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Natural convection of viscoelastic fluids in a vertical slot

Published online by Cambridge University Press:  29 March 2006

Dogan Gözüm  and
V. S. Arpaci
Dogan Gözüm
Affiliation:
Department of Mechanical Engineering, The University of Michigan, Ann Arbor
V. S. Arpaci
Affiliation:
Department of Mechanical Engineering, The University of Michigan, Ann Arbor
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Abstract

Linear stability theory is applied to the natural convection of slightly, elastic, viscous fluids in an infinitely long vertical slot. Travelling, as well as stationary, disturbances are considered. It is found that the elasticity (i) slightly stabilizes the stationary disturbances while strongly destabilizing the travelling disturbances, (ii) strongly increases the wave speed while slightly decreasing the wavenumber and (iii) reduces the transition Prandtl number, which separates the stationary cells from the travelling waves, from its value of 12.7 for Newtonian fluids.

Experiments are carried out with a viscoelastic fluid prepared by mixing Separan AP30 with water, giving a Prandtl number of about 30. This fluid is shown to produce wave instability at a Grashof number between 3900 and 4300. Under the same conditions, a Newtonian fluid is shown to remain stable to both stationary and travelling disturbances.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 64 , Issue 3 , 8 July 1974 , pp. 439 - 448
Copyright
© 1974 Cambridge University Press

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