embodiment of the present invention, L is uniformly set to 10 .
[0170] Step 6: Perform a performance check on the double groove structure designed to enhance the separation performance of the spiral chute. If the performance meets the standard, the design is terminated. If the performance does not meet the standard, repeat steps 1 to 6.
[0171] The specific logic behind using model testing to perform performance verification on the double-groove structure designed to enhance the separation performance of a spiral chute is as follows: Based on the design structural parameters of the above-mentioned grooves, groove one and groove two are machined on the existing spiral chute model. The model test includes sampling, drying, and weighing each sample, and calculating the yield and recovery rate of the target mineral in the concentrate zone. If the yield and recovery rate of the double-groove structure designed to enhance the separation performance of the spiral chute are higher than those of the double-groove structure of the existing spiral chute separation performance, the design is terminated; otherwise, steps 1 to 6 are repeated.
[0172] The formula for calculating the yield of target minerals in the ore belt is:
[0173] ;
[0174] in, is the yield of target minerals in the ore belt, For importing all mineral quantities, is the mass of the target mineral in the concentrate zone
[0175] The recovery rate of target minerals in the ore belt is calculated as follows:
[0176] ;
[0177] in, is the recovery rate of target minerals in the ore belt, is the grade of the target mineral, For the original ore grade.
[0178] Numerical calculations can also be used to verify the performance of the dual-groove structure designed to enhance the separation performance of a spiral chute. The specific logic behind this method is as follows: a numerical simulation model is constructed based on the known structural parameters of the spiral chute and the design parameters of grooves one and two. The separation efficiency of the spiral chute is calculated, and the Reynolds number of the final turn of the spiral chute is extracted. If both the separation efficiency and the Reynolds number of the final turn of the spiral chute designed to enhance separation performance of the dual-groove structure are higher than those of the existing dual-groove structure with the same separation performance, the design is terminated. Otherwise, steps 1 through 6 are repeated.
[0179] The calculation formula for the separation efficiency of the spiral chute is:
[0180] ;
[0181] in, is the sorting efficiency of the spiral chute, is the mass flow rate of target solid particles A in the raw ore slurry at the spiral chute inlet, is the mass flow rate of non-target solid particles B in the raw ore slurry at the spiral chute inlet, is the mass flow rate of target solid particles A in the concentrate zone at the spiral chute outlet, The concentrate belt at the spiral chute outlet The mass flow rate of particle B.
[0182] The formula for extracting the Reynolds number is:
[0183] ;
[0184] in, is the Reynolds number of the last circle of the spiral chute, is the flow rate, is the film thickness, is the dynamic viscosity, is the slurry density.
[0185] The above formulas are all dimensionless and numerical calculations. The formulas are obtained by collecting a large amount of data and performing software simulation to obtain the most recent real situation. The preset parameters in the formulas are set by technicians in this field according to actual conditions.
[0186] The above embodiments can be implemented in whole or in part by software, hardware, firmware, or any other combination thereof. When implemented using software, the above embodiments can be implemented in whole or in part in the form of a computer program product. Those skilled in the art will appreciate that the units and algorithm steps of each example described in conjunction with the embodiments disclosed herein can be implemented by electronic hardware, or a combination of computer software and electronic hardware. Whether these functions are performed by hardware or software depends on the specific application and design constraints of the technical solution.
[0187] The units described as separate components may or may not be physically separate, and the components shown as units may or may not be physical units, and may be located in one place or distributed across multiple network units. Some or all of these units may be selected to achieve the purpose of this embodiment as needed.
[0188] The above is only a specific implementation method of the present application, but the scope of protection of the present application is not limited thereto. Any technician familiar with this technical field can easily think of changes or replacements within the technical scope disclosed in this application, which should be covered by the scope of protection of the present application.
Claims
1. A method for designing a double-groove structure for enhancing the separation performance of a spiral chute, wherein the trough body for separating minerals in the spiral chute is composed of an inner trough wall, an outer trough wall, and a trough surface, and a first groove and a second groove are provided on the trough surface, wherein the first groove is close to the inner trough wall side of the trough body, and the second groove is close to the outer trough wall side of the trough body, and the first groove and the second groove correspond one to one, characterized in that: The specific steps include: Step 1: Select the inner diameter and outer diameter of groove 1 and groove 2; Step 2: Determine that both groove 1 and groove 2 are in the form of equiangular helical lines, and select the equiangular helical angles of groove 1 and groove 2; Step 3: Select the maximum depth and minimum depth of groove 1 and groove 2; Step 4: Select the adjacent angle between groove 1 and groove 2, and select the groove width and the total number of grooves in the spiral chute based on the angle between the adjacent grooves; Step 5: Select the vertical distance between the outlet of groove 2 and the inlet of groove 1; Step 6: Perform a performance check on the double groove structure designed to enhance the separation performance of the spiral chute. If the performance meets the standard, the design is terminated. If the performance does not meet the standard, repeat steps 1 to 6. The helix angle constraint conditions of the equiangular helix of the groove 1 and the groove 2 are: β2=β1+β C Wherein, β1 is the helical angle of the equiangular helix of groove 1, β2 is the helical angle of the equiangular helix of groove 1; β C is the helix angle constant, and The expression of groove 1 in polar coordinates is: b1′=cotβ1 Among them, r L1 (θ) is the polar diameter of the groove 1 at the polar angle θ, b1′ is the coefficient that determines the growth rate of the equiangular helix of the groove 1, and β1 is the helical angle of the equiangular helix of the groove 1; The expression of groove 2 in polar coordinates is: b2′=cotβ2 Among them, r L2 (θ) is the polar diameter of the groove at the polar angle θ, b2′ is the coefficient that determines the growth rate of the equiangular helix of the groove two, and β2 is the helical angle of the equiangular helix of the groove two.
2. A double groove structure design method for enhancing the separation performance of a spiral chute according to claim 1, characterized in that: Obtain the radial distance between the zones of heavy ore particles and light ore particles at the spiral chute outlet when no double grooves are provided, the outer diameter of the spiral chute, and the inner diameter of the spiral chute; The range of groove inner diameter is: Among them, r b1 is the inner diameter of groove one, D is the outer diameter of the spiral chute, D0 is the inner diameter of the spiral chute, and r1 is the radial distance between the zones of heavy ore particles and light ore particles at the outlet of the spiral chute when double grooves are not provided; The range of groove outer diameter is: Among them, r o1 is the outer diameter of the groove; The range of the inner diameter of groove 2 is: Among them, r b2 is the second inner diameter of the groove; The range of the second outer diameter of the groove is: Among them, r o2 is the second outer diameter of the groove.
3. The double groove structure design method for enhancing the separation performance of a spiral chute according to claim 1, characterized in that: When double grooves are not provided, the radial distance between the zoning boundaries of heavy ore particles and light ore particles at the spiral chute outlet can be obtained by numerical calculation or experimental testing methods; The specific logic behind the numerical calculation method for obtaining the radial distance between the zoning boundaries of heavy and light ore particles at the spiral chute outlet when double grooves are not installed is as follows: the geometric parameters of the spiral chute outlet when double grooves are not installed are obtained; the density of the mineral to be processed, the particle diameter range, the aspect ratio of the particles, the surface roughness range of the particles, and the friction coefficient between the particles are defined using the Eulerian-Lagrangian method; the inlet pressure, outlet pressure, inlet flow rate, and outlet flow rate are set by querying historical operating conditions; the trajectory of the mineral particles is numerically calculated to directly obtain the radial distance between the zoning boundaries of heavy and light ore particles at the spiral chute outlet when double grooves are not installed; The specific logic for obtaining the radial distance of the separation zone boundary of heavy ore particles and light ore particles at the spiral chute outlet when no double grooves are set through experimental testing is: use a measuring tool to measure the radial distance of the separation zone boundary in the stable stage, and the stable stage is to measure the system flow rate, particle concentration and outlet pressure, and preset the flow rate stability range, particle concentration stability range and outlet pressure stability range. When the system flow rate, particle concentration and outlet pressure are maintained in the flow rate stability range, particle concentration stability range and outlet pressure stability range within 1 hour, it is defined that the system has reached the stable stage.
4. The double groove structure design method for enhancing the separation performance of a spiral chute according to claim 1, characterized in that: The maximum depth range of groove 1 and groove 2 in step 3 is: 0.5mm≤hm 1max <3.5mm 0.5mm≤hm 2max <3.5mm Among them, hm 1max is the maximum depth of groove 1, hm 2max The maximum depth of groove 2 The minimum depth of the groove 1 and the groove 2 is 0 mm, i.e., flush with the groove surface of the spiral chute; The groove 1 and the groove 2 are both grooves of unequal depth. From the outer wall to the inner wall of the groove body, the depth of the groove 1 and the groove 2 gradually decreases until the outlets of the groove 1 and the groove 2 are flush with the groove surface.
5. The double groove structure design method for enhancing the separation performance of a spiral chute according to claim 1, characterized in that: Obtain the adjacent groove angle coefficient, set the spiral chute dividing circle, and select the adjacent angle between groove 1 and groove 2 according to the adjacent groove angle coefficient and the number of spiral chute dividing circles; The specific logic for setting the number of demarcation circles of the spiral chute is as follows: the spiral chute inlet is set as the first circle, the spiral chute outlet is set as the Nth circle, the concentrate flow rate of each circle of the spiral chute is obtained, and the circle with the same concentrate flow rate as the outlet is set as the demarcation circle. If there is only one demarcation circle, then this circle is set as the demarcation circle of the spiral chute. If there are multiple demarcation circles, then the first demarcation circle is set as the demarcation circle of the spiral chute. The specific formula for setting the dividing circle of the spiral chute and selecting the angle between adjacent grooves is: Among them, a i is the adjacent angle between groove 1 and groove 2 in the i-th circle; C1 is the adjacent groove angle coefficient, N is the total number of spiral chute circles, N c is the index of the spiral chute boundary circle, i is the index of the circle, and i is a real number.
6. The double groove structure design method for enhancing the separation performance of a spiral chute according to claim 5, characterized in that: The specific formula for selecting the total number of grooves in the spiral chute is: Where MP is the total number of grooves in the spiral chute, α c1 is the adjacent angle between groove 1 and groove 2 before the spiral flow channel Nc circle, α c2 is the adjacent angle between groove 1 and groove 2 after Nc turns of the spiral flow channel; The specific formula for selecting the groove width is: w1(i)=λa i r o1 w2(i)=λa i r o2 Where w1(i) is the groove width of groove 1 in the i-th circle, w2(i) is the groove width of groove 2 in the i-th circle, r o1 is the outer diameter of the groove, r o2 is the outer diameter of the groove, λ is the center angle constant, and 0<λ≤0.
4.
7. The double groove structure design method for enhancing the separation performance of a spiral chute according to claim 6, characterized in that: The vertical distance between the second groove outlet and the first groove inlet of each circle is within the range of: L i ≤0.9α i r o1 Among them, L i is the vertical distance between the second outlet of groove and the first inlet of groove in the i-th circle, r o1 is the outer diameter of the groove.
8. The double groove structure design method for enhancing the separation performance of a spiral chute according to claim 1, characterized in that: The specific logic for using model testing to perform performance verification on the double-groove structure designed to enhance the separation performance of a spiral chute is as follows: Based on the design structural parameters of the grooves described above, grooves one and two are machined on an existing spiral chute model. The model test includes sampling, drying, and weighing each sample, and calculating the yield and recovery rate of the target mineral in the concentrate zone. If the yield and recovery rate of the double-groove structure designed to enhance the separation performance of the spiral chute are both higher than those of the double-groove structure of the existing spiral chute separation performance, the design is terminated; otherwise, steps 1 to 6 are repeated. The formula for calculating the yield of target minerals in the ore belt is: Where γ is the yield of the target mineral in the ore belt, M is the mass of all imported minerals, and m is the mass of the target mineral in the concentrate belt. The recovery rate of target minerals in the ore belt is calculated as follows: Among them, ε is the recovery rate of the target mineral in the ore belt, ζ1 is the grade of the target mineral, and ζ2 is the grade of the original ore.
9. The double groove structure design method for enhancing the separation performance of a spiral chute according to claim 1, characterized in that: A numerical calculation method is used to perform a performance check on the double groove structure designed to enhance the separation performance of the spiral chute. The specific logic is as follows: a numerical simulation model is constructed based on the known structural parameters of the spiral chute and the design structural parameters of grooves one and two. The separation efficiency of the spiral chute is calculated and the Reynolds number of the last circle of the spiral chute is extracted. If the separation efficiency and the Reynolds number of the last circle of the spiral chute designed to enhance the separation performance of the spiral chute are both higher than those of the double groove structure with the existing separation performance of the spiral chute, the design is terminated. Otherwise, steps 1 to 6 are repeated. The calculation formula for the separation efficiency of the spiral chute is: Among them, η is the sorting efficiency of the spiral chute, Q 1A is the mass flow rate of the target solid particles A in the raw ore slurry at the spiral chute inlet, is the mass flow rate of the non-target solid particles B in the raw ore slurry at the spiral chute inlet, Q 2A is the mass flow rate of target solid particles A in the concentrate zone at the spiral chute outlet, Q 2B is the mass flow rate of non-target solid particles B in the concentrate zone at the spiral chute outlet, The formula for extracting the Reynolds number is: Where Re is the Reynolds number of the last turn of the spiral chute, v is the flow velocity, d is the film thickness, μ is the dynamic viscosity, and ρ is the slurry density.
Citation Information
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