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Unsteady/Steady Free Convective Couette Flow of Reactive Viscous Fluid in a Vertical Channel Formed by Two Vertical Porous Plates
Author(s) -
Basant K. Jha,
Ahmad K. Samaila,
Abiodun O. Ajibade
Publication year - 2012
Publication title -
isrn thermodynamics
Language(s) - English
Resource type - Journals
eISSN - 2090-5211
pISSN - 2090-5203
DOI - 10.5402/2012/794741
Subject(s) - mechanics , couette flow , porous medium , convection , steady state (chemistry) , fluid dynamics , viscous liquid , perturbation (astronomy) , computation , flow (mathematics) , nonlinear system , physics , classical mechanics , materials science , porosity , geology , mathematics , geotechnical engineering , chemistry , algorithm , quantum mechanics
This paper presents unsteady as well as steady-state free convection Couette flow of reactive viscous fluid in a vertical channel formed by two infinite vertical parallel porous plates. The motion of the fluid is induced due to free convection caused by the reactive nature of viscous fluid as well as the impulsive motion of one of the porous plates. The Boussinesq assumption is applied, and the nonlinear governing equations of motion and energy are developed. The time-dependent problem is solved using implicit finite difference method, and steady-state problem is solved by applying regular perturbation technique. During the course of computation, an excellent agreement was found between the well-known steady-state solutions and transient solutions at large value of time.

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