Effects of heat generation on g-Jitter induced natural convection flow in a channel with isothermal or isoflux walls

Abstract

This paper discusses the behavior of g-jitter in- duced free convection in microgravity under the influence of a transverse magnetic field and in the presence of heat generation or absorption effects for a simple system con- sisting of two parallel impermeable infinite plates held at four different thermal boundary conditions. The governing equations for this problem are derived on the basis of the balance laws of mass, linear momentum, and energy mod- ified to include the effects of thermal buoyancy, magnetic field and heat generation or absorption as well as Maxwell's equations. The fluid is assumed to be viscous, Newtonian and have constant properties except the density in the body force of the balance of linear momentum equation. The governing equations are solved analytically for the induced velocity and temperature distributions as well as for the electric field and total current for electrically-conducting and insulating walls. This is done for isothermal-iso- thermal, isoflux-isothermal, isothermal-isoflux and iso- flux-isoflux thermal boundary conditions. Graphical results for the velocity amplitude and distribution are presented and discussed for various parametric physical conditions. 1