Engineering, 25.01.2020 01:31 jeffcarpenter

In fully-developed laminar pipe flow, consider the rate of work done on an annulus of thickness dr (hint: consider, for each face of the annulus, rate of work = power = force × velocity).

(i) find an expression for the power (per unit volume) dissipated by the flow in the fluid annulus, and show that it is equal to µ(du/dr)
(ii) by using u(r) from 3(ii) above, and integrating this expression, show that the power dissipated across a length of pipe is q∆p

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In fully-developed laminar pipe flow, consider the rate of work done on an annulus of thickness dr (...