# Inertial Momentum Dissipation for Viscosity Solutions of Euler Equations. I. Flow Around a Smooth Body

@inproceedings{Quan2022InertialMD, title={Inertial Momentum Dissipation for Viscosity Solutions of Euler Equations. I. Flow Around a Smooth Body}, author={Hao Quan and Gregory L. Eyink}, year={2022} }

We study the local balance of momentum for weak solutions of incompressible Euler equations obtained from the zero-viscosity limit in the presence of solid boundaries, taking as an example ﬂow around a ﬁnite, smooth body. We show that both viscous skin friction and wall pressure exist in the inviscid limit as distributions on the body surface. We deﬁne a nonlinear spatial ﬂux of momentum toward the wall for the Euler solution, and show that wall friction and pressure are obtained from this…

## One Citation

### Onsager Theory of Turbulence, the Josephson-Anderson Relation, and the D'Alembert Paradox

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- 2022

The Josephson-Anderson relation, valid for the incompressible Navier-Stokes solutions which describe ﬂow around a solid body, instantaneously equates the power dissipated by drag to the ﬂux of…

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