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Irrotational Flows and Viscosity

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Old   October 1, 2015, 10:08
Default Irrotational Flows and Viscosity
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Can an irrotational flow be viscous? If not why?
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Old   October 1, 2015, 10:33
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Any good fluid mechanic textbook will guide you through this question.

Basically, if the flow is irrotational, the velocity field can be written as the gradient of a scalar function (velocity potential). By tensor algebra, you can show that the Laplacian of a gradient is zero everywhere, therefore the viscous term in the momentum equation vanishes in such case.
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Old   October 1, 2015, 11:02
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So, we can say that all irrotational flows are inviscous?
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