Layered Von Kármán's swirling flow
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The author examines the Navier-Stokes equations describing a swirling flow consisting of two fluid layers. It is assumed that the fluid is injected into the swirl in the bottom layer from a rotating disk when the disk melts in ambient fluid and the melted fluid is removed by centrifugal forces. By using similarity transformation, the problem is reduced to a boundary value problem for a system of two ordinary differential equations. The existence of the solution is proved by shooting method.
- Michigan State University United States
Viscous flow, similarity transformation, Navier–Stokes, Von Kármán swirling flow, Applied Mathematics, Melting, General theory of rotating fluids, shooting method, Rotating disk, Navier-Stokes equations, Existence, uniqueness, and regularity theory for incompressible viscous fluids, Analysis
Viscous flow, similarity transformation, Navier–Stokes, Von Kármán swirling flow, Applied Mathematics, Melting, General theory of rotating fluids, shooting method, Rotating disk, Navier-Stokes equations, Existence, uniqueness, and regularity theory for incompressible viscous fluids, Analysis
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