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Information Journal Paper

Title

GLOBAL STABILITY FOR THERMAL CONVECTION IN A COUPLE STRESS FLUID SATURATING A POROUS MEDIUM WITH TEMPERATURE-PRESSURE DEPENDENT VISCOSITY: GALERKIN METHOD

Pages

  221-229

Keywords

DIFFERENT CONDUCTING BOUNDARIES (FREE-FREE 
RIGID-RIGID) 

Abstract

 A global nonlinear stability analysis is performed for a COUPLE-STRESS FLUID layer heated from below saturating a POROUS MEDIUM with TEMPERATURE-PRESSURE DEPENDENT VISCOSITY for different conducting boundary systems. Here, the global nonlinear stability threshold for convection 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. The eigenvalue problems for different conducting boundary systems are solved by using Galerkin method. The effects of couple-stress parameter F, Darcy-Brinkman number Da and variable viscosity parameter G on the onset of convection are also analyzed. The use of Darcy-Brinkman model makes the system thermally more stable than the Darcy model for all the different conducting boundary systems, couple-stress parameter and medium permeability promotes stabilization, and the variable viscosity destabilizes the system.

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    APA: Copy

    SUNIL, -, & DEVI, R.. (2012). GLOBAL STABILITY FOR THERMAL CONVECTION IN A COUPLE STRESS FLUID SATURATING A POROUS MEDIUM WITH TEMPERATURE-PRESSURE DEPENDENT VISCOSITY: GALERKIN METHOD. INTERNATIONAL JOURNAL OF ENGINEERING, 25(3 (TRANSACTIONS A: BASICS)), 221-229. SID. https://sid.ir/paper/590412/en

    Vancouver: Copy

    SUNIL -, DEVI R.. GLOBAL STABILITY FOR THERMAL CONVECTION IN A COUPLE STRESS FLUID SATURATING A POROUS MEDIUM WITH TEMPERATURE-PRESSURE DEPENDENT VISCOSITY: GALERKIN METHOD. INTERNATIONAL JOURNAL OF ENGINEERING[Internet]. 2012;25(3 (TRANSACTIONS A: BASICS)):221-229. Available from: https://sid.ir/paper/590412/en

    IEEE: Copy

    - SUNIL, and R. DEVI, “GLOBAL STABILITY FOR THERMAL CONVECTION IN A COUPLE STRESS FLUID SATURATING A POROUS MEDIUM WITH TEMPERATURE-PRESSURE DEPENDENT VISCOSITY: GALERKIN METHOD,” INTERNATIONAL JOURNAL OF ENGINEERING, vol. 25, no. 3 (TRANSACTIONS A: BASICS), pp. 221–229, 2012, [Online]. Available: https://sid.ir/paper/590412/en

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