Convection in Generalized Fluids
If we allow the Newtonian constitutive equation for the stress to be replaced by something for a more exotic fluid then a variety of interesting convection problems arise. Nonlinear energy stability analyses for these fluids are only relatively recent. Slemrod (1978) developed energy theory for an integral-history linear viscoelastic convection problem, while Straughan (1983) and Franchi & Straughan (1988) developed analogous analyses for a fluid of second and of third grade, respectively; the third grade fluid equations are those of Fosdick & Rajagopal (1980).
KeywordsRayleigh Number Critical Rayleigh Number Stationary Convection Micropolar Fluid Oscillatory Convection
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