Theory of Irrotational Flow

Steven Nerney; Edward G. Nerney

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arXiv · 2001.05850

Theory of Irrotational Flow

Steven Nerney·Edward G. Nerney

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Abstract

We analyze the Navier Stokes equation, and show that all non-viscous, irrotational flows are barotropic. As far as we know, this has never been stated in the literature before, and indirectly suggests that vorticity is required to make these flows non-barotropic. Both the pressure, temperature, speed, entropy, enthalpy, and a Bernoulli function are derived to be only functions of the density (which is a function of space and time). When we also require steady flow, the Bernoulli function is a constant in all space, not just on streamlines.

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Steven Nerney, Edward G. Nerney. 2020-01-03. Theory of Irrotational Flow. https://arxiv.org/abs/2001.05850

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