Relation between force and viscous loss for flow in conduits of variable cross section equation 7.5-6 gives
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Relation between force and viscous loss for flow in conduits of variable cross section equation 7.5-6 gives the relation Ff→s = pSEv between the drag force and viscous loss for straight conduits of arbitrary, but constant, cross section. Here we consider a straight channel whose cross section varies gradually with the downstream distance. We restrict ourselves to axisymmetrical channels, so that the force Ff→s is axially directed. If the cross section and pressure at the entrance are S1 and p1, and those at the exit are S2 and P2, then prove that the relation analogous to Eq. 7.5-7 is where interpret the results.
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F» = pS„Ë, + p„(S, – S») S2) 1(1 2 S, Sm S2, P;S¡ + P2S2 Pm Si + S2
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