F. FRANCHI and B. STRAUGHAN

Natural stabilization for fluids of third grade and of dipolar type.

Pages: 77-90
Received: 12 November 1991
Mathematics Subject Classification: 76E15

Abstract The problem of convection in a dipolar fluid or a fluid of third grade is studied, when the viscosity is a linear function of temperature. In contrast with other temperature dependent viscosity theories where a generalized energy approach is necessary, see Franchi and Straughan, Straughan, it is shown that fluids of third grade and of dipolar type possess just the right kinds of dissipative terms to control the extra nonlinearities which arise when the viscosity varies with temperature.