Potential flow of viscous fluids: Historical notes |
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| Authors: | Daniel D Joseph |
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| Institution: | Department of Aerospace Engineering and Mechanics, University of Minnesota, 110 Union Street SE, Minneapolis, MN 55455, USA |
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| Abstract: | In this essay I will attempt to identify the main events in the history of thought about irrotational flow of viscous fluids. I am of the opinion that when considering irrotational solutions of the Navier–Stokes equations it is never necessary and typically not useful to put the viscosity to zero. This observation runs counter to the idea frequently expressed that potential flow is a topic which is useful only for inviscid fluids; many people think that the notion of a viscous potential flow is an oxymoron. Incorrect statements like “… irrotational flow implies inviscid flow but not the other way around” can be found in popular textbooks. |
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| Keywords: | Perfect fluid Inviscid fluid Viscous fluid Potential flow Irrotational flow Vorticity Viscous decay Dissipation method Boundary layer Drag Lift |
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