ORIGINAL PAPER
Effects of Radiation and Eckert Number on MHD Flow with Heat Transfer Rate Near a Stagnation Point Over a Non-Linear Vertical Stretching Sheet
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1
Department of Mathematics, University of Lagos, Akoka, Lagos, Nigeria
 
2
Department of Mathematics, Tai Solarin University of Education, Ogun State, Nigeria
 
3
Department of Mathematics and Statistics, Federal University, Wukari, TarabaState, Nigeria
 
 
Online publication date: 2020-03-12
 
 
Publication date: 2020-03-01
 
 
International Journal of Applied Mechanics and Engineering 2020;25(1):27-36
 
KEYWORDS
ABSTRACT
This work investigates the effects of radiation and Eckert number on an MHD flow with heat transfer rate near a stagnation-point region over a nonlinear vertical stretching sheet. Using a similarity transformation, the governing equations are transformed into a system of ordinary differential equations which are solved numerically using the sixth order Runge-Kutta method with shooting technique. Tabular and graphical results are provided to examine the physical nature of the problem. Heat transfer rate at the surface decreases with radiation, Eckert number and as radiation increases, the flow temperature also increases for velocity ratio parameters ɛ <1 and ɛ >1.
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