A STUDY ON NON LINEAR CONVECTION IN INTERNAL AND EXTERNAL FLOWS WITH EITHER SORET OR DUFOUR EFFECT
A STUDY ON NON LINEAR CONVECTION IN INTERNAL AND EXTERNAL FLOWS WITH EITHER SORET OR DUFOUR EFFECT
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Date
2023-03
Authors
MUHAMMAD, NASIRU SARKI
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Abstract
In this study, fully developed steady nonlinear free convection heat and mass transfer flow near a vertical moving porous plate with chemical reaction, in the presence of Dufour and Soret effectshave been analytically investigated, by taking into consideration the nonlinear convection parameter. The dimensionless momentum, temperature and concentration equations for the present physical situation arepresented under relevant boundary conditions and solved exactly in terms of exponential functions. The effect of various flow parameters entering into the problem such as nonlinear density variation with temperature parameter, nonlinear density variation with concentration parameter, Soret effect, Dufoureffect, Prandtl number, Schmidt number, chemical reaction parameter and sustentation parameter are discussed with the aid of line graphs, contours and tables. The analysis of the result shows that the velocity and skin-friction have higher values in case of nonlinear variation of density with temperature and concentration in comparison to linear variation of density with temperature and concentration. It has beenobserved that the velocity and skin-friction increase withincrease in Soret and Dufour parameters.
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A THESIS SUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA, IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE AWARD OF DOCTOR OF PHILOSOPHY DEGREE IN MATHEMATICS DEPARTMENT OF MATHEMATICS, FACULTY OF PHYSICAL SCIENCES, AHMADU BELLO UNIVERSITY, ZARIA, NIGERIA