CN105402162A - Hydraulic design method of torispherical pump body for nuclear main pump - Google Patents

Abstract

The invention relates to a hydraulic design method of a torispherical pump body for a nuclear main pump. The hydraulic design method provides design formulas for main geometric parameters of a pump body, comprising an estimated base circle diameter D4 of the pump body, a base circle diameter D5 of the pump body, an inlet width b5 of the pump body, an estimated area F3 of a discharge section of the pump body, an area F of a flow section of the pump body, an average velocity v of the flow section of the pump body, an estimated maximum outer diameter D8 of the pump body, a maximum outer diameter D9 of the pump body, a width L2 of the section of the pump body, an inflow position L3 of the pump body, an inlet diameter D6 of a shrink segment of an outlet of the pump body, an outlet diameter D7 of the shrink segment of the outlet of the pump body, a length L of the shrink segment of the outlet of the pump body, a taper f of the shrink segment of the outlet of the pump body, a contraction angle phi of the contraction segment of the outlet of the pump body, a diffuser angle theta of the entrance segment of the pump body, an inlet diameter D0 of the entrance segment of the pump body and the like. Through the adoption of the hydraulic design method disclosed by the invention the operation reliability and the operation stability of the nuclear main pump can be improved, the service life and the maintenance cycle are prolonged, and the possibility of a nuclear accident occurred in a nuclear power plant is reduced.

Description

A kind of Hydraulic Design Method of the core main pump torispherical pump housing

Technical field

The present invention relates to a kind of design method of main flow passage components of core main pump, particularly a kind of design method of the core main pump pump housing.

Background technique

Nuclear power with pump require long trouble free running, to reliability and security requirement very strict.Also require in many situations in case of emergency can ensure emergency.Because radioactive liquid leaks, potential threat is formed to environment and the person, so must ensure that these pumps do not leak or leak within controllable scope, being contained in a container by its entirety in structural design, so also causes nuclear power pump cost high.

Nuclear power pump is Nuclear pressure components, should observe corresponding nuclear power specification.Three Estate is divided by specification nuclear equipment.Defining core first device is that its damage can cause the leakage of primary Ioops freezing mixture to exceed the normal enrich the water of reactor, maybe can hinder smooth shutdown and the cooling of reactor.To the definition of core secondary equipment be, the bearing device of the conveying reactor coolant beyond core one-level.Core three grades of equipment refer to, other important safety equipment, and damage the equipment that can not cause direct radioactive consequence.Existing nuclear power station mainly contains two large class, pressurized water reactor power station and boiling water reactor power stations.

In pressurized-water reactor nuclear power plant reactor coolant loop, core main pump is unique high-speed rotating equipment, is also the important pressure boundary equipment of primary Ioops.In one loop of nuclear power station, core main pump is for driving freezing mixture at reactor cooling system system internal circulation flow, continuously the heat produced in reactor core is passed to steam generator, the temperature of reactor is maintained within a certain range, prevent the generation of a series of nuclear accident caused because core temperature is too high, guarantee that nuclear power station energy is long-term, stable, work normally.The main flow passage components of core main pump comprise the pump housing, impeller and stator, and impeller mainly plays energy transferring effect, are kinetic energy and the pressure energy of freezing mixture by the changes mechanical energy of axle, promote freezing mixture shuttling movement in primary Ioops system.Stator mainly works the freezing mixture collected and flow out from impeller, and the speed of freezing mixture part can be converted into pressure energy, reduces energy loss.The effect of the pump housing is safety protection effect on the one hand, prevents the freezing mixture of High Temperature High Pressure from flowing out in pump, and the freezing mixture flowed out from stator outlet is collected in effect on the other hand, and partial velocity can be converted into pressure energy.As can be seen here, the pump housing is most important to core main pump, designs the pump housing of hydraulic performance excellence to the raising of the efficiency of core main pump, the saving of cost of electricity-generating, and nuclear power station safety etc. aspect significant.

The current pump housing mainly helical structure is main, and the design method of the pump housing is also mostly the pump housing for this helical structure.And work under the environment of High Temperature High Pressure due to core main pump; thus require that the core main pump pump housing has enough safety protection effects; namely there is requirement higher to the high pressure resistant and resistance to high temperature of the core main pump pump housing; and be not often well positioned to meet the high temperature resistant and high voltage bearing needs of core main pump with the pump housing of the helical structure of conventional design; therefore propose a kind of newly there is safe enough protective action, and high temperature resistant and high pressure resistant pump body structure design method is necessary very much.The power of core main pump is very large, in order to reduce energy loss, saves cost of electricity-generating, the efficiency of core main pump should be improved as much as possible, therefore, design the core main pump pump housing with higher hydraulic efficiency, significant to whole efficiency, the energy saving improving core main pump.

The patent No. is disclose one " a kind of design method of the core main pump pump housing " in the Chinese invention patent of No. 201310425662.9.That illustrate the basic thought of pump body design, but this design method only gives overflow section area F, outlet angle of flare, volute casing inflow location, volute casing sectional shape, the isoparametric specific design method of pump cover import angle of throat of volute casing, other parameters still rely on the experience of engineers and technicians, do not provide system, accurate design method.The patent No. is that the Chinese invention patent of No. 201310749288.8 discloses one " a kind of design method of the core main pump pump housing ", in this patent of invention, inventor gives the outlet diameter of the core main pump pump housing and the design method of discharge area, and this design method gives the scope of design of outlet angle of flare.But this patent does not provide the design of other design parameters equally.The patent No. is that the Chinese invention patent of No. 201410441733.9 discloses one " based on radial force multi-operating mode nuclear power pump circular casing Hydraulic Design Method ", the pressure balance that inventor utilizes impeller central line and annular delivery chamber center line bias to produce in that patent eliminates the most radial forces caused by annular this body structure of delivery chamber, meet the service condition of multiple operating point simultaneously, the Hydraulic Design has been carried out to the structural parameter of pump case, under realizing pump operation condition, radial force is minimum, ensure stable operation of unit, increase the service life, this patent same does not provide the design of other design parameters.

For the defect of above-mentioned existence, the present inventor has invented " a kind of Hydraulic Design Method of the core main pump torispherical pump housing ", do not only give the method for accurately designing of the Different structural parameters of the core main pump torispherical pump housing, also enhance the pressure-bearing Safety performance of core main pump, also improve reliability of operation and stability, extend working life and service cycle, make the work of core main pump more stable simultaneously, the possibility that Nuclear Power Station accident occurs can be reduced.

Goal of the invention

Core main pump has the working condition of its uniqueness, flow is large, and medium is High Temperature High Pressure.But High Temperature High Pressure is compared with normal temperature and pressure operating mode, just change the physical parameter of working medium, can not change to lift of pump, the efficiency of pump slightly improves.Utilize traditional velocity coefficient Graphic Design special nucleus main pump flow passage components to be feasible, but consider the Safety performance requirement of core main pump, need further to design.Therefore in order to solve the problem, the invention provides the design method of a kind of core main pump pump housing being different from traditional velocity-coefficient method.Reach by the parameter such as area of passage, pump import and export area of control pump body section the safety protection effect improving core main pump reliability of operation and strengthen the pump housing, make the work of core main pump more stable simultaneously, the possibility that Nuclear Power Station accident occurs can be reduced.

Summary of the invention

In order to solve the problem, the invention provides a kind of Hydraulic Design Method of the core main pump torispherical pump housing.By improving the design method of several important parameters of the pump housing, adapting to the mobility status of High Temperature High Pressure large discharge, improving Safety performance and the stability of the core main pump torispherical pump housing.

Realizing the technological scheme that above-mentioned purpose adopts is:

(1) the core main pump base circle diameter (BCD) D of the torispherical pump housing ₅

$D_4=\[1.152\×e^{-{\left(\frac{n_s-956.3}{1365}\right)}^2}+0.165\×e^{-{\left(\frac{n_s-167.5}{232.2}\right)}^2}\]\×D_3---\left(1\right)$

$D_5=(0.9077+2.549\×{10}^{-5}Q+\frac{40-\mathrm{\α}}{59.8658}-1.246\×{10}^{-7}QH+6.175\×{10}^{-6}{H}^2)\×D_4---\left(2\right)$

In formula:

D ₄-core main pump estimation the base circle diameter (BCD) of the torispherical pump housing, rice;

N _sthe specific speed of-core main pump;

D ₃the outlet diameter of-core main pump stator, rice;

D ₅-core main pump the base circle diameter (BCD) of the torispherical pump housing, rice;

The design discharge of Q-core main pump, rice ³/ second;

The rated lift of H-core main pump, rice;

The number of blade of Z-core main pump stator, rice;

(2) the core main pump entrance width b of the torispherical pump housing ₅

$b_5=b_4+\[\frac{1}{40}\×\sqrt{\ln (-6\mathrm{\α}+240)}\]D_5---\left(3\right)$

In formula:

B ₅-core main pump the entrance width of the torispherical pump housing, rice;

B ₄the exit width of-core main pump stator, rice;

The rated lift of H-core main pump, rice;

D ₅-core main pump the base circle diameter (BCD) of the torispherical pump housing, rice;

The outlet laying angle of α-core main pump stator, degree;

(3) the core main pump overflow section area F of the torispherical pump housing

$F_3=(1.163\×e^{-{\left(\frac{H-215.6}{505.7}\right)}^2}+0.02789\×e^{-{\left(\frac{-0.8333Z+91.7}{24.92}\right)}^2})\frac{Q}{v}---\left(4\right)$

F＝(0.065lnn _s+0.785)F ₃(5)

$v=\left(0.9776e^{(5.311\×{10}^{-8}Q)}\right)-4.761e^{\left(0.0002946Q\right)}\sqrt{2\mathrm{gH}}$

In formula:

F ₃-core main pump estimation the area of the overflow section of the torispherical pump housing, rice ²;

The rated lift of H-core main pump, rice;

The design discharge of Q-core main pump, rice ³/ second;

The v-core main pump mean velocity of the overflow section of the torispherical pump housing, meter per second;

The F-core main pump area of the overflow section of the torispherical pump housing, rice ²;

N _sthe specific speed of-core main pump;

The number of blade of Z-core main pump stator, rice;

(4) the core main pump maximum outside diameter D of the torispherical pump housing ₉

$D_8=1868\×e^{-{\left(\frac{F-3.042\×{10}^5}{1.512\×{10}^4}\right)}^2}+186.5\×e^{-{\left(\frac{F-3.107\×{10}^5}{3026}\right)}^2}---\left(7\right)$

$D_9=(0.9496+0.001708n_s-\frac{155-0.8333Z}{131.2853}-1.1312\×{10}^{-5}{n}_{s}H+6.44\×{10}^{-5}{H}^2)\×D_8---\left(8\right)$

In formula:

D ₈-core main pump torispherical pump housing estimation maximum outside diameter, rice;

The F-core main pump area of the overflow section of the torispherical pump housing, rice ²;

D ₉-core main pump the maximum outside diameter of the torispherical pump housing, rice;

N _sthe specific speed of-core main pump;

The rated lift of H-core main pump, rice;

The number of blade of Z-core main pump stator, rice;

The typical section design rectangle of pump case or similar circle, all greatly can optimize flow field, and both distinguish not quite.

(5) the core main pump section width L of the torispherical pump housing ₂

$L_2=(0.4863e^{8.543\×{10}^{-6}\×Q}-148.6e^{-0.0004585\×Q})\×D_7---\left(9\right)$

In formula:

L ₂-core main pump the section width of the torispherical pump housing, rice;

The design discharge of Q-core main pump, rice ³/ second;

D ₉-core main pump the maximum outside diameter of the torispherical pump housing, rice

(6) the core main pump influent stream position L of the torispherical pump housing ₃

$L_3=\left(\frac{-0.0001573{n_s}^2+1.198n_s-22.51}{n_s+39.72}\right)\frac{L_2}{2}---\left(10\right)$

In formula:

L ₃-core main pump influent stream the position of the torispherical pump housing, rice;

L ₂-core main pump the section width of the torispherical pump housing, rice;

N _sthe specific speed of-core main pump;

If impeller type is centrifugal or is partial to centrifugal mixed-flow, pump housing entrance is so adopted to be positioned at the center in cross section, if the flow field impeller type that the layout of liquid radial inflow can optimize the pump housing is greatly axial flow or the mixed-flow being partial to axial flow, so adopt pump housing entrance to be positioned at the side in cross section, the layout that fluid and the angled mode of axle flow into the pump housing can optimize the flow field of the pump housing greatly.

(7) the core main pump inlet diameter D of torispherical pump housing exit constriction section ₆

$D_6=(0.5035+0.001584n_s-0.007043H-1.307\×{10}^{-5}{n}_{s}H+5.912\×{10}^{-5}{H}^2)\sqrt{\frac{Q}{3600}}---\left(11\right)$

In formula:

D ₆-core main pump the inlet diameter of torispherical pump housing exit constriction section, rice;

The area of the overflow section of the F-core main pump pump housing, rice ²;

(8) the core main pump outlet diameter D of torispherical pump housing exit constriction section ₇

$D_7=\[6.215e^{-{\left(\frac{n_s-1350}{1097}\right)}^2}+1.176e^{-{\left(\frac{n_s-395.9}{250.1}\right)}^2}\]\×\sqrt[3]{\frac{Q}{n}}---\left(12\right)$

In formula:

D ₇-core main pump the outlet diameter of torispherical pump housing exit constriction section, rice;

N _sthe specific speed of-core main pump;

The design discharge of Q-core main pump, rice ³/ second;

The design speed of n-core main pump, rev/min;

(9) the core main pump length L of torispherical pump housing exit constriction section and angle of throat φ

$L=f(D_6-D_7)=1.126e^{-{\left(\frac{H-205.3}{68.93}\right)}^2}+0.4545e^{-{\left(\frac{-0.8333Z+53}{45.1}\right)}^2}(D_6-D_7)---\left(13\right)$

In formula:

The L-core main pump length of torispherical pump housing exit constriction section, rice;

The f-core main pump tapering of torispherical pump housing exit constriction section;

-core main pump the angle of throat of torispherical pump housing exit constriction section, degree;

D ₆-core main pump the inlet diameter of torispherical pump housing exit constriction section, rice;

D ₇-core main pump the outlet diameter of torispherical pump housing exit constriction section, rice;

The rated lift of H-core main pump, rice;

The number of blade of Z-core main pump stator, rice;

(10) the core main pump angle of flare θ of torispherical pump housing inducer

$\mathrm{\θ}=\arcsin \left(\frac{0.2112Q-2037}{Q-9465}\right)---\left(15\right)$

In formula:

θ-core main pump angle of flare of torispherical pump housing inducer, degree;

The design discharge of Q-core main pump, rice ³/ second;

(11) core main pump torispherical pump housing inducer inlet diameter D ₀

$D_0=\[4.901e^{-{\left(\frac{n_s-661.8}{421.7}\right)}^2}+1.671e^{-{\left(\frac{n_s-320.7}{190.5}\right)}^2}\]\×\sqrt[3]{\frac{Q}{n}}---\left(16\right)$

In formula:

D ₀-core main pump torispherical pump housing inducer inlet diameter, rice;

The rated lift of H-core main pump, rice;

The design discharge of Q-core main pump, rice ³/ second;

According to above-mentioned steps, can obtain a kind of relative system, the design method of accurate pump housing major parameter.

By above-mentioned computational methods definite kernel main pump torispherical pump housing main geometric parameters, comprise core main pump torispherical pump housing estimation base circle diameter (BCD), core main pump torispherical pump housing base circle diameter (BCD), the core main pump exit width of the torispherical pump housing, the core main pump estimation flow section area of the torispherical pump housing, the core main pump overflow section area of the torispherical pump housing, the core main pump mean velocity of torispherical pump housing overflow section, the core main pump estimation maximum outside diameter of the torispherical pump housing, the core main pump maximum outside diameter of the torispherical pump housing, the core main pump section width of the torispherical pump housing, the core main pump influent stream position of the torispherical pump housing, the core main pump inlet diameter of torispherical pump housing exit constriction section, the core main pump outlet diameter of torispherical pump housing exit constriction section, core the main pump length of torispherical pump housing exit constriction section and tapering, the core main pump angle of throat of torispherical pump housing exit constriction section, the core main pump angle of flare of torispherical pump housing inducer, the core main pump inlet diameter of torispherical pump housing inducer.This design method is different from traditional analogue method and velocity-coefficient method, but can strengthen the pressure-bearing Security of core main pump, makes the work of core main pump more stable simultaneously, can reduce the possibility that Nuclear Power Station accident occurs.

Accompanying drawing explanation

Below in conjunction with the drawings and specific embodiments, the present invention is further described.

Fig. 1 is the planimetric map of the core main pump torispherical pump housing.

Fig. 2 is the water body schematic diagram of the core main pump torispherical pump housing.

Specific implementation method

The present invention carrys out definite kernel main pump torispherical pump housing estimation base circle diameter (BCD) D by following formula ₄, core main pump torispherical pump housing base circle diameter (BCD) D ₅, the core main pump entrance width b of the torispherical pump housing ₅, the core main pump estimation flow section area F of the torispherical pump housing ₃, core main pump overflow section area F, the mean velocity v of core main pump torispherical pump housing overflow section, the estimation maximum outside diameter D of the core main pump torispherical pump housing of the torispherical pump housing ₈, the core main pump maximum outside diameter D of the torispherical pump housing ₉, the core main pump section width L of the torispherical pump housing ₂, the core main pump influent stream position L of the torispherical pump housing ₃, the core main pump inlet diameter D of torispherical pump housing exit constriction section ₆, the core main pump outlet diameter D of torispherical pump housing exit constriction section ₇, the core main pump length L of torispherical pump housing exit constriction section and tapering f, core main pump torispherical pump housing exit constriction section angle of throat the angle of flare θ of core main pump with torispherical pump housing inducer, the inlet diameter D of core main pump torispherical pump housing inducer ₀deng several parameters of the pump housing.

This embodiment is at given design conditions flow Q, design conditions lift H, design conditions rotating speed n, calculates impeller hydraulic parameters:

$D_4=\[1.152\×e^{-{\left(\frac{n_s-956.3}{1365}\right)}^2}+0.165\×e^{-{\left(\frac{n_s-167.5}{232.2}\right)}^2}\]\×D_3---\left(1\right)$

D ₅＝(0.9077+2.549×10 ^-5Q+0.002784H-1.246×10 ^-7QH+6.175×10 ^-6H ²)×D ₄(2)

$b_5=b_4+(\frac{1}{40}\×\sqrt{\ln H})D_5---\left(3\right)$

$F_3=(1.163\×e^{-{\left(\frac{H-215.6}{505.7}\right)}^2}+0.02789\×e^{-{\left(\frac{H-63.3}{24.92}\right)}^2})\frac{Q}{v}---\left(4\right)$

F＝(0.065lnn _s+0.785)F ₃(5)

$v=(0.9776e^{(5.311\×{10}^{-8}Q)}-4.761e^{(-0.0002946Q)})\sqrt{2gH}---\left(6\right)$

$D_8=1868\×e^{-{\left(\frac{F-3.042\×{10}^5}{1.512\×{10}^4}\right)}^2}+186.5\×e^{-{\left(\frac{F-3.107\×{10}^5}{3026}\right)}^2}---\left(7\right)$

D ₉＝(0.9496+0.001708n _s-0.007617H-1.1312×10 ^-5n _sH+6.44×10 ^-5H ²)×D ₈(8)

$L_2=(0.4863e^{8.543\×{10}^{-6}\×Q}-148.6e^{-0.0004585\×Q})\×D_8---\left(9\right)$

$L_3=\left(\frac{-0.0001573{n_s}^2+1.198n_s-22.51}{n_s+39.72}\right)\frac{L_2}{2}---\left(10\right)$

$D_6=(0.5035+0.001584n_s-0.007043H-1.307\×{10}^{-5}{n}_{s}H+5.912\×{10}^{-5}{H}^2)\sqrt{\frac{Q}{3600}}---\left(11\right)$

$D_7=\[6.215e^{-{\left(\frac{n_s-1350}{1097}\right)}^2}+1.176e^{-{\left(\frac{n_s-395.9}{250.1}\right)}^2}\]\×\sqrt[3]{\frac{Q}{n}}---\left(12\right)$

$L=f(D_6-D_7)=1.126e^{-{\left(\frac{H-205.3}{68.93}\right)}^2}+0.4545e^{-{\left(\frac{H-102}{45.1}\right)}^2}(D_6-D_7)---\left(13\right)$

$\mathrm{\θ}=\arcsin \left(\frac{0.2112Q-2037}{Q-9465}\right)---\left(15\right)$

$D_0=\[4.901e^{-{\left(\frac{n_s-661.8}{421.7}\right)}^2}+1.671e^{-{\left(\frac{n_s-320.7}{190.5}\right)}^2}\]\×\sqrt[3]{\frac{Q}{n}}---\left(16\right)$

The present invention adopts exact formulas design method to carry out the Hydraulic Design, can improve pump housing reliability of operation, extends working life and service cycle simultaneously.Because design method of the present invention is different from traditional velocity-coefficient method, therefore effectively can improve the pressure-bearing Safety performance of the pump housing, make the work of core main pump more stable simultaneously, the possibility that Nuclear Power Station accident occurs can be reduced.

Above, that makes with reference to embodiment for patent of the present invention illustrates, but the present invention is not limited to above-described embodiment, also comprises other embodiments in concept of the present invention or variation.

Claims (8)

1. a core main pump Hydraulic Design Method for the torispherical pump housing, provides the main geometric parameters of the pump housing, comprises the influent stream position L of the core main pump torispherical pump housing ₃, the core main pump section width L of the torispherical pump housing ₂, the overflow section area F of core main pump with the torispherical pump housing, the estimation maximum outside diameter D of the core main pump torispherical pump housing ₈, the core main pump maximum outside diameter D of the torispherical pump housing ₉, the core main pump estimation flow section area F of the torispherical pump housing ₃, the core main pump mean velocity v of torispherical pump housing overflow section, core main pump torispherical pump housing estimation base circle diameter (BCD) D ₄, core main pump torispherical pump housing base circle diameter (BCD) D ₅, the core main pump entrance width b of the torispherical pump housing ₅, the core main pump length L of torispherical pump housing exit constriction section and tapering f, core main pump torispherical pump housing exit constriction section angle of throat the core main pump outlet diameter D of torispherical pump housing exit constriction section ₇, the core main pump inlet diameter D of torispherical pump housing exit constriction section ₆, the angle of flare θ of core main pump with torispherical pump housing inducer, the inlet diameter D of pump housing inducer ₀deng, it is characterized in that:

$L_3=\left(\frac{-0.0001573{n_s}^2+1.198n_s-22.51}{n_s+39.72}\right)\frac{L_2}{2}---\left(1\right)$

$L_2=(0.4863e^{8.543\×{10}^{-6}\×Q}-148.6e^{-0.0004585\×Q})\×D_9---\left(2\right)$

F＝(0.065lnn _s+0.785)F ₃(3)

In formula:

L ₃-core main pump influent stream the position of the torispherical pump housing, rice;

N _sthe specific speed of-core main pump;

L ₂-core main pump the section width of the torispherical pump housing, rice;

The flow of Q-core main pump, rice ³/ second;

D ₉-core main pump the maximum outside diameter of the torispherical pump housing, rice;

The F-core main pump overflow section area of the torispherical pump housing, rice ²;

F ₃-core main pump estimation overflow section the area of the torispherical pump housing, rice ².

2. according to the requirement of claims (1), the core main pump maximum outside diameter D of the torispherical pump housing ₉design formula:

$D_8=1868\×e^{-{\left(\frac{F-3.042\×{10}^5}{1.512\×{10}^4}\right)}^2}+186.5\×e^{-{\left(\frac{F-3.107\×{10}^5}{3026}\right)}^2}---\left(4\right)$

$D_9=(0.9496+0.001708n_s-\frac{155-0.8333Z}{131.2853}-1.1312\×{10}^{-5}{n}_{s}H+6.44\×{10}^{-5}{H}^2)\×D_8---\left(5\right)$

In formula:

D ₈-core main pump estimation the maximum outside diameter of the torispherical pump housing, rice;

The main lift of pump of H-core, rice;

The number of blade of Z-core main pump stator.

3. according to the requirement of claims (1), the core main pump estimation overflow section area F of the torispherical pump housing ₃design formula:

$F_3=(1.163\×e^{-{\left(\frac{H-215.6}{505.7}\right)}^2}+0.02789\×e^{-{\left(\frac{-0.8333Z+91.7}{24.92}\right)}^2})\frac{Q}{v}---\left(6\right)$

$v=(0.9776e^{(5.311\×{10}^{-8}Q)}-4.761e^{(-0.0002946Q)})\sqrt{2gH}---\left(7\right)$

In formula:

The v-core main pump mean velocity of the overflow section of the torispherical pump housing, meter per second.

4. according to the requirement of claims (2), the core main pump base circle diameter (BCD) D of the torispherical pump housing ₅design formula:

$D_4=\[1.152\×e^{-{\left(\frac{n_s-956.3}{1365}\right)}^2}+0.165\×e^{-{\left(\frac{n_s-167.5}{232.2}\right)}^2}\]\×D_3---\left(8\right)$

$D_5=(0.9077+2.549\×{10}^{-5}Q+\frac{40-\mathrm{\α}}{59.8658}-1.246\×{10}^{-7}QH+6.175\×{10}^{-6}{H}^2)\×D_4---\left(9\right)$

In formula:

D ₃the outlet diameter of the stator of-core main pump, rice;

D ₄-core main pump estimation the base circle diameter (BCD) of the torispherical pump housing, rice;

D ₅-core main pump the base circle diameter (BCD) of the torispherical pump housing, rice;

The outlet laying angle of α-core main pump stator, degree.

5. the core main pump entrance width b of the torispherical pump housing ₅design formula:

$b_5=b_4+\[\frac{1}{40}\×\sqrt{\ln (-6\mathrm{\α}+240)}\]D_5---\left(10\right)$

In formula:

B ₄the exit width of the stator of-core main pump, rice;

B ₅-core main pump the entrance width of the torispherical pump housing, rice.

6. the core main pump length L of torispherical pump housing exit constriction section and angle of throat design formula:

$L=f(D_6-D_7)=1.126e^{-{\left(\frac{H-205.3}{68.93}\right)}^2}+0.4545e^{-{\left(\frac{-0.8333Z+53}{45.1}\right)}^2}(D_6-D_7)---\left(11\right)$

In formula:

The L-core main pump length of the exit constriction section of the torispherical pump housing, rice;

The f-core main pump tapering of the exit constriction section of the torispherical pump housing, rice;

D ₆-core main pump the inlet diameter of the exit constriction section of the torispherical pump housing, rice;

D ₇-core main pump the outlet diameter of the exit constriction section of the torispherical pump housing, rice;

-core main pump the angle of throat of torispherical pump housing exit constriction section, degree.

7. according to the requirement of claims (6), the core main pump outlet diameter D of torispherical pump housing exit constriction section ₇with inlet diameter D ₆design formula:

$D_7=\[6.215e^{-{\left(\frac{n_s-1350}{1097}\right)}^2}+1.176e^{-{\left(\frac{n_s-395.9}{250.1}\right)}^2}\]\×\sqrt[3]{\frac{Q}{n}}---\left(13\right)$

$D_6=(0.5035+0.001584n_s-0.007043H-1.307\×{10}^{-5}{n}_{s}H+5.912\×{10}^{-5}{H}^2)\sqrt{\frac{Q}{3600}}---\left(14\right)$

8. the core main pump angle of flare θ of torispherical pump housing inducer and inlet diameter D ₀design formula:

$\mathrm{\θ}=arcsin\left(\frac{0.2112Q-2037}{Q-9465}\right)---\left(15\right)$

$D_0=\[4.901e^{-{\left(\frac{n_s-661.8}{421.7}\right)}^2}+1.671e^{-{\left(\frac{n_s-320.7}{190.5}\right)}^2}\]\×\sqrt[3]{\frac{Q}{n}}---\left(16\right)$

In formula:

θ-core main pump angle of flare of the inducer of the torispherical pump housing, degree;

D ₀-core main pump torispherical pump housing inducer inlet diameter, rice.