Calculating Force & Torque from Submersible Well Pump

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SUMMARY

The discussion focuses on calculating the force and torque exerted by a submersible well pump that pumps water at a volume flow rate of 1 liter per second and a fluid speed of 10 m/s. The key equations referenced include the conservation of momentum equation (m1 u1 + m2 u2 = m1 v1 + m2 v2) and the pressure change equation (Δp1 = −Δp2). The consensus is that the pump primarily exerts a linear vector force downward rather than torque, as the water is ejected vertically along the pump's axis of symmetry.

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Homework Statement



Imagine this submersible well pump pumping water straight up

volume flow 1 liter/second
fluid speed 10m/s

Since pump is pushing on the fluid, fluid has to push on pump as well

Will it be linear vector force downward or torque or combination of both ?

How do i calculate their magnitude?

Homework Equations



m1 u1 + m2 u2 = m1 v1 + m2 v2

Also Δp1 = −Δp2

The Attempt at a Solution



I assume combination of both reaction forces.
 

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Looking at the picture, the pump seems to eject water vertically, from the head located on its vertical axis of symmetry. So I think there is no torque to speak of.
 

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