CN111852879A - Gas-liquid two-phase vane pump and design method and device thereof - Google Patents
Gas-liquid two-phase vane pump and design method and device thereof Download PDFInfo
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- CN111852879A CN111852879A CN202010721177.6A CN202010721177A CN111852879A CN 111852879 A CN111852879 A CN 111852879A CN 202010721177 A CN202010721177 A CN 202010721177A CN 111852879 A CN111852879 A CN 111852879A
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04D—NON-POSITIVE-DISPLACEMENT PUMPS
- F04D3/00—Axial-flow pumps
- F04D3/02—Axial-flow pumps of screw type
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04D—NON-POSITIVE-DISPLACEMENT PUMPS
- F04D29/00—Details, component parts, or accessories
- F04D29/18—Rotors
- F04D29/181—Axial flow rotors
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04D—NON-POSITIVE-DISPLACEMENT PUMPS
- F04D31/00—Pumping liquids and elastic fluids at the same time
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Abstract
The invention discloses a gas-liquid two-phase vane pump and a design method and a device thereof, wherein the design method comprises the following steps: the impeller of the gas-liquid two-phase vane pump comprises: a hub and a blade; the blade has a first end and a second end in the direction of extension, the first end connecting the inlet angle and the second end connecting the outlet angle. The inlet and outlet angles of the blades are determined by a two-phase design method based on air void fraction prediction. The profile of the blade is determined by the distribution rule of the intermediate mounting angles. Therefore, the impeller of the gas-liquid two-phase vane pump can effectively reduce the loss caused by gas-liquid two-phase interaction under a two-phase working condition, and the lift and the efficiency of the pump are improved.
Description
Technical Field
The invention relates to the technical field of vane pumps, in particular to a gas-liquid two-phase vane pump and a design method and a device thereof.
Background
In recent years, with the demand of industries such as petroleum, food, chemical industry and the like for transportation equipment being improved, the vane pump is more and more widely applied to the two-phase mixed transportation industry. The two-phase transportation by adopting the vane pump can reduce the application and pipeline laying of the separation device, and has the advantages of economy, environmental protection and high efficiency.
At present, when the vane pump is applied under a two-phase working condition, the lift and the efficiency far cannot meet the design requirements, and the main reason is that the design method of the vane pump is always the design method of a clean water pump. Though the performance of the vane pump under the two-phase working condition can be improved through various optimization algorithms, a large amount of resources are consumed, theoretical support is lacked, and the promotion cannot be performed.
The traditional design method of the impeller blade of the gas-liquid two-phase impeller pump generally adopts the design experience and the design formula of the clean water pump. The design method can realize the working characteristics of the blade under the single-phase working condition, but when the actual gas-liquid two-phase mixed transportation is applied, the strong interaction of the gas phase and the liquid phase caused by the gas content at the inlet brings great requirements on the performance of the gas-liquid two-phase blade pump, and the pump designed by the traditional method can not meet the requirements on the operating lift and the efficiency under the gas-containing working condition.
Disclosure of Invention
The present invention is directed to solving, at least to some extent, one of the technical problems in the related art.
Therefore, an object of the present invention is to provide a gas-liquid two-phase vane pump, an impeller of which can effectively reduce the loss caused by the interaction of gas and liquid phases under two-phase working conditions, and improve the lift and efficiency of the pump.
The invention also aims to provide a gas-liquid two-phase blade design method based on gas fraction prediction, which can be used for rapidly designing blades of a gas-liquid two-phase blade pump and effectively improving the lift and efficiency of the gas-liquid two-phase blade pump under a two-phase working condition.
Still another object of the present invention is to provide a gas-liquid two-phase blade design device based on gas void prediction.
In order to achieve the above object, an embodiment of an aspect of the present invention provides a gas-liquid two-phase vane pump, including:
the impeller of the gas-liquid two-phase vane pump comprises: a hub and a blade;
the blades are arranged on the peripheral surface of the hub and extend spirally along the axial direction of the hub;
the blade is provided with a first end and a second end in the extending direction of the blade, an inlet angle is formed between a tangent line of an axial surface streamline of the first end of the blade and a plane perpendicular to the axis of the hub, an inlet angle is formed between a tangent line of the axial surface streamline of the second end of the blade and a plane perpendicular to the axis of the hub, and the inlet angle and the outlet angle are determined through a two-phase design method based on air void ratio prediction;
the blade comprises a hub side connected with the hub and a rim side far away from the hub;
a mounting angle formed between a tangent line of an axial surface streamline of the blade and a plane perpendicular to the hub side axis is a blade hub side mounting angle, and a mounting angle formed between a tangent line of the axial surface streamline of the blade and a plane perpendicular to the rim side axis is a blade rim side mounting angle; the distribution rule of the blade hub side installation angle and the blade rim side installation angle along the relative axial surface streamline is determined by iteration.
In order to achieve the above object, an embodiment of the present invention provides a gas-liquid two-phase blade design method based on gas fraction prediction, including:
s1, obtaining an initial blade placement angle distribution rule by a single-phase design method according to the given design flow, lift and rotating speed of the gas-liquid two-phase blade pump impeller;
s2, forecasting the distribution rule of the gas content in the impeller along the length of the axial surface streamline according to the distribution rule of the placement angles of the blades and the inlet gas content of the given gas-liquid two-phase blade pump impeller by using a gas content distribution forecasting model;
s3, solving the gas phase velocity and the liquid phase velocity in the impeller according to the gas content distribution rule along the axial surface streamline length, and analyzing the influence of the gas content distribution rule on a gas-liquid two-phase velocity field;
s4, according to the gas phase speed and the liquid phase speed, and based on an equivalent lift prediction model of speed slippage, predicting the equivalent lift under two-phase working conditions;
s5, judging whether the predicted equivalent lift under the two-phase working condition meets the requirement of a design lift, and if so, determining the distribution rules of the inlet placement angle, the outlet placement angle and the middle placement angle of the blade meeting the design requirement; if not, changing the distribution rule of the installation angles of the blades, and returning to S2 for iteration until the requirement of the design lift is met.
In order to achieve the above object, an embodiment of another aspect of the present invention provides a gas-liquid two-phase blade design apparatus based on gas fraction prediction, including:
the initialization module is used for obtaining an initial placing angle distribution rule of the blades by a single-phase design method according to the design flow, the lift and the rotating speed of a given gas-liquid two-phase blade pump impeller;
the first prediction module is used for predicting the distribution rule of the gas content in the impeller along the length of the axial surface streamline according to the distribution rule of the placement angles of the blades and the gas content at the inlet of the given gas-liquid two-phase blade pump impeller by using a gas content distribution prediction model;
the calculation module is used for solving the gas phase speed and the liquid phase speed in the impeller according to the gas content distribution rule along the axial surface streamline length, and analyzing the influence of the gas content distribution rule on a gas-liquid two-phase speed field;
the second prediction module predicts the equivalent lift under the two-phase working condition according to the gas phase speed and the liquid phase speed and based on an equivalent lift prediction model of speed slippage;
the iteration module is used for judging whether the predicted equivalent lift under the two-phase working condition meets the requirement of the design lift or not, and if so, determining the distribution rules of the inlet mounting angles, the outlet mounting angles and the middle mounting angles of the blades meeting the design requirement; and if the design lift does not meet the requirement, changing the distribution rule of the installation angles of the blades, and executing the first prediction module until the design lift requirement is met.
The gas-liquid two-phase vane pump and the design method and device thereof have the beneficial effects that: the design of the impeller blade of the gas-liquid two-phase vane pump can be rapidly finished, and the lift and the efficiency of the gas-liquid two-phase vane pump operating under the two-phase working condition are effectively improved.
Additional aspects and advantages of the invention will be set forth in part in the description which follows and, in part, will be obvious from the description, or may be learned by practice of the invention.
Drawings
The foregoing and/or additional aspects and advantages of the present invention will become apparent and readily appreciated from the following description of the embodiments, taken in conjunction with the accompanying drawings of which:
fig. 1 is a schematic perspective view of an impeller of a gas-liquid two-phase vane pump according to an embodiment of the present invention;
FIG. 2 is a flow chart of a gas-liquid two-phase blade design method based on gas void fraction prediction according to an embodiment of the invention;
FIG. 3 is a schematic view of a blade pitch distribution rule of a hub side and a rim side of a model along the length of a shaft surface streamline according to a conventional design method in accordance with an embodiment of the invention;
fig. 4 is a schematic diagram of a distribution rule of blade placement angles along axial surface streamline lengths on a hub side and a rim side of an optimized design model of a gas-liquid two-phase vane pump impeller according to an embodiment of the invention;
fig. 5 is a schematic structural diagram of a gas-liquid two-phase blade design device based on gas void fraction prediction according to an embodiment of the invention.
Reference numerals: impeller-100, hub-10, blades-20, first end-21, second end-22, hub side-23, rim side-24, and placement angle-beta0Angle of repose-beta1。
Detailed Description
Reference will now be made in detail to embodiments of the present invention, examples of which are illustrated in the accompanying drawings, wherein like or similar reference numerals refer to the same or similar elements or elements having the same or similar function throughout. The embodiments described below with reference to the drawings are illustrative and intended to be illustrative of the invention and are not to be construed as limiting the invention.
A gas-liquid two-phase vane pump, a design method thereof, and an apparatus thereof according to an embodiment of the present invention will be described below with reference to the accompanying drawings.
First, a gas-liquid two-phase vane pump proposed according to an embodiment of the present invention will be described with reference to the accompanying drawings.
Fig. 1 is a schematic perspective view of an impeller of a gas-liquid two-phase vane pump according to an embodiment of the present invention.
As shown in fig. 1, an impeller 100 of a gas-liquid two-phase vane pump includes: hub 10 and blades 20;
the blades 20 are provided on the outer circumferential surface of the hub 10, and extend spirally in the axial direction of the hub 10;
the blade 20 has a first end 21 and a second end 22 in the extending direction, an inlet angle is formed between the tangent of the axial surface streamline of the first end of the blade 20 and a plane perpendicular to the hub axis, an inlet angle is formed between the tangent of the axial surface streamline of the second end of the blade and the plane perpendicular to the hub axis, and the inlet angle and the outlet angle are determined by a two-phase design method based on air void ratio prediction;
the blade 20 comprises a hub side 23 connected to the hub, and a rim side 24 remote from the hub;
a mounting angle formed between a tangent line of an axial surface streamline of the blade and a plane perpendicular to the hub-side axis is a blade hub-side mounting angle, and a mounting angle formed between a tangent line of an axial surface streamline of the blade and a plane perpendicular to the rim-side axis is a blade rim-side mounting angle; wherein, beta0Angle of repose, beta, of axial surface streamline at first end 211Is the angle of repose of the axial surface flow line at the second end 22. The distribution rule of the blade hub side placing angle and the blade rim side placing angle along the relative axial surface streamline is determined by iteration.
According to the gas-liquid two-phase vane pump provided by the embodiment of the invention, the design of the impeller blade of the gas-liquid two-phase vane pump can be rapidly completed, and the lift and the efficiency of the gas-liquid two-phase vane pump in the operation under the two-phase working condition are effectively improved.
Next, a gas-liquid two-phase blade design method based on gas void fraction prediction according to an embodiment of the present invention will be described with reference to the drawings.
FIG. 2 is a flow chart of a gas-liquid two-phase blade design method based on gas void fraction prediction according to an embodiment of the invention.
As shown in fig. 2, the gas-liquid two-phase blade design method based on gas void fraction prediction includes the following steps:
and S1, obtaining an initial blade placement angle distribution rule by using a single-phase design method according to the design flow, the lift and the rotating speed of the given gas-liquid two-phase blade pump impeller.
First, given the design flow, lift and speed, the initial pitch distribution of the blades 20 obtained by the conventional single-phase design method is shown in fig. 3.
And S2, predicting the distribution rule of the gas content in the impeller along the length of the axial surface streamline by using a gas content distribution prediction model according to the distribution rule of the installation angles of the blades and the inlet gas content of the given gas-liquid two-phase blade pump impeller.
In the embodiment of the invention, the gas content at the inlet of the gas-liquid two-phase vane pump impeller 100 is given, and according to the distribution rule of the placement angles of the vanes and the gas content at the inlet of the gas-liquid two-phase vane pump impeller, the following gas content distribution prediction model is used for predicting the distribution rule of the gas content in the impeller 100 along the length of the axial surface streamline:
wherein α(s) represents a gas fraction distribution in the impeller, s is a streamline length, ρ represents a density,
denotes the inlet mass flow rate, subscripts "l" and "g" denote liquid and gas, respectively, A is the cross-sectional area of the flow channel, β is the blade placement angle, r is the radius of the impeller, CdIs a coefficient of resistance, rgIs the bubble radius.
And S3, solving the gas phase velocity and the liquid phase velocity in the impeller according to the distribution rule of the gas content along the axial surface streamline length, and analyzing the influence of the gas content distribution rule on the gas-liquid two-phase velocity field.
Solving the gas phase velocity in the impeller by utilizing the distribution rule of gas content along the length of axial surface streamline
And velocity of liquid phase
And analyzing the influence of the gas-liquid two-phase velocity field on the gas content distribution rule.
And S4, predicting the equivalent lift under the two-phase working condition according to the gas phase speed and the liquid phase speed and based on the equivalent lift prediction model of the speed slip.
Calculating the equivalent lift considering the speed slip according to the gas-liquid two-phase speed field obtained by solving:
wherein, V is absolute velocity, u is circumferential velocity, W is relative velocity, subscripts "1" and "2" respectively represent an impeller inlet and an impeller outlet, x is inlet gas phase mass fraction, and g is gravitational acceleration.
S5, judging whether the predicted equivalent lift under the two-phase working condition meets the requirement of the design lift, and if so, determining the distribution rules of the inlet placement angle, the outlet placement angle and the middle placement angle of the blade meeting the design requirement; if not, changing the distribution rule of the installation angles of the blades, and returning to S2 for iteration until the requirement of the design lift is met.
In the embodiment of the present invention, if the equivalent lift calculated by the above formula does not satisfy the design lift requirement, the distribution rule of the placement angles of the impeller 100 is changed and iterative calculation is performed, and finally, the distribution rule of the placement angles of the blades satisfying the design lift requirement is obtained as shown in fig. 4.
Compared with the traditional design method, the impeller hydraulic performance of the gas-liquid two-phase vane pump designed by the design method is improved. Compared with the original gas-liquid two-phase vane pump, the nominal lift of the impeller designed by the two-phase method is increased by 15.74 percent relative to the original pump; the outlet section is monitored to obtain that the pressure rise of the whole compression stage is improved by 10.06 percent; the efficiency of the whole compression stage is improved by 2.2 percentage points, and the feasibility and the superiority of the blade two-phase working condition design method based on the gas fraction prediction can be proved.
The gas-liquid two-phase blade design method based on gas fraction prediction is a gas-liquid two-phase blade pump impeller design method derived from a theoretical level, and is an important way for effectively improving the operation performance of a gas-liquid two-phase blade pump under a two-phase working condition. The designed gas-liquid two-phase vane pump can quickly complete the design of the impeller vanes of the gas-liquid two-phase vane pump, and effectively improves the lift and efficiency of the gas-liquid two-phase vane pump in operation under two-phase working conditions.
The gas-liquid two-phase blade design device based on the gas void fraction prediction proposed according to the embodiment of the invention is described with reference to the accompanying drawings.
FIG. 5 is a schematic structural diagram of a gas-liquid two-phase blade design device based on gas void fraction prediction according to an embodiment of the invention.
As shown in fig. 5, the gas-liquid two-phase blade design device based on the gas void fraction prediction includes: an initialization module 100, a first prediction module 200, a calculation module 300, a second prediction module 400, and an iteration module 500.
The initialization module 100 is configured to obtain an initial placement angle distribution rule of the blades by using a single-phase design method according to a given design flow, a given lift and a given rotation speed of the gas-liquid two-phase vane pump impeller.
The first prediction module 200 is used for predicting the distribution rule of the gas content in the impeller along the length of the axial surface streamline according to the distribution rule of the installation angles of the blades and the gas content at the inlet of the given gas-liquid two-phase blade pump impeller by using a gas content distribution prediction model.
And the calculating module 300 is used for solving the gas phase speed and the liquid phase speed in the impeller according to the distribution rule of the gas content along the length of the axial surface streamline, and analyzing the influence of the gas content distribution rule on the gas-liquid two-phase speed field.
The second prediction module 400 predicts the equivalent lift under the two-phase working condition according to the gas phase speed and the liquid phase speed and based on an equivalent lift prediction model of speed slippage.
The iteration module 500 judges whether the predicted equivalent lift under the two-phase working condition meets the requirement of the design lift, and if so, determines the distribution rules of the inlet placement angle, the outlet placement angle and the middle placement angle of the blades meeting the design requirement; if the design lift does not meet the requirement, changing the distribution rule of the installation angles of the blades, and executing the first prediction module until the design lift requirement is met.
Further, in one embodiment of the present invention, the gas void fraction distribution prediction model is:
wherein α(s) represents a gas fraction distribution in the impeller, s is a streamline length, ρ represents a density,
denotes the inlet mass flow rate, subscripts "l" and "g" denote liquid and gas, respectively, A is the cross-sectional area of the flow channel, β is the blade placement angle, r is the radius of the impeller, CdIs a coefficient of resistance, rgIs the bubble radius.
Further, in one embodiment of the present invention, the gas phase velocity is:
the liquid phase velocity is:
further, in an embodiment of the present invention, the equivalent lift under the two-phase working condition is:
wherein, V is absolute velocity, u is circumferential velocity, W is relative velocity, subscripts "1" and "2" respectively represent an impeller inlet and an impeller outlet, x is inlet gas phase mass fraction, and g is gravitational acceleration.
It should be noted that the foregoing explanation of the method embodiment is also applicable to the apparatus of this embodiment, and is not repeated herein.
The gas-liquid two-phase blade design device based on gas fraction prediction is a gas-liquid two-phase blade pump impeller design method derived from a theoretical level, and is an important way for effectively improving the operation performance of a gas-liquid two-phase blade pump under a two-phase working condition. The designed gas-liquid two-phase vane pump can quickly complete the design of the impeller vanes of the gas-liquid two-phase vane pump, and effectively improves the lift and efficiency of the gas-liquid two-phase vane pump in operation under two-phase working conditions.
Furthermore, the terms "first", "second" and "first" are used for descriptive purposes only and are not to be construed as indicating or implying relative importance or implicitly indicating the number of technical features indicated. Thus, a feature defined as "first" or "second" may explicitly or implicitly include at least one such feature. In the description of the present invention, "a plurality" means at least two, e.g., two, three, etc., unless specifically limited otherwise.
In the description herein, references to the description of the term "one embodiment," "some embodiments," "an example," "a specific example," or "some examples," etc., mean that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the invention. In this specification, the schematic representations of the terms used above are not necessarily intended to refer to the same embodiment or example. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples. Furthermore, various embodiments or examples and features of different embodiments or examples described in this specification can be combined and combined by one skilled in the art without contradiction.
Although embodiments of the present invention have been shown and described above, it is understood that the above embodiments are exemplary and should not be construed as limiting the present invention, and that variations, modifications, substitutions and alterations can be made to the above embodiments by those of ordinary skill in the art within the scope of the present invention.
Claims (9)
1. A gas-liquid two-phase vane pump, characterized in that an impeller of the gas-liquid two-phase vane pump comprises: a hub and a blade;
the blades are arranged on the peripheral surface of the hub and extend spirally along the axial direction of the hub;
the blade is provided with a first end and a second end in the extending direction of the blade, an inlet angle is formed between a tangent line of an axial surface streamline of the first end of the blade and a plane perpendicular to the axis of the hub, an inlet angle is formed between a tangent line of the axial surface streamline of the second end of the blade and a plane perpendicular to the axis of the hub, and the inlet angle and the outlet angle are determined through a two-phase design method based on air void ratio prediction;
the blade comprises a hub side connected with the hub and a rim side far away from the hub;
a mounting angle formed between a tangent line of an axial surface streamline of the blade and a plane perpendicular to the hub side axis is a blade hub side mounting angle, and a mounting angle formed between a tangent line of the axial surface streamline of the blade and a plane perpendicular to the rim side axis is a blade rim side mounting angle; the distribution rule of the blade hub side installation angle and the blade rim side installation angle along the relative axial surface streamline is determined by iteration.
2. A gas-liquid two-phase blade design method based on gas fraction prediction is characterized by comprising the following steps:
s1, obtaining an initial blade placement angle distribution rule by a single-phase design method according to the given design flow, lift and rotating speed of the gas-liquid two-phase blade pump impeller;
s2, forecasting the distribution rule of the gas content in the impeller along the length of the axial surface streamline according to the distribution rule of the placement angles of the blades and the inlet gas content of the given gas-liquid two-phase blade pump impeller by using a gas content distribution forecasting model;
s3, solving the gas phase velocity and the liquid phase velocity in the impeller according to the gas content distribution rule along the axial surface streamline length, and analyzing the influence of the gas content distribution rule on a gas-liquid two-phase velocity field;
s4, according to the gas phase speed and the liquid phase speed, and based on an equivalent lift prediction model of speed slippage, predicting the equivalent lift under two-phase working conditions;
s5, judging whether the predicted equivalent lift under the two-phase working condition meets the requirement of a design lift, and if so, determining the distribution rules of the inlet placement angle, the outlet placement angle and the middle placement angle of the blade meeting the design requirement; if not, changing the distribution rule of the installation angles of the blades, and returning to S2 for iteration until the requirement of the design lift is met.
3. The method of claim 2, wherein the gas void fraction distribution prediction model is:
wherein α(s) represents a gas fraction distribution in the impeller, s is a streamline length, ρ represents a density,
denotes the inlet mass flow rate, subscripts "l" and "g" denote liquid and gas, respectively, A is the cross-sectional area of the flow channel, β is the blade placement angle, r is the radius of the impeller, CdIs a coefficient of resistance, rgIs the bubble radius.
4. The method of claim 3,
the gas phase velocity is:
the liquid phase velocity is:
5. the method of claim 2, wherein the equivalent lift for the two-phase operating condition is:
wherein, V is absolute velocity, u is circumferential velocity, W is relative velocity, subscripts "1" and "2" respectively represent an impeller inlet and an impeller outlet, x is inlet gas phase mass fraction, and g is gravitational acceleration.
6. A gas-liquid two-phase blade design device based on gas void fraction prediction is characterized by comprising the following components:
the initialization module is used for obtaining an initial placing angle distribution rule of the blades by a single-phase design method according to the design flow, the lift and the rotating speed of a given gas-liquid two-phase blade pump impeller;
the first prediction module is used for predicting the distribution rule of the gas content in the impeller along the length of the axial surface streamline according to the distribution rule of the placement angles of the blades and the gas content at the inlet of the given gas-liquid two-phase blade pump impeller by using a gas content distribution prediction model;
the calculation module is used for solving the gas phase speed and the liquid phase speed in the impeller according to the gas content distribution rule along the axial surface streamline length, and analyzing the influence of the gas content distribution rule on a gas-liquid two-phase speed field;
the second prediction module predicts the equivalent lift under the two-phase working condition according to the gas phase speed and the liquid phase speed and based on an equivalent lift prediction model of speed slippage;
the iteration module is used for judging whether the predicted equivalent lift under the two-phase working condition meets the requirement of the design lift or not, and if so, determining the distribution rules of the inlet mounting angles, the outlet mounting angles and the middle mounting angles of the blades meeting the design requirement; and if the design lift does not meet the requirement, changing the distribution rule of the installation angles of the blades, and executing the first prediction module until the design lift requirement is met.
7. The apparatus of claim 6, wherein the gas void fraction distribution prediction model is:
wherein α(s) represents a gas fraction distribution in the impeller, s is a streamline length, ρ represents a density,
denotes the inlet mass flow rate, subscripts "l" and "g" denote liquid and gas, respectively, A is the cross-sectional area of the flow channel, β is the blade placement angle, r is the radius of the impeller, CdIs a coefficient of resistance, rgIs the bubble radius.
8. The apparatus of claim 6, wherein the gas phase velocity is:
the liquid phase velocity is:
9. the apparatus of claim 6, wherein the equivalent lift for the two-phase operating condition is:
wherein, V is absolute velocity, u is circumferential velocity, W is relative velocity, subscripts "1" and "2" respectively represent an impeller inlet and an impeller outlet, x is inlet gas phase mass fraction, and g is gravitational acceleration.
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| CN103982460A (en) * | 2014-04-25 | 2014-08-13 | 江苏江进泵业有限公司 | Hydraulic design method for gas-fluid two-phase mixture pump |
| CN104500438A (en) * | 2014-11-21 | 2015-04-08 | 江苏国泉泵业制造有限公司 | Hydraulic design method for two-phase flow pump |
| US20190017518A1 (en) * | 2017-07-12 | 2019-01-17 | Summit Esp, Llc | Fluid moving apparatus and system for an electric submersible gas separator |
| CN108005950A (en) * | 2018-01-30 | 2018-05-08 | 清华大学 | The impeller and its design method of vane-type oil-gas mixing pump |
| CN110608191A (en) * | 2019-09-19 | 2019-12-24 | 清华大学 | Blade design method based on Orson vortex and blade pump designed by blade design method |
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