In Middle Volga Mathematical Society

Influence of rigid sphere on linear flow of the fluid with temperature-dependent viscosity

A. O. Syromyasov

Mordovian State University, Saransk

Abstract: Stokes approximation is used to solve a problem about a rigid sphere in linear shear flow of fluid with variable viscosity. Temperature gradient far from the particle is assumed to be constant. The interaction of thermodynamic and hydrodynamic effects is considered. It is shown that in linear flow of such a fluid the force may act on the particle.

Keywords: viscous fluid, variable viscosity, Stokes approximation, asymptotic methods, suspension.

UDC: 532.582.7

Received: 27.06.2011