A hydrocyclone and a design method for its volute inlet curve

Abstract

The invention provides a hydrocyclone and a design method for a volute inlet curve thereof. The hydrocyclone comprises a cylinder, a cone structure, an overflow pipe, a sand settling nozzle and a feeding port. The large-diameter end of the cone structure is connected to one end of the cylinder, the other end of the cylinder is provided with an overflow pipe, the small-diameter end of the cone structure is connected to the sand settling nozzle, a feeding port of a rectangular cavity structure is arranged on the circumferential surface of the cylinder, the feeding port and the cylinder are smoothly tangent to form a volute inlet curve, comprising a cycloid segment and an arc segment I located on both sides of the feeding port, one end of the cycloid segment is inwardly tangent to the outer circle of the cylinder, the other end of the cycloid segment is tangent to one side surface of the feeding port, one end of the arc segment I is outwardly tangent to the outer circle of the cylinder, and the other end of the arc segment I is tangent to the other side surface of the feeding port; the hydrocyclone can reduce the ineffective energy loss of the hydrocyclone by reducing the pressure loss of the inlet section, improve the effective feeding pressure, accelerate the slurry flow rate, improve the classification effect, and finally increase the sand settling concentration.

Description

Technical Field

[0001] The invention relates to the technical field of mechanical products, and in particular to a hydrocyclone and a design method for a volute inlet curve thereof. Background Art

[0002] Hydrocyclone is a highly efficient separation device that uses centrifugal force field to separate two-phase or multi-phase fluids. It has the advantages of simple structure, convenient operation, large production capacity, high separation efficiency, small footprint, no transmission parts and easy automatic control, and is widely used in many fields. With the optimization of the structure of hydrocyclone, the improvement of wear-resistant materials, the rationalization of process flow, the improvement of technical calculations, the adoption of automatic control technology and the popularization of computers, its application field is further expanded, and the economic and social benefits are more obvious.

[0003] The volute is a converter that converts the linear motion of the liquid flow into the circular motion of the liquid flow. Therefore, the liquid flow is required to smoothly enter the swirl state. The so-called smooth entry of the liquid flow into the swirl state means that the transition state into the swirl state has small losses along the way; the inner wall curve is smoothly connected without inflection points; the center of curvature is on the same side. The energy loss along the way is small, and the efficiency of the cyclone is high; the smooth transition will make the streamline inside the cyclone smooth, and no vortex will be generated on the inner wall boundary; cavitation and cavitation will not occur on the same side of the center of curvature.

[0004] Common volute inlet curve structures of hydrocyclones include tangent inlet structure, Archimedean spiral inlet structure and logarithmic spiral inlet structure. Some companies also use involute inlet structure. However, these inlet structures have some problems: although the tangent inlet structure is simple to process, the inlet energy loss is larger than other structures; although the Archimedean spiral inlet structure can reduce the inlet energy loss, the processing is more complicated; in order to avoid collision between the liquid flows after the inlet, the logarithmic spiral inlet structure should adopt a downhill angle spiral structure on the axis; the base circle radius and tangent point of the involute inlet structure need to be determined in the design, which is complicated to calculate. Summary of the invention

[0005] In view of the shortcomings of the prior art, the present invention provides a hydrocyclone, comprising a cylinder (1), a cone structure (2), an overflow pipe (3), a sand settling spout (4), and a ore feeding port (5), wherein the cylinder (1) is a cylindrical cavity structure with upper and lower ends opened, the upper and lower ends of the cone structure (2) are connected, the large-diameter end of the cone structure (2) is connected to one end of the cylinder (1), the other end of the cylinder (1) is provided with an overflow pipe (3), the small-diameter end of the cone structure (2) is connected to the sand settling spout (4), and the cylinder (1) A rectangular cavity-structured feeding port (5) is provided on the circumferential surface of the cylinder (1), the feeding port (5) and the cylinder (1) are smoothly tangent to form a volute inlet curve, the volute inlet curve comprises a cycloid segment and an arc segment I located on both sides of the feeding port (5), one end of the cycloid segment is intangent to the outer circle of the cylinder (1), the other end of the cycloid segment is tangent to a side surface S of the feeding port (5), one end of the arc segment I is tangent to the outer circle of the cylinder (1), and the other end of the arc segment I is tangent to another side surface S' of the feeding port (5);

[0006] The radius of the cycloid segment is equal to half of the radius of the hydrocyclone, and the radian corresponding to the cycloid segment is 0-π.

[0007] A design method based on a volute inlet curve of the hydrocyclone, comprising:

[0008] Step 1: Establish a rectangular coordinate system XOY with O as the origin, and make a circle with an arc of 0 to π and a radius of r with O as the starting point. 1 2, the end point of the cycloid segment is point A, where r 1 is the radius of the hydrocyclone;

[0009] Step 2: Draw a straight line parallel to the Y axis through the end point A of the cycloid segment, intersecting the X axis at point B;

[0010] Step 3: Draw a circle with radius r and point B as the center. 1 The circle D1 is the outer circle of the cylinder;

[0011] Step 4: Draw the tangent line L1 of the cycloid segment at point O, and intercept the line segment OC on the tangent line L1 along the negative direction of the Y axis, where the length of OC is determined by the depth of the feed port. Draw the perpendicular line L2 of the line segment OC through point C, and intercept the line segment CD on the same side of the circle D1. The length of the line segment CD is determined by the width of the feed port. Draw the straight line DE parallel to the line segment OC through point D, and intersect the X axis at point E;

[0012] Step 5: Draw a circle with a radius of r that is tangent to circle D1 and tangent to the perpendicular DE. 2 The circle D3, where r 2 is the preset radius value of circle D3, the tangent point with line segment DE is point F, and the tangent point with the outer circle of the cylinder is point G;

[0013] Step 6: Cut the arc segment between point G and point A, cut the arc segment between the tangent point F and the tangent point G, and cut the straight line segment EF from the tangent point F to the X-axis to obtain the volute inlet curve of the hydrocyclone, wherein the space enclosed by the closed curve composed of the straight line segments OC, CD, DF, the arc segment FG, the superior arc segment GA, and the cycloid segment AO is the inlet channel formed between the feed port and the cylinder.

[0014] Furthermore, another volute inlet curve formed by the smooth tangency between the feed port (5) and the cylinder (1) comprises an arc segment I and an arc segment II located on both sides of the feed port (5), one end of the arc segment II is tangent to the side surface S of the feed port (5), and the other end of the arc segment II is inscribed in the outer circle of the cylinder (1);

[0015] The radius r of arc segment II 3 Designed for where r 1 is the radius of the hydrocyclone, r 2 is the preset radius value of the arc segment I, f represents the width of the feed opening, K represents the correction coefficient, and the value range of K is 0≤K≤1.

[0016] A design method for another volute inlet curve based on the hydrocyclone, comprising:

[0017] Step 1: Establish a rectangular coordinate system XO'Y with O' as the origin, and draw a circle with radius r with O' as the center. 1 The circle O' is the outer circle of the cylinder, and the intersection of the circle O' and the positive semi-axis of the Y axis is point A';

[0018] Step 2: Draw a straight line Y2 through point O' with an angle of α with the positive direction of the X-axis. The intersection of the straight line Y2 and the circle O' in the negative direction of the Y-axis is point B', satisfying K = sinα, 0≤α≤π;

[0019] Step 3: Take point O' as the starting point and intercept line segment O'C' on the straight line Y2 on the positive side of the Y axis. The length of line segment O'C' is Where f represents the width of the feed opening;

[0020] Step 4: Draw a circle D4 with point C' as the center and the length of line segment B'C' as the radius. Then point B' is the tangent point where the outer circle of the cylinder is inscribed with one end of circle D4.

[0021] Step 5: Draw a straight line Y1 through point C' parallel to the Y axis. The intersection of the straight line Y1 and the circle D4 in the positive direction of the Y axis is point D'. Draw a straight line L3 through point D' parallel to the X axis. On the straight line L3, cut a line segment D'E' in the direction away from the circle D4. The length of the line segment D'E' is determined according to the depth of the feed port.

[0022] Step 6: Draw a line segment E'F' parallel to the Y axis along the negative direction of the Y axis through point E'. The length of the line segment E'F' is determined according to the width of the feed port.

[0023] Step 7: Draw a straight line L4 through point F' parallel to the X axis, and draw a radius r that is tangent to the circle O' and tangent to the straight line L4. 2 The circle D3, where r 2 is the preset radius value of arc segment I, the tangent point with straight line L4 is point G', and the tangent point with the outer circle of the cylinder is point A';

[0024] Step 8: Cut the arc segment between point B' and point A', cut the arc segment between point D' and point B', cut the arc segment between point G' and point A', and obtain the volute inlet curve of the hydrocyclone, wherein the space enclosed by the closed curve composed of the straight line segments D'E', E'F', F'G', the arc segments G'A', A'B', and B'D' is the inlet channel formed between the feed port and the cylinder.

[0025] The beneficial effects of the present invention are:

[0026] The present invention proposes a design method for a hydrocyclone and its volute inlet curve. The hydrocyclone can reduce energy loss at the inlet, has a simple structure, and can smoothly transform the liquid flow from linear motion to high-speed rotating circular motion. There is no "inflection point" at the connection between the volute inlet curve and the arc. By reducing the pressure loss at the inlet section, the ineffective energy loss of the hydrocyclone can be reduced, the effective ore feeding pressure can be increased, the slurry flow rate can be accelerated, the classification effect can be improved, and the final sand concentration can be increased. BRIEF DESCRIPTION OF THE DRAWINGS

[0027] Figure 1 It is a schematic diagram of the structure of the hydrocyclone adopting the first volute inlet curve design in the present invention;

[0028] Figure 2 It is a schematic diagram of the structure of the hydrocyclone adopting the second volute inlet curve design in the present invention;

[0029] Figure 3 The first volute inlet curve of the present invention is a design principle diagram and a schematic diagram, wherein (a) represents the design principle diagram of the first volute curve, and (b) represents the schematic diagram of the first volute inlet curve;

[0030] Figure 4 The design principle diagram and schematic diagram of the second volute inlet curve in the present invention, wherein (a) represents the design principle diagram of the second volute curve, and (b) represents the schematic diagram of the second volute inlet curve;

[0031] In the figure, 1, cylinder, 2, cone structure, 3, overflow pipe, 4, sand settling spout, 5, feed port, 6, flange, 7, side S of the feed port. DETAILED DESCRIPTION

[0032] The invention will be further described below with reference to the accompanying drawings and specific implementation examples.

[0033] Example 1: Figure 1 As shown, one of the hydrocyclones provided by the present invention comprises a cylinder 1, a cone structure 2, an overflow pipe 3, a sand settling spout 4, and an ore feeding port 5. The cylinder 1 is a cylindrical cavity structure with openings at both ends. The cone structure 2 is connected at both ends. The large-diameter end of the cone structure 2 is connected to one end of the cylinder 1 through a flange 6, and the other end of the cylinder 1 is connected to the overflow pipe 3 through the flange 6. The small-diameter end of the cone structure 2 is connected to the sand settling spout 4 through the flange 6. The circumferential surface of the cylinder 1 is provided with an ore feeding port 5 of a rectangular cavity structure. For easy disassembly and assembly, the entire cone structure is 2 is designed as three cone sections, the inner and outer diameters of the cone sections connected in pairs are equal, and they are connected by flanges 6 respectively. The feed port 5 is smoothly tangent to the cylinder 1 to form a volute inlet curve, and the volute inlet curve includes a cycloid segment and an arc segment I located on both sides of the feed port 5, one end of the cycloid segment is intangent to the outer circle of the cylinder 1, and the other end of the cycloid segment is tangent to a side surface S7 of the feed port 5, one end of the arc segment I is tangent to the outer circle of the cylinder 1, and the other end of the arc segment I is tangent to the other side surface S' of the feed port 5, wherein the side surface S' is a side surface opposite to the side surface S7;

[0034] The radius of the cycloid segment is equal to half of the radius of the hydrocyclone, and the radian corresponding to the cycloid segment is 0-π.

[0035] like Figure 3 As shown, a design method for the volute inlet curve of the hydrocyclone based on Example 1 includes:

[0036] Step 1: Establish a rectangular coordinate system XOY with O as the origin, and make a cycloid segment with an arc of 0 to π and a radius of r12 with O as the starting point. The end point of the cycloid segment is point A, where r 1 is the radius of the hydrocyclone;

[0037] Step 2: Draw a straight line parallel to the Y axis through the end point A of the cycloid segment, intersecting the X axis at point B;

[0038] Step 3: Draw a circle with radius r and point B as the center. 1 The circle D1 is the outer circle of the cylinder, and the circle D2 is the outer circle of the overflow pipe made with the outer diameter of the overflow pipe;

[0039] Step 4: Draw the tangent line L1 of the cycloid segment at point O, and intercept the line segment OC on the tangent line L1 along the negative direction of the Y axis, where the length of OC is determined by the depth of the feed port. Draw the perpendicular line L2 of the line segment OC through point C, and intercept the line segment CD on the same side of the circle D1. The length of the line segment CD is determined by the width of the feed port. Draw the straight line DE parallel to the line segment OC through point D, and intersect the X axis at point E;

[0040] Step 5: Draw a circle with a radius of r that is tangent to circle D1 and tangent to the perpendicular DE. 2 The circle D3, where r 2 is the preset radius value of circle D3, the tangent point with line segment DE is point F, and the tangent point with the outer circle of the cylinder is point G;

[0041] Step 6: Cut the inferior arc segment between point G and point A, cut the arc segment between the tangent point F and the tangent point G, the arc segment indicated by the dotted line in the figure is the part to be cut, cut the straight line segment EF from the tangent point F to the X-axis, and obtain the volute inlet curve of the hydrocyclone, wherein the space enclosed by the closed curve composed of the straight line segments OC, CD, DF, the arc segment FG, the superior arc segment GA, and the cycloid segment AO is the inlet channel formed between the feed port and the cylinder.

[0042] For a circular elbow, the calculation formula for the head loss coefficient is as follows:

[0043]

[0044] In the formula, R 0 represents the average curvature radius of the circular bend, d represents the diameter of the circular bend, θ 0 Indicates the central angle corresponding to the circular bend;

[0045] The present invention calculates the resistance coefficient of the hydrocyclone volute inlet according to the principle of formula (1), where R 0 It is understood as the average polar radius of the hydrocyclone volute inlet curve, d is understood as the width of the hydrocyclone inlet, which is 100 mm, θ 0 It is understood as the central angle corresponding to the volute inlet curve, the radius r of the hydrocyclone 1 =180mm,θ 0 Taking the value as π / 2, the resistance coefficients of four volute inlet curves are compared below:

[0046] For the volute inlet curve of circular tangent type, the inlet resistance coefficient is calculated as follows:

[0047]

[0048] For the Archimedean spiral volute inlet curve, the inlet resistance coefficient is calculated as follows:

[0049] If θ 0Divided into 10 equal parts, the average polar radius is:

[0050]

[0051] Drag coefficient

[0052] According to the volute inlet curve designed in this embodiment 1, the inlet resistance coefficient is calculated as follows:

[0053] The equation of the cycloid is:

[0054] Its mean polar radius is:

[0055]

[0056] Drag coefficient

[0057] Example 2: Figure 2 As shown, the present invention provides another hydrocyclone, including a cylinder 1, a cone structure 2, an overflow pipe 3, a sand settling spout 4, and an ore feeding port 5. The cylinder 1 is a cylindrical cavity structure with openings at both ends. The cone structure 2 is connected at both ends. The large-diameter end of the cone structure 2 is connected to one end of the cylinder 1 through a flange 6, and the other end of the cylinder 1 is connected to the overflow pipe 3 through the flange 6. The small-diameter end of the cone structure 2 is connected to the sand settling spout 4 through the flange 6. The circumferential surface of the cylinder 1 is provided with an ore feeding port 5 of a rectangular cavity structure. For easy disassembly and assembly, the entire cone structure 2 is provided with a plurality of cylindrical cavity structures. It is counted as three cone sections, and the inner and outer diameters of the cone sections connected in pairs are equal. They are connected by flanges 6 respectively. The feed port 5 is smoothly tangent to the cylinder body 1 to form another kind of volute inlet curve. This volute inlet curve includes arc section I and arc section II located on both sides of the feed port 5, one end of the arc section II is tangent to the side S of the feed port 5, and the other end of the arc section II is intangent to the outer circle of the cylinder body 1, one end of the arc section I is tangent to the outer circle of the cylinder body 1, and the other end of the arc section I is tangent to the other side S' of the feed port 5, wherein the side S' is the side opposite to the side S7.

[0058] The radius r of arc segment II 3 Designed for where r 1 is the radius of the hydrocyclone, r 2 is the preset radius value of the arc segment I, f represents the width of the feed opening, K represents the correction coefficient, and the value range of K is 0≤K≤1.

[0059] like Figure 4 As shown, a design method for the volute inlet curve of the hydrocyclone based on Example 2 includes:

[0060] Step 1: Establish a rectangular coordinate system XO'Y with O' as the origin, and draw a circle with radius r with O' as the center. 1 The circle O' is the outer circle of the cylinder, and the intersection of the circle O' and the positive semi-axis of the Y axis is point A';

[0061] Step 2: Draw a straight line Y2 through point O' with an angle of α with the positive direction of the X-axis. The intersection of straight line Y2 and circle O' in the negative direction of the Y-axis is point B', satisfying K = sinα, 0≤α≤π; when α = 0, point B' falls on the negative half axis of the X-axis, and when α = π, point B' falls on the positive half axis of the X-axis;

[0062] Step 3: Take point O' as the starting point and intercept line segment O'C' on the straight line Y2 on the positive side of the Y axis. The length of line segment O'C' is Where f represents the width of the feed opening;

[0063] Step 4: Draw a circle D4 with point C' as the center and the length of line segment B'C' as the radius. Then point B' is the tangent point where the outer circle of the cylinder is inscribed with one end of circle D4.

[0064] Step 5: Draw a straight line Y1 through point C' parallel to the Y axis. The intersection of the straight line Y1 and the circle D4 in the positive direction of the Y axis is point D'. Draw a straight line L3 through point D' parallel to the X axis. On the straight line L3, cut a line segment D'E' in the direction away from the circle D4. The length of the line segment D'E' is determined according to the depth of the feed port.

[0065] Step 6: Draw a line segment E'F' parallel to the Y axis along the negative direction of the Y axis through point E'. The length of the line segment E'F' is determined according to the width of the feed port.

[0066] Step 7: Draw a straight line L4 through point F' parallel to the X axis, and draw a radius r that is tangent to the circle O' and tangent to the straight line L4. 2 The circle D3, where r 2 is the preset radius value of arc segment I, the tangent point with straight line L4 is point G', and the tangent point with the outer circle of the cylinder is point A';

[0067] Step 8: Cut the superior arc segment between point B' and point A', cut the inferior arc segment between point D' and point B', and cut the arc segment between point G' and point A' to obtain the volute inlet curve of the hydrocyclone, wherein the space enclosed by the closed curve composed of the straight line segments D'E', E'F', F'G', the arc segments G'A', A'B', and B'D' is the inlet channel formed between the feed port and the cylinder.

[0068] According to the volute inlet curve designed in this embodiment 2, the inlet resistance coefficient is calculated as follows:

[0069] Here we take the angle Then the mean polar radius is:

[0070]

[0071]

[0072] It can be known from the above calculation that the two volute inlet curves provided by the present invention can both reduce the inlet resistance of the hydrocyclone.

[0073] Theoretical research on the segmented measurement of the pressure loss of the hydrocyclone shows that the pressure loss of the inlet section accounts for 40% of the total pressure loss. Reducing the pressure loss of the inlet section is a breakthrough in reducing the ineffective energy loss of the hydrocyclone. The inlet structure of the two volute inlet curves designed by the present invention is only related to the radius of the hydrocyclone, and the constituent curves adopt a tangent design. These two designs increase the average polar radius of the inlet curve, reduce the inlet resistance coefficient, reduce the pressure loss of the inlet section, and thus reduce the total pressure loss. These two designs increase the effective ore feeding pressure of the hydrocyclone, speed up the flow rate of the slurry, improve the classification effect, and finally increase the sand concentration.

Claims

1. A method for designing a volute inlet curve of a hydrocyclone, the hydrocyclone comprising a cylinder (1), a cone structure (2), an overflow pipe (3), a sand settling spout (4), and an ore feeding port (5), the cylinder (1) being a cylindrical cavity structure with openings at both ends, the cone structure (2) being connected at both ends, the large-diameter end of the cone structure (2) being connected to one end of the cylinder (1), the overflow pipe (3) being inserted at the other end of the cylinder (1), the small-diameter end of the cone structure (2) being connected to the sand settling spout (4), and the ore feeding port (5) having a rectangular cavity structure being arranged on the circumferential surface of the cylinder (1), characterized in that: The feed port (5) is smoothly tangent to the cylinder (1) to form a volute inlet curve, and the volute inlet curve includes a cycloid segment and a circular arc segment I located on both sides of the feed port (5), one end of the cycloid segment is inscribed in the outer circle of the cylinder (1), and the other end of the cycloid segment is inscribed in the side surface of the feed port (5). One end of the arc segment I is tangent to the outer circle of the cylinder (1), and the other end of the arc segment I is tangent to the other side of the feed port (5). Tangent; The radius of the cycloid segment is equal to half of the radius of the hydrocyclone, and the radian corresponding to the cycloid segment is 0~π; The design method of the volute inlet curve comprises: Step 1: Establish a rectangular coordinate system XOY with O as the origin, and make a circle with an arc of 0~π and a radius of The end point of the cycloid segment is point A, where is the radius of the hydrocyclone; Step 2: Draw a straight line parallel to the Y axis through the end point A of the cycloid segment, intersecting the X axis at point B; Step 3: Draw a circle with point B as the center and radius The circle D1 is the outer circle of the cylinder; Step 4: Draw the tangent line L1 of the cycloid segment at point O, and intercept the line segment OC on the tangent line L1 along the negative direction of the Y axis, where the length of OC is determined by the depth of the feed port. Draw the perpendicular line L2 of the line segment OC through point C, and intercept the line segment CD on the same side of the circle D1. The length of the line segment CD is determined by the width of the feed port. Draw the straight line DE parallel to the line segment OC through point D, and intersect the X axis at point E; Step 5: Draw a radius that is tangent to circle D1 and tangent to the vertical line DE. circle D3, where is the preset radius value of circle D3, the tangent point with line segment DE is point F, and the tangent point with the outer circle of the cylinder is point G; Step 6: Cut the arc segment between point G and point A, cut the arc segment between the tangent point F and the tangent point G, and cut the straight line segment EF from the tangent point F to the X-axis to obtain the volute inlet curve of the hydrocyclone, wherein the space enclosed by the closed curve composed of the straight line segments OC, CD, DF, the arc segment FG, the superior arc segment GA, and the cycloid segment AO is the inlet channel formed between the feed port and the cylinder.

2. The method for designing a volute inlet curve of a hydrocyclone according to claim 1, characterized in that: The feed port (5) is smoothly tangent to the cylinder (1) to form another volute inlet curve, including arc segments I and II located on both sides of the feed port (5), one end of the arc segment II is in contact with the side of the feed port (5). The other end of the arc segment II is tangent to the outer circle of the cylinder (1); Radius of arc segment II Designed for ,in is the radius of the hydrocyclone, is the preset radius value of arc segment I, Indicates the width of the feed opening. represents the correction factor, K The value range is 0≤ K ≤1; The another design method of the volute inlet curve comprises: Step 1: Establish a rectangular coordinate system with point as the origin ,by The point is the center and the radius is Circle , then the circle The outer circle of the cylinder is The intersection point with the positive half axis of the Y axis is point ; Step 2: Pass Make a line with an angle of The straight line Y2, remember the straight line Y2 and the circle The intersection point on the negative direction of the Y axis is point , satisfy , ; Step 3: Take the point as the starting point and intercept the line segment on the straight line Y2 on the positive side of the Y axis , line segment The length is ,in Indicates the width of the feed opening; Step 4: Point Center of circle, line segment With the length of The point is the tangent point where the outer circle of the cylinder is intangent to one end of the circle D4; Step 5: Passing Draw a straight line Y1 parallel to the Y axis. The intersection of the straight line Y1 and the circle D4 in the positive direction of the Y axis is point , past Draw a straight line L3 parallel to the X-axis and cut a line segment on the straight line L3 in the direction away from the circle D4. , line segment The length is determined according to the depth of the feed port; Step 6: Passing Draw a line segment parallel to the Y axis along the negative direction of the Y axis , line segment The length is determined according to the width of the feed opening; Step 7: Passing Draw a straight line L4 parallel to the X axis and a circle The radius of the line tangent to the outer line L4 is circle D3, where is the preset radius value of arc segment I, and the tangent point with straight line L4 is point , the point of tangency with the outer circle of the cylinder is point ; Step 8: Cut Point and Arc segment between points, cut Point and Arc segment between points, cut Point and The arc segment between the points is used to obtain the volute inlet curve of the hydrocyclone, where the straight line segment , , , arc segment , , The space enclosed by the closed curve together is the entrance passage formed between the feed port and the cylinder.

Images