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A viscous solution of the spherical vortex to the Navier-Stokes equations by Fujimoto, Minoru; Uehara, Kunihiko; Yanase, Shinichiro is a scholarly article available to read on EtoBox.

What is A viscous solution of the spherical vortex to the Navier-Stokes equations about?

We deal with the Hill's spherical vortex, which is an exact solution to the Euler equation, and manage the solution to satisfy the incompressible Navier-Stokes(INS) equations with a viscous term. Once we get a viscous solution to the INS equations, we will be able to analyze the flows with discontinuities in vorticity. In the same procedure, we also present a time developing exact solution to the INS equations, which has a rotation on the axis besides the Hill's vortex.

Author

Fujimoto, Minoru; Uehara, Kunihiko; Yanase, Shinichiro

Published

2014

Language

EN