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Thermal instability of viscoelastic fluids in horizontal porous layers as initial value problem.

Author(s) : BERTOLA V., CAFARO E.

Type of article: Article

Summary

The instability of a viscoelastic fluid saturating a horizontal porous layer heated from below is studied theoretically with a dynamical system approach. The viscoelastic character of the flow is taken into account by a modified Darcy's law. The conservation equations of mass, momentum and energy are approximated by a reduced-order system of non-linear, ordinary differential equations, which is similar to the well-known system derived by Lorenz to describe atmospheric convection. Equilibrium points and their stability are expressed as functions of a dimensionless heat capacity and of two relaxation parameters. Qualitative expressions of the Nusselt number when the system is out of equilibrium are also derived. [Reprinted with permission from Elsevier. Copyright, 2006].

Details

  • Original title: Thermal instability of viscoelastic fluids in horizontal porous layers as initial value problem.
  • Record ID : 2007-1005
  • Languages: English
  • Source: International Journal of Heat and Mass Transfer - vol. 49 - n. 21-22
  • Publication date: 2006/10

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