Abstract
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).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer Science+Business Media New York
About this chapter
Cite this chapter
Straughan, B. (1992). Convection in Generalized Fluids. In: The Energy Method, Stability, and Nonlinear Convection. Applied Mathematical Sciences, vol 91. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2194-2_9
Download citation
DOI: https://doi.org/10.1007/978-1-4757-2194-2_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-2196-6
Online ISBN: 978-1-4757-2194-2
eBook Packages: Springer Book Archive