Exact Solutions for the Fluid Impulse for Incompressible and Compressible Flows
Fluid Dynamics
2019-07-24 v2
Abstract
Impulse formulations of the Euler (and Navier-Stokes) equations were considered by Kuz'min [1] and Oseledets [2] and different impulse formulations are produced by various gauge transformations (Russo and Smereka[3]). The extension of the Kuz'min-Oseledets formulation to the compressible, barotropic case was considered by Tur and Yanovsky [4] and Shivamoggi [5]. Here, we construct exact solutions for the fluid impulse density for incompressible and compressible barotropic flows and discuss their physical signifcance.
Keywords
Cite
@article{arxiv.1812.09294,
title = {Exact Solutions for the Fluid Impulse for Incompressible and Compressible Flows},
author = {M. Michalak and B. K. Shivamoggi},
journal= {arXiv preprint arXiv:1812.09294},
year = {2019}
}