Formation of a counter current region near a gravitating sphere in a steady Stokes flow of a viscous ideal gas
Abstract
The steady axisymmetric Stokes flow of a viscous ideal gas past a gravitating sphere is studied. A simple form for the viscosity and thermal conductivity of the gas is assumed and the flow is taken as a small perturbation on the equilibrium state at rest. The method of separation of variables is used to reduce the basic equations to an ordinary fourth order differential equation. Drag coefficients, flow configuations and velocity distributions are given. In particular, the formation of a counter current region near the sphere is clarified for cases with strong gravity.
 Publication:

Geophysical and Astrophysical Fluid Dynamics
 Pub Date:
 1983
 DOI:
 10.1080/03091928308209067
 Bibcode:
 1983GApFD..24..225S
 Keywords:

 Axisymmetric Flow;
 Counterflow;
 Spheres;
 Stokes Flow;
 Viscous Flow;
 Differential Equations;
 Drag;
 Ideal Gas;
 Small Perturbation Flow;
 Steady Flow;
 Fluid Mechanics and Heat Transfer