A method for calculating the theoretical flow of a peristaltic pump

Abstract

The present application relates to flow calculation method technical field, especially to a kind of peristaltic pump theoretical flow calculation method.The geometric parameters of peristaltic pump are obtained, including pump shell inner diameter, hose inner and outer diameter, rotor outside rotation radius, rotor radius, rotor number and motor speed;Based on the outer diameter of hose and the radius of rotor, the geometric characteristic quantity of the occupied area formed when the rotor extrudes the hose is constructed;The occupied volume of single rotor extruding hose is calculated by integral operation;The theoretical volume of adjacent rotor inter-hose is calculated without considering the change of pipe wall thickness;The actual volume of adjacent rotor inter-hose conveying fluid is determined;According to actual volume, rotor number and motor speed, the flow of peristaltic pump is calculated.The purpose of the present application is to solve the technical problem that the calculation accuracy is not high due to the neglect of the influence of hose deformation and rotor extrusion on flow in the prior art peristaltic pump theoretical flow calculation method.

Description

Technical Field

[0001] This invention relates to the field of flow calculation methods, and in particular to a method for calculating the theoretical flow rate of a peristaltic pump. Background Technology

[0002] A peristaltic pump is a device that delivers fluids by squeezing a tubing, and it is widely used in medical, biopharmaceutical, and food processing fields. The working principle of a peristaltic pump is to use a rotor to squeeze the tubing, propelling the fluid inside and thus achieving a quantitative delivery of the fluid. In the design and application of peristaltic pumps, accurately calculating their theoretical flow rate is crucial for ensuring delivery accuracy.

[0003] However, existing methods for calculating the theoretical flow rate of peristaltic pumps have some technical problems. First, when calculating the volume of the pump tubing between two adjacent rotors, the deformation of the tubing during peristalsis and the influence of rotor compression on the flow rate are often ignored, resulting in large calculation deviations and low accuracy. Second, when the tubing is bent and subjected to rotor compression, its shape is irregular, especially at the location of compression, where severe deformation makes it difficult to accurately calculate its volume.

[0004] Furthermore, existing calculation methods often employ simplified models, such as treating hoses as equivalent to regular geometries, or using empirical formulas for correction. While these methods improve computational efficiency to some extent, they also introduce additional errors. Especially in applications requiring high-precision flow control, these errors can lead to unsatisfactory practical results. Summary of the Invention

[0005] The purpose of this invention is to solve the technical problem that the theoretical flow rate calculation method for peristaltic pumps in the prior art ignores the influence of hose deformation and rotor compression on the flow rate, resulting in low calculation accuracy.

[0006] To achieve the above objectives, the present invention adopts the following technical solution:

[0007] According to one aspect of the present invention, a method for calculating the theoretical flow rate of a peristaltic pump is provided, comprising the following steps: obtaining the geometric parameters of the peristaltic pump, wherein the geometric parameters include at least: the inner diameter R of the pump casing. D Inner diameter of the hose d, outer diameter of the hose D, and outer radius of rotation of the rotor r rw Rotor radius r r The number of rotors N and the motor speed n0; based on the outer diameter D of the hose and the rotor radius r rA geometric feature quantity is constructed to represent the squeezed area formed inside the hose when the rotor squeezes the hose. Based on the geometric feature quantity, the squeezed volume V2 of a single rotor squeezing the hose is calculated through integration. Based on the geometric parameters, the theoretical hose volume V1 between adjacent rotors is calculated without considering the change in hose wall thickness. According to the theoretical volume V1 and the squeezed volume V2, the actual volume V0 = V1 - V2 of the fluid transported by the hose between adjacent rotors is determined. According to the actual volume V0, the number of rotors N, and the motor speed n0, the flow rate Q of the peristaltic pump is calculated as Q = V0 * N * n0.

[0008] Optionally, the geometric feature quantity is the radius r2 of the squeeze circle, and its calculation formula is as follows: .

[0009] Alternatively, the integral formula for calculating the squeezed volume V2 through the integral operation is constructed based on the squeezed circle radius r2, the inner diameter of the hose d, and the center distance g between the hose and the roller.

[0010] Optionally, the formula for calculating the center distance g is: , where R C The radius of the hose centerline. .

[0011] Optionally, the integral formula for calculating the squeezed volume V2 is as follows: .

[0012] Optionally, the formula for calculating the theoretical volume V1 is as follows: ,in .

[0013] Optionally, the error between the theoretical flow rate and the actual flow rate obtained by the method is within 5%.

[0014] The advantages of this invention are as follows: by establishing a mathematical model that considers the effects of hose deformation and rotor compression, and especially by calculating the volume of the annular compressed hose through integration, the impact of hose deformation on the calculation accuracy of the theoretical flow rate of the peristaltic pump is effectively reduced. Compared with the prior art, the error between the theoretical flow rate and the actual flow rate calculated by the method of this invention can be controlled within 5%, significantly improving the calculation accuracy of the theoretical flow rate. Experimental data verification shows that the method of this invention can maintain high calculation accuracy when applied to various types of peristaltic pumps, providing a more reliable theoretical basis for the design and application of peristaltic pumps. Attached Figure Description

[0015] To more clearly illustrate the technical solutions in the embodiments of the present invention, the accompanying drawings used in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0016] Figure 1 This refers to the theoretical shapes of the hose and rotor in Embodiment 1 of the present invention;

[0017] Figure 2 This is a flowchart of the method for calculating the theoretical flow rate of a peristaltic pump according to the present invention. Detailed Implementation

[0018] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0019] Example 1

[0020] like Figure 1 As shown, a method for calculating the theoretical flow rate of a peristaltic pump includes the following steps:

[0021] S1: Obtain the geometric parameters of the peristaltic pump

[0022] Obtain the geometric parameters of the peristaltic pump, which include at least the pump casing inner diameter R. D Inner diameter of the hose d, outer diameter of the hose D, and outer radius of rotation of the rotor r rw Rotor radius r r The number of rotors N and the motor speed n0 are the fundamental parameters for calculating the theoretical flow rate of a peristaltic pump. These parameters need to be obtained through measurement or from the peristaltic pump design specifications.

[0023] S2: Geometric feature of the squeezed region formed inside the hose during rotor extrusion hose construction.

[0024] Based on the hose outer diameter D and rotor radius r r Construct a geometric feature of the squeezed region formed inside the hose during rotor extrusion. This geometric feature is the squeezed circle radius r2, and its calculation formula is... .

[0025] S3: Calculate the squeeze volume V2 of a single rotor extruding hose.

[0026] Based on the aforementioned geometric features, the squeeze volume V2 of a single rotor extrusion hose is calculated through integration. The integral formula for calculating the squeeze volume V2 is as follows: The integral formula is based on the radius r2 of the squeeze circle, the inner diameter d of the hose, and the center distance g between the hose and the roller, where the formula for calculating the center distance g is: , where R C The radius of the hose centerline. .

[0027] S4: Calculate the theoretical volume V1 of the flexible hose between adjacent rotors without considering variations in pipe wall thickness.

[0028] Based on the acquired geometric parameters, the theoretical volume V1 of the hose between adjacent rotors is calculated without considering compression. The formula for calculating the theoretical volume V1 is as follows: ,in .

[0029] S5: Determine the actual volume V0 of fluid transported by the hose between adjacent rotors.

[0030] Based on the theoretical volume V1 and the squeezed volume V2, the actual volume of fluid transported by the hose between adjacent rotors is determined to be V0 = V1 - V2. This actual volume V0 represents the actual volume of fluid that the hose between two adjacent rotors can transport.

[0031] S6: Calculate the flow rate Q of the peristaltic pump.

[0032] Based on the actual volume V0, the number of rotors N, and the motor speed n0, calculate the flow rate Q of the peristaltic pump: Q = V0 * N * n0.

[0033] In a preferred embodiment, the error between the theoretical flow rate and the actual flow rate obtained by the above method is within 5%, indicating that the calculation method has high accuracy. This high-precision flow rate calculation method can be applied to fluid transport systems in medical devices, laboratory analytical instruments, and industrial production processes that require precise flow control.

[0034] Based on experimental calculations performed on the company's peristaltic pumps, the calculation results and accuracy of the above formula were further verified. The experimental results are shown in Table 1 below. Applied to various types of peristaltic pumps, the calculation error can be controlled within approximately 5% compared to the actual flow rate.

[0035] Table 1: Theoretical and Actual Flow Rates of Peristaltic Pumps

[0036]

[0037] The above description is merely a specific embodiment of the present invention, but the scope of protection of the present invention is not limited thereto. Any variations or substitutions that can be easily conceived by those skilled in the art within the scope of the technology disclosed in the present invention should be included within the scope of protection of the present invention. Therefore, the scope of protection of the present invention should be determined by the scope of the claims.

Claims

1. A method for calculating the theoretical flow rate of a peristaltic pump, characterized in that, Includes the following steps: Obtain the geometric parameters of the peristaltic pump, wherein the geometric parameters include at least the pump casing inner diameter R. D Inner diameter of the hose d, outer diameter of the hose D, and outer radius of rotation of the rotor r rw Rotor radius r r The number of rotors N and the motor speed n0; Based on the hose outer diameter D and rotor radius r r Construct a geometric feature of the squeezed region formed inside the hose when the rotor squeezes the hose; Based on the aforementioned geometric features, the squeeze volume V2 of a single rotor extrusion hose is calculated through integration. Based on the geometric parameters, calculate the theoretical volume V1 of the hose between adjacent rotors without considering the change in pipe wall thickness; Based on the theoretical volume V1 and the squeezed volume V2, the actual volume of fluid transported by the hose between adjacent rotors is determined to be V0 = V1 - V2; Based on the actual volume V0, the number of rotors N, and the motor speed n0, the flow rate Q of the peristaltic pump is calculated as Q = V0 * N * n0.

2. The method for calculating the theoretical flow rate of a peristaltic pump according to claim 1, characterized in that, The geometric feature quantity is the radius r2 of the squeeze circle, and its calculation formula is as follows: .

3. The method for calculating the theoretical flow rate of a peristaltic pump according to claim 2, characterized in that, The integral formula for calculating the squeezed volume V2 through the integral operation is constructed based on the squeezed circle radius r2, the inner diameter of the hose d, and the center distance g between the hose and the roller.

4. The method for calculating the theoretical flow rate of a peristaltic pump according to claim 3, characterized in that, The formula for calculating the center distance g is as follows: , where R C The radius of the hose centerline. .

5. The method for calculating the theoretical flow rate of a peristaltic pump according to claim 3 or 4, characterized in that, The integral formula for calculating the squeezed volume V2 is as follows: .

6. The method for calculating the theoretical flow rate of a peristaltic pump according to claim 1, characterized in that, The formula for calculating the theoretical volume V1 is as follows: ,in .

7. The method for calculating the theoretical flow rate of a peristaltic pump according to claim 1, characterized in that, The error between the theoretical flow rate and the actual flow rate obtained by the method is within 5%.

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