NONLINEAR THERMAL CONVECTION IN AN ELASTIVISCOUS LAYER HEATED FROM BELOW.

Research output: Chapter in Book/Report/Conference proceedingChapter

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Abstract

The study of nonlinear effects for slightly supercritical Rayleigh number (which measures the temperature contrast across the layer) shows that plane disturbances for the case where the exchange of stability is valid and plane or centered disturbances for the case of overstability are governed by equations similar to those derived by Hocking, Stewartson & Stuart for plane Poiseuille flow. The influence of elasticity is to give rise to a burst only when the principle of exchange of stability is valid and provided certain conditions relating to the elastic parameters of the fluid are satisfied. The effect of the adiabatic temperature gradient is also discussed.

Original languageEnglish
Title of host publicationProc R Soc London Ser A
Pages161-176
Number of pages16
Volume356
Edition1685
Publication statusPublished - Jan 1 1977

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ASJC Scopus subject areas

  • Engineering(all)

Cite this

Eltayeb, I. A. (1977). NONLINEAR THERMAL CONVECTION IN AN ELASTIVISCOUS LAYER HEATED FROM BELOW. In Proc R Soc London Ser A (1685 ed., Vol. 356, pp. 161-176)