GLOBAL STABILITY FOR THERMAL CONVECTION IN A COUPLE-STRESS FLUID WITH TEMPERATURE AND PRESSURE DEPENDENT VISCOSITY

Sunil; Shalu Choudhary; P. K. Bharti

doi:10.2478/sgem-2013-0032

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GLOBAL STABILITY FOR THERMAL CONVECTION IN A COUPLE-STRESS FLUID WITH TEMPERATURE AND PRESSURE DEPENDENT VISCOSITY

Studia Geotechnica et Mechanica

Volume 35 (2013): Issue 3 (September 2013)

By: Sunil, Shalu Choudhary and P. K. Bharti

Open Access

|Feb 2014

Abstract

We show that the global nonlinear stability threshold for convection in a couple-stress fluid with temperature and pressure dependent viscosity is exactly the same as the linear instability boundary. This optimal result is important because it shows that linearized instability theory has captured completely the physics of the onset of convection. It has also been found that the couplestress fluid is more stable than the ordinary viscous fluid and then the effect of couple-stress parameter (F) and variable dependent viscosity (Γ) on the onset of convection is also analyzed.

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Articles in this issue

DOI: https://doi.org/10.2478/sgem-2013-0032 | Journal eISSN: 2083-831X | Journal ISSN: 0137-6365

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Language: English

Page range: 85 - 102

Published on: Feb 14, 2014

Published by: Wroclaw University of Science and Technology

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Related subjects:

Physics,

Mechanics and fluid dynamics

© 2014 Sunil, Shalu Choudhary, P. K. Bharti, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons License.

Volume 35 (2013): Issue 3 (September 2013)