KR102546458B1 - A method for designing an impeller and a volute provided in a small-capacity two-vane pump that satisfies low flow rate and high head and can transport solids, and a two-vane pump designed thereby - Google Patents

Abstract

The present invention relates to a small-capacity tubein pump impeller and volute design method capable of transporting solids while satisfying low flow rate and high head, and more particularly, to a small-capacity tubein pump for a 0.75kW class pump to have optimal head and efficiency. It is about the design method of The configuration of the present invention for achieving the above object is a method for designing a low flow tube vane pump, comprising: a) setting an objective function; b) setting design variables of an impeller for deriving the set objective function; c) setting dependent variables for the design variables; d) deriving a value of the objective function according to the value of the set design variable through numerical analysis; e) deriving a function formula for deriving a value of the objective function by using a value of the objective function according to the value of the derived design variable; and f) deriving a value of the design variable that satisfies the design objective function value as a design proposal using the derived function formula, characterized in that the head is designed to be 10 to 15 m when the flow rate is 0.2 CMM. Provides a design method for a small-capacity tubein pump.

Description

Small-capacity tubein pump impeller and volute design method that satisfies low flow rate and high lift and transports solids, and tubein pump designed thereby LOW FLOW RATE AND HIGH HEAD AND CAN TRANSPORT SOLIDS, AND A TWO-VANE PUMP DESIGNED THEREBY}

The present invention relates to a small-capacity tubein pump impeller and volute design method capable of transporting solids while satisfying low flow rate and high head, and more particularly, to a small-capacity tubein pump for a 0.75kW class pump to have optimal head and efficiency. It is about the design method of

In general, a wastewater pump is a pump for transporting sewage, wastewater sludge, and the like, and is widely used in various industrial fields.

Unlike general submersible pumps, these wastewater pumps have to move fluid containing foreign substances, so flow passage clogging often occurs. As such, the clogging of the flow path may reduce the performance of the wastewater pump, such as pump efficiency, or cause failure or damage of the wastewater pump. Therefore, it is important to design wastewater pumps so that clogging does not occur.

The vortex pump is designed to prevent clogging of the passage of a wastewater pump to which an impeller having a plurality of passages is applied, and the passage is secured by shortening the length of the impeller to prevent clogging of the passage. However, the vortex pump has a problem in that the pump efficiency is only about 30% compared to the existing wastewater pump as the length of the impeller is shortened.

The single-channel pump forms one flow path inside the impeller, and the flow path rotates along with the rotation of the impeller to transport wastewater. The single-channel pump prepared as described above has the advantage that the pump efficiency is more than twice as high as that of the vortex pump without clogging the passage. However, since the impeller of the single-channel pump is composed of an asymmetric structure unlike a general impeller, there is a problem that the distribution of the fluid force is not constant when the single-channel pump is operated, resulting in large vibration. In particular, to increase pump efficiency There is a problem that it is difficult to apply to the field because the vibration increases more and more as time goes by.

The tube vane pump has two impellers in a symmetrical structure, so it has a low vibration and a wide flow path, so it has the advantage of passing solids well compared to general vortex pumps.

However, conventionally, there is no technology for designing the structure of an impeller to have a target efficiency at a desired head, so there is a problem in that a lot of trial and error is required to manufacture the desired specifications.

Korean Patent Registration No. 10-1647394

An object of the present invention to solve the above problems is to provide a design method of a small capacity tube vane pump so that a 0.75kW class pump has an optimal head and efficiency.

The technical problem to be achieved by the present invention is not limited to the above-mentioned technical problem, and other technical problems not mentioned can be clearly understood by those skilled in the art from the description below. There will be.

The configuration of the present invention for achieving the above object is a method for designing a small capacity tubane pump, comprising: a) setting an objective function; b) setting design variables of an impeller for deriving the set objective function; c) setting dependent variables for the design variables; d) deriving a value of the objective function according to the value of the set design variable through numerical analysis; e) deriving a function formula for deriving a value of the objective function by using a value of the objective function according to the value of the derived design variable; and f) deriving a value of the design variable that satisfies the design objective function value as a design proposal using the derived function formula, characterized in that the head is designed to be 10 to 15 m when the flow rate is 0.2 CMM. Provides a design method for a small-capacity tubein pump.

In an embodiment of the present invention, in step a), the objective function may be head and efficiency.

In an embodiment of the present invention, in step b), the design variables may be an impeller outer diameter and an impeller outlet width.

In an embodiment of the present invention, in step c), the dependent variables may be an impeller inner diameter, an impeller inlet width, and a volute cross-sectional area distribution.

In an embodiment of the present invention, in step c), the dependent variable may be prepared to change at the same rate as the impeller outlet width.

In an embodiment of the present invention, the cross-sectional area distribution of the volute may be characterized in that it is designed so that the cross-sectional area gradually increases from the inlet side to the outlet side.

In an embodiment of the present invention, the step d) may be characterized in that the value of the objective function according to the change in the design variable is represented by an overlaid contour plot.

In an embodiment of the present invention, the step e) may include: e1) deriving a graph of a change in the objective function according to the value of each design variable within the overlapping area range of the overlapping contour map; and e2) deriving a function formula for deriving a value of the objective function through regression analysis on the derived graph.

(여기서,

은 임펠러 외경,

는 임펠러 출구폭,

는 양정)인 것을 특징으로 할 수 있다.In an embodiment of the present invention, in step e), the function formula for deriving the head is,

(here,

Silver impeller outer diameter,

is the impeller outlet width,

is positive).

(여기서,

은 임펠러 외경,

는 임펠러 출구폭,

는 효율)인 것을 특징으로 할 수 있다.In an embodiment of the present invention, in step e), the function expression for deriving the efficiency is,

(here,

Silver impeller outer diameter,

is the impeller outlet width,

is the efficiency).

The configuration of the present invention for achieving the above object provides a small capacity tubein pump impeller capable of transporting solids while satisfying low flow rate and high lift, and a small capacity tubein pump manufactured by a volute design method.

The effect of the present invention according to the configuration as described above is that a small-capacity tube pump having a desired target specification can be conveniently designed using a design plan derived according to an optimal design method.

In particular, it is possible to design a small-capacity tube vane pump having maximum efficiency at a target head.

The effects of the present invention are not limited to the above effects, and should be understood to include all effects that can be inferred from the detailed description of the present invention or the configuration of the invention described in the claims.

1 is a flowchart of a method for designing a small capacity tube vane pump according to an embodiment of the present invention.
2 is a perspective view of a small capacity tube vane pump according to an embodiment of the present invention.
Figure 3 is a graph showing head and efficiency according to the flow rate according to an embodiment of the present invention.
4 is an exemplary view showing design variables and dependent variables of an impeller of a small capacity tube vane pump according to an embodiment of the present invention.
5 is an exemplary view showing the volute cross-sectional area distribution of a small-capacity tubein pump according to an embodiment of the present invention.
6 is an exemplary view showing dependent variables for volute cross-sectional area distribution of a small-capacity tubein pump according to an embodiment of the present invention.
7 is a flowchart of a step of deriving a function expression according to an embodiment of the present invention.
8 is a graph showing an overlapping contour plot according to an embodiment of the present invention.
9 is a graph of changes in the objective function according to values of design variables according to an embodiment of the present invention.
10 is an exemplary view of a small capacity tube vane pump designed according to a design plan according to an embodiment of the present invention.
11 is a graph showing head and efficiency according to the flow rate of a small capacity tube vane pump designed according to a design plan according to an embodiment of the present invention.
12 is a table showing head and efficiency according to the flow rate of a small capacity tube vane pump designed according to a design plan according to an embodiment of the present invention.

Hereinafter, the present invention will be described with reference to the accompanying drawings. However, the present invention may be embodied in many different forms and, therefore, is not limited to the embodiments described herein. And in order to clearly explain the present invention in the drawings, parts irrelevant to the description are omitted, and similar reference numerals are attached to similar parts throughout the specification.

Throughout the specification, when a part is said to be "connected (connected, contacted, combined)" with another part, this is not only "directly connected", but also "indirectly connected" with another member in between. "Including cases where In addition, when a part "includes" a certain component, it means that it may further include other components without excluding other components unless otherwise stated.

Terms used in this specification are only used to describe specific embodiments, and are not intended to limit the present invention. Singular expressions include plural expressions unless the context clearly dictates otherwise. In this specification, terms such as "include" or "have" are intended to indicate that there is a feature, number, step, operation, component, part, or combination thereof described in the specification, but one or more other features It should be understood that the presence or addition of numbers, steps, operations, components, parts, or combinations thereof is not precluded.

Hereinafter, embodiments of the present invention will be described in detail with reference to the accompanying drawings.

1 is a flowchart of a method for designing a small-capacity tubein pump according to an embodiment of the present invention, and FIG. 2 is a perspective view of a small-capacity tubein pump according to an embodiment of the present invention.

Before explaining the design method of the small-capacity tubein pump according to an embodiment of the present invention disclosed in FIG. 1, first, the basic shape of the wastewater tubene pump will be described with reference to FIG. 2.

The small capacity tube vane pump 100 of the present invention includes a pair of impellers 110 and a volute 120.

Here, the pair of impellers 110 are provided symmetrically with each other, and may be provided extending in a streamlined shape from the pump inlet to the outside.

More specifically, the pair of impellers 110 extend outward from the volute 120 while drawing a streamlined curve from the inlet. At this time, the impeller 110 may be formed to extend so as to form a curve so that the inlet-side surface is concave.

The volute 120 includes a hub and a shroud, and may be provided to form a casing accommodating the impeller 110 therein.

In addition, the volute 120 is formed such that its cross-sectional area gradually increases from the inlet side toward the outlet side.

In the present invention, the small-capacity tubane pump 100 is designed to have an output of 0.75 kW.

In the method for designing an impeller for a small-capacity tube-vein pump according to an embodiment of the present invention prepared as described above, a step (S10) of setting an objective function may be performed.

In the step of setting an objective function (S10), the objective function relates to a target specification, and in the present invention, head and efficiency are set as the objective function.

Figure 3 is a graph showing head and efficiency according to the flow rate according to an embodiment of the present invention.

Referring to FIG. 3, the small-capacity tubein pump 100 does not have the same graph of lift and efficiency according to the flow rate.

Specifically, looking at the head graph according to the flow rate, the head decreases as the flow rate increases.

And, looking at the efficiency graph according to the flow rate, it has a two-dimensional curve in which the efficiency increases as the flow rate increases and then decreases at a certain point.

Therefore, it is necessary to design the pump to have a target head within the output of the pump and to achieve maximum efficiency at the same time.

Therefore, the present invention set the head and efficiency as the objective function.

In particular, the present invention sets the objective function so that the head is at least 10 to 15 m when the flow rate is 0.2 CMM. However, the upper limit of the head is not limited thereto and includes all cases of 10 m or more.

After the step of setting the objective function (S10), the step of setting the design variables of the impeller and volute for deriving the set objective function (S20) may be performed.

In the step of setting design variables of the impeller and volute for deriving the set objective function (S20), the design variables may be made of design variables set for the impeller 110.

4 is an exemplary view showing design variables and dependent variables of an impeller of a small capacity tube vane pump according to an embodiment of the present invention.

4, in the step (S20) of setting the design variables of the impeller and volute for deriving the set objective function, the design variables are the impeller outer diameter (D2) and the impeller outlet width (B2), characterized in that can do.

Here, the impeller outer diameter (D2) means the length from the rotation axis point of the impeller 110 to the outermost point of the impeller 110.

The impeller outlet width B2 means the width of the outermost portion of the impeller 110 .

As shown in FIG. 4 , the impeller 110 extends in a streamlined shape from the center of the small-capacity tube vane pump 100 to the outside, and the width decreases toward the outside.

Accordingly, the impeller outlet width B2 has the smallest value among widths of the impeller 110 in the longitudinal direction.

After the step of setting the design variables of the impeller for deriving the set objective function (S20), the step of setting the dependent variables for the design variables (S30) may be performed.

5 is an exemplary diagram showing the volute cross-sectional area distribution of a small capacity tubene pump according to an embodiment of the present invention, and FIG. 6 is a dependent variable for the volute cross-sectional area distribution of the small capacity tubene pump according to an embodiment of the present invention. It is an example diagram showing.

5 and 6, in the step of setting dependent variables for design variables (S30), the dependent variables may include impeller inner diameter (D1), impeller inlet width (B1), and volute cross-sectional area distribution. there is.

The impeller inner diameter D1 means the shortest distance from the point of the rotation axis of the impeller 110 to the impeller 110 .

The impeller inlet width B1 means the width of the innermost part of the impeller 110 . That is, the impeller inlet width B1 means the width of one end of the impeller 110, and the impeller outlet width B2 means the width of the other end of the impeller 110.

As shown in FIG. 5, the volute cross-sectional area distribution is formed so that the cross-sectional area gradually increases as the fluid flows from the inlet side toward the outlet side.

In addition, values of the dependent variable may be prepared to change at the same rate as the impeller outlet width B2.

For example, when the value of the impeller outlet width B2 decreases by 10%, the impeller inner diameter D1, the impeller inlet width B1, and the volute cross-sectional area distribution may also decrease by 10%.

That is, the dependent variables may be provided so that the design values are automatically changed according to the values of the design variables being determined.

In addition, in the present invention, the volute cross-sectional area distribution is changed according to the impeller outlet width B2 and reflected in the design, so that the optimal design can be made in consideration of the interaction between the impeller 110 and the volute 120 there is.

After the step of setting the dependent variable for the design variable (S30), the step of deriving the value of the objective function according to the value of the set design variable through numerical analysis (S40) may be performed.

In the step of deriving the value of the objective function according to the value of the set design variable through numerical analysis (S40), while changing the impeller outer diameter (D2) and the impeller outlet width (B2), which are the design variables, Arrangements may be made to measure or derive the value of the objective function.

For example, it may be prepared to virtually design the derived shapes of the impeller 110 and the volute 120 by changing the values of the design variables according to the response surface technique, and derive the objective function value at this time.

After the step of deriving the value of the objective function according to the value of the set design variable through numerical analysis (S40), a function formula for deriving the value of the objective function using the value of the objective function according to the value of the derived design variable The deriving step (S50) may be performed.

7 is a flow chart of a step of deriving a function expression according to an embodiment of the present invention, and FIG. 8 is a graph showing an overlapping contour diagram according to an embodiment of the present invention.

7 and 8, in the step of deriving a function formula for deriving the value of the objective function using the value of the objective function according to the value of the derived design variable (S50), first, the overlapping area in the overlapping contour map It may be provided to perform the step (S51) of deriving a graph for the change of the objective function according to the value of each design variable within the range.

In the step (S51) of deriving a graph of the change in the objective function according to the value of each design variable within the range of the overlapping area in the overlapping contour map, the impeller outer diameter (D2) and the impeller outlet width ( It may be prepared to represent the values of the objective function according to B2) in an Overlaid Contour Plot as shown in FIG. 8 .

After the step of deriving a graph of the change in the objective function according to the value of each design variable within the range of overlapping areas in the overlapping contour map (S51), the value of the objective function is derived through regression analysis on the derived graph. A step (S52) of deriving a function formula for the above may be performed.

In the step of deriving a function formula for deriving the value of the objective function through regression analysis on the derived graph (S52), first, an area (A) in which head and efficiency according to design variables overlap is derived from the overlapping contour map. can do.

9 is a graph of changes in the objective function according to values of design variables according to an embodiment of the present invention.

Next, as shown in FIG. 9, a graph showing the change in the value of the objective function according to the value of each design variable is derived for the area (A) where the head and efficiency according to the design variable overlap in the overlapping contour map. can do.

In addition, it may be provided to derive a function formula for deriving the value of the objective function by using the design variable as a variable through regression analysis in the graph showing the change in the value of the objective function according to the value of each derived design variable.

Specifically, the function formula for deriving the head is as follows.

은 임펠러 외경,

는 임펠러 출구폭,

는 양정을 의미한다.In Equation 1 above,

Silver impeller outer diameter,

is the impeller outlet width,

means positive.

Specifically, the function formula for deriving the efficiency is as follows.

은 임펠러 외경,

는 임펠러 출구폭,

는 효율을 의미한다.In Equation 2 above,

Silver impeller outer diameter,

is the impeller outlet width,

means efficiency.

After the step of deriving a function formula for deriving the value of the objective function using the value of the objective function according to the value of the derived design variable (S50), the design variable that satisfies the design objective function value using the derived function formula A step of deriving a value as a design proposal (S60) may be performed.

In the step (S60) of deriving the value of the design variable that satisfies the design objective function value as a design proposal using the derived function formula, Equation 1 and Equation 2 are used to design the variable that satisfies the target design objective function value. It may be provided to derive the dependent variable that changes according to the design variable and the design of the impeller 110 and the volute 120.

10 is an exemplary view of a small capacity tube vane pump designed according to a design plan according to an embodiment of the present invention.

Referring to FIG. 10, the design proposal of the small-capacity two-vein pump 100 having an output of 0.75 kW derived according to the present invention is optimally designed so that the head is 10 to 15 m when the flow rate is 0.2 CMM.

Specifically, when the diameter of the volute 120 is 235 mm, the diameter of the outlet of the volute 120 is 50 mm, and the straight line distance from the rotation axis of the impeller 110 to the outlet of the volute 120 is 1700 mm, the small capacity two-vein pump (100 ) The outer diameter of the impeller (D2) is 50 to 85 mm, and the impeller outlet width (B2) can be designed to be 20 to 37.30 mm. And more preferably, the impeller outer diameter (D2) of the small capacity tube vane pump 100 is 80mm, and the impeller outlet width (B2) can be designed to be 20mm.

11 is a graph showing the lift and efficiency according to the flow rate of a small-capacity two-vein pump designed according to the design proposal according to an embodiment of the present invention, and FIG. 12 is a small-capacity two-vein pump designed according to the design proposal according to an embodiment of the present invention. This is a table showing the head and efficiency according to the flow rate of

Referring to FIGS. 11 and 12 , it can be confirmed that the head of the small-capacity tube pump 100 having an output of 0.75 kW designed as described above exceeds the required head of 10 m when the flow rate is 0.2 CMM.

In addition, it can be seen that the small capacity tubane pump 100 of the present invention has an efficiency exceeding 60% and satisfies the KS standard when the flow rate is 0.18 ~ 0.36CMM.

As such, the small-capacity tubein pump 100 designed according to the present invention meets the required head of 10M at a low flow rate of 0.75kW and 0.2CMM, and at the same time can exceed the KS standard efficiency standard.

As such, the optimally designed present invention can achieve a target head at the same output and at the same time be designed with higher efficiency than the conventional two-vein pump.

That is, according to the present invention, a tube pump having a desired target specification can be conveniently designed using a design plan derived according to an optimal design method.

The design method of the small-capacity tube vane pump of the present invention prepared as described above may be prepared to be automatically performed by a design program. That is, when a desired specification is input, an optimal design variable value may be derived by inputting each target objective function value in the basic input shape in order to reach the desired specification.

For example, the design program includes a setting unit for setting an objective function, design variables, and dependent variables, an operation unit for performing numerical analysis, a math unit for deriving a function formula, and a design unit for deriving a design plan, sequentially performing each step. It can be arranged to carry out.

The above description of the present invention is for illustrative purposes, and those skilled in the art can understand that it can be easily modified into other specific forms without changing the technical spirit or essential features of the present invention. will be. Therefore, the embodiments described above should be understood as illustrative in all respects and not limiting. For example, each component described as a single type may be implemented in a distributed manner, and similarly, components described as distributed may be implemented in a combined form.

The scope of the present invention is indicated by the following claims, and all changes or modifications derived from the meaning and scope of the claims and equivalent concepts should be interpreted as being included in the scope of the present invention.

100: small capacity tubane pump
110: impeller
120: volute

Claims (11)

In the design method of the small capacity tubane pump impeller and volute,
a) setting an objective function;
b) setting design variables of an impeller for deriving the set objective function;
c) setting dependent variables for the design variables;
d) deriving a value of the objective function according to the value of the set design variable through numerical analysis;
e) deriving a function formula for deriving a value of the objective function by using a value of the objective function according to the value of the derived design variable; and
f) deriving a value of the design variable that satisfies a design objective function value as a design proposal using the derived function expression,
When the flow rate is 0.2 CMM, the head is designed to be 10 to 15 m,
In step b), the design variables are the impeller outer diameter and the impeller outlet width,
In the step c), the dependent variables are the impeller inner diameter, the impeller inlet width, and the volute cross-sectional area distribution, which satisfies the low flow rate and high head and is capable of transporting solids. Small capacity tubane pump impeller and volute design method.
According to claim 1,
In step a),
The objective function is,
A method for designing a small-capacity tube vane pump impeller and volute capable of transporting solids, satisfying low flow and high head, characterized by lift and efficiency.
delete delete According to claim 1,
In step c),
The dependent variable is a small-capacity tube vane pump impeller and volute design method that satisfies low flow rate and high head and is capable of transporting solids, characterized in that provided to change at the same rate as the impeller outlet width.
According to claim 5,
The volute cross-sectional area distribution is,
A method of designing a small-capacity tube vane pump impeller and volute capable of transporting solids while satisfying low flow and high head, characterized in that the cross-sectional area is gradually increased from the inlet side to the outlet side.
According to claim 2,
In step d),
Characterized in that the value of the objective function according to the change of the design variable is represented by an overlaid contour plot (Overlaid Contour Plot) Small capacity tubane pump impeller and volute design method that satisfies low flow rate and high head and is capable of transporting solids.
According to claim 7,
In step e),
e1) deriving a graph of a change in the objective function according to the value of each design variable within the range of the overlapping area in the overlapping contour map; and
e2) deriving a function formula for deriving the value of the objective function through a regression analysis on the derived graph; Volute design method.
According to claim 8,
In step e),
The function formula for deriving the head is,

(here,

Silver impeller outer diameter,

is the impeller outlet width,

is the lift)
A small-capacity tubane pump impeller and volute design method that satisfies low flow rate and high head and is capable of transporting solids, characterized in that.
According to claim 8,
In step e),
The function formula for deriving the efficiency is,

(here,

Silver impeller outer diameter,

is the impeller outlet width,

is the efficiency)
A small-capacity tubane pump impeller and volute design method that satisfies low flow rate and high head and is capable of transporting solids, characterized in that.
A small-capacity tubein pump impeller capable of transporting solids and satisfying the low flow rate and high head according to claim 1 and a tubein pump manufactured by the volute design method.

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