A single-stage axial flow pump with outer radius r2 =0.240 m and inner radius r1=0.120 m is given. At a radius of r=0.090 m, absolute flow flows in from the axial direction just before the impeller inlet and relative flow flows out in the axial direction just after the impeller outlet. Assuming a flow rate Q = 0.265 m^3/s, a water density p=1.000 x103 kg/m^3, a rotation speed n =2.4 x 10^3 rpm, and a gravitational acceleration g = 9.81 m/s^2, and assuming that the theoretical head Hth = W/g (W: specific work) derived from Euler's law is constant at all impeller radii, answer the following questions. (1) Assuming that the flow is uniform, find the axial velocity. (2) Find the velocity triangles just before the impeller inlet and just after the impeller outlet at a radius of r=0.09 m.

A single-stage axial flow pump with outer radius r2 =0.240 m and inner radius r1=0.120 m is given. At a radius of r=0.090 m, absolute flow flows in from the axial direction just before the impeller inlet and relative flow flows out in the axial direction just after the impeller outlet. Assuming a flow rate Q = 0.265 m^3/s, a water density p=1.000 x103 kg/m^3, a rotation speed n =2.4 x 10^3 rpm, and a gravitational acceleration g = 9.81 m/s^2, and assuming that the theoretical head Hth = W/g (W: specific work) derived from Euler's law is constant at all impeller radii, answer the following questions. (1) Assuming that the flow is uniform, find the axial velocity. (2) Find the velocity triangles just before the impeller inlet and just after the impeller outlet at a radius of r=0.09 m.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A single-stage axial flow pump with outer radius r2 =0.240 m and inner radius r1=0.120 m is given. At a radius of r =0.090 m, absolute flow flows in from the axial direction just before the impeller inlet and relative flow flows out in the axial direction just after the impeller outlet. Assuming a flow rate Q = 0.265 m^3/s, a water density p= 1.000 x 103 kg/m^3, a rotation speed n = 2.4 x 10^3 rpm, and a gravitational acceleration g = 9.81 m/s^2, and assuming that the theoretical head Hth = W/g (W: specific work) derived from Euler's law is constant at all impeller radii, answer the following questions. (1) Assuming that the flow is uniform, find the axial velocity. (2) Find the velocity triangles just before the impeller inlet and just after the impeller outlet at a radius of r =0.09 m. (3) From Euler's law, find the theoretical head Hth [m]. (4) Find the power P [W] required to rotate the impeller (drive the pump).
A single-stage axial flow pump with outer radius r2 = 0.240 m and inner radius r1=0.120 m is given. At a radius of r =0.090 m, absolute flow flows in from the axial direction just before the impeller inlet and relative flow flows out in the axial direction just after the impeller outlet. Assuming a flow rate Q = 0.265 m^3/s, a water density p = 1.000 x 103 kg/m^3, a rotation speed n = 2.4 x 10^3 rpm, and a gravitational acceleration g = 9.81 m/s^2, and assuming that the theoretical head Hth = W/g (W: specific work) derived from Euler's law is constant at all impeller radii, answer the following questions. (1) Looking at the following image, find all values of the velocity triangle just before the impeller inlet and just after the impeller outlet at radius r =0.09 m. impeller Figure 37.1 A propeller of an axial flow pump a₁ w1 U₁ Outlet guide vane B₁ Impeller α₂ Vw2 U₂=U₂=U
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A single-stage axial flow pump with outer radius r2 =0.240 m and inner radius r1 =0.120 m is given. At a radius of r =0.090 m, absolute flow flows in from the axial direction just before the impeller inlet and relative flow flows out in the axial direction just after the impeller outlet. Assuming a flow rate Q = 0.265 m^3/s, a water density ρ = 1.000 × 103 kg/m^3, a rotation speed n = 2.4 × 10^3 rpm, and a gravitational acceleration g = 9.81 m/s^2 , and assuming that the theoretical head Hth = W/g (W: specific work) derived from Euler's law is constant at all impeller radii, answer the following questions. (1) Find the velocity triangles just before the impeller inlet and just after the impeller outlet at a radius of r =0.09 m.
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