Abstract
The wall shear stress in an unsteady duct flow is determined by equalizing the pressure gradient calculated from the momentum integral equation to that from the energy equation. This method is applicable to an unsteady flow subjected to a relatively low acceleration in a duct with arbitrary cross-section. Consideration on unsteady laminar flows in a pipe and rectangular ducts with various aspect ratios reveals that the present representation for time-dependent wall shear stress is superior to the quasi-steady representation commonly used so far. This fact suggests that the present representation is more useful than the quasi-steady one in the turbulent regime too. Accordingly, the representation for unsteady turbulent flow in the above mentioned two kinds of ducts are derived.
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