Paper Information

Journal:   JOURNAL OF APPLIED FLUID MECHANICS (JAFM)   2016 , Volume 9 , Number 5; Page(s) 2605 To 2619.
 
Paper: 

UNSTEADY BOUNDARY LAYER FLOW OVER A VERTICAL SURFACE DUE TO IMPULSIVE AND BUOYANCY IN THE PRESENCE OF THERMAL-DIFFUSION AND DIFFUSION-THERMO USING BIVARIATE SPECTRAL RELAXATION METHOD

 
 
Author(s):  MOTSA S.S., ANIMASAUN I.L.*
 
* DEPARTMENT OF MATHEMATICAL SCIENCES, FEDERAL UNIVERSITY OF TECHNOLOGY, AKURE, ONDO STATE NIGERIA
 
Abstract: 

In this article, unsteady boundary layer flow formed over a vertical surface due to impulsive mo-tion and buoyancy is investigated. The mathematical model which properly accounts for space and temperature-dependent internal heat source in a flowing fluid is incorporated into the energy equa-tion. This model is presented in this study as a term which accounts for two different forms of internal heat generation during the short time period and long time period. Due to the fluid flow under consideration, the influence of thermal-diffusion and diffusion-thermo are incorporated into the governing equation since it may not be realistic to assume that both effects are of smaller order of magnitude than the effects described by Fourier’s or Fick’s law. The corresponding effect of in-ternal heat source on viscosity is considered, the viscosity is assumed to vary as a linear function of temperature. The flow model is described in terms of a highly coupled and nonlinear system of partial differential equations. The governing equations are nondimensionalized by using suitable similarity transformation which unraveled the behavior of the fluid flow at short time and long time periods. The dimensionless system of non-linear coupled partial differential equations (PDEs) is solved using Bivariate Spectral Relaxation Method (BSRM). A parametric study of selected parameters is conducted and results of the surface shear stress, heat transfer and mass transfer at the wall are illustrated graphically and physical aspects of the problem are discussed.

 
Keyword(s): UNSTEADY, MIXED CONVECTION, IMPULSIVE MOTION, VARIABLE VISCOSITY, BIVARIATE SPECTRAL RELAXATION METHOD, SPACE-HEAT SOURCE
 
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