Convection in Generalized Fluids

  • Brian Straughan
Part of the Applied Mathematical Sciences book series (AMS, volume 91)


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).


Rayleigh Number Critical Rayleigh Number Stationary Convection Micropolar Fluid Oscillatory Convection 
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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Brian Straughan
    • 1
  1. 1.Department of MathematicsUniversity of GlasgowGlasgowUK

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