<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We show that the global nonlinear stability threshold for convection in a couple<bold>-</bold>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.</p></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.

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

Department of Mathematics, National Institute of Technology, Hamirpur, (H.P.) − 177 005, India

Department of Mathematics, G. S. S. S. Mandal, Kangra, (H.P.) − 176 001, India

Studia Geotechnica et Mechanica

We show that the global nonlinear stability threshold for convection in a couple-stress fluid with temperature and pressure dependent viscosity is exactly the...

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

Published Online: Feb 14, 2014

Page range: 85 - 102

DOI: https://doi.org/10.2478/sgem-2013-0032

This content is open access.