Centrifugal Pumps

 

Example:  A centrifugal pump with  r1 =  1/3 ft,  r2 = 1/2 ft,  b1 = b2 = 1/6 ft,  β2 = 30o  rotates counterclockwise at ω = 200 rad/sec as shown in the figure below.  The flowrate, Q, is 10 ft3/sec.

Find the angle at the leading edge of the vane,  β1,  the torque, T, driving the pump, the power

added to the fluid, P, the head, H, added to the fluid, and the pressure rise, ∆P, for the pump.

 

                          

 

Strategy:  First plot the vector diagrams showing the velocity vectors at the leading edge of the

vane and at the trailing edge of the vane.  Then apply the principles of conservation of mass,

conservation of angular momentum, and conservation of energy to solve for the  requested

information.

 

Step 1:  Plot vector diagrams.

                     

 

 

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