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Mixed convection flow of second grade fluid with variable
heat flux past a vertically stretching flat surface
Mushtaq M.,
Muhammad A*,
Asghar S.,
Hossain M. A
Department
of Mathematics, COMSATS Institute of Information Technology,
Islamabad-Pakistan.
Department
of Mathematics, King Abdul Aziz University, Jeddah, Saudi
Arabia.
Department
of Mathematics, University of Dhaka, Dhaka, Bangladesh.
*Corresponding author. E-mail:
mashraf682003@yahoo.com.
Accepted
3 April, 2012 |
In the present investigation, a numerical study of
the flow and heat transfer analysis of viscoelastic
second grade fluid due to heated, continuous
stretching of a vertical sheet has been carried out.
The stretching velocity is assumed to vary linearly
with the distance measured from the leading edge.
The surface heat flux is assumed to be varied in
power of distance measured from the leading edge.
The governing differential equations are transformed
by introducing proper non-similarity variables and
solved numerically using two different methods,
namely, the local non-similarity method with second
level of truncation and the implicit finite
difference method for values of ξ (=Grx/Rex2)
ranging from 0 to 10. The comparisons of the results
obtained by the aforementioned methods are found in
excellent agreement. Effects of the viscoelastic
parameter, λ (Deborah number) on the
skin-friction and the heat transfer coefficients
have been shown graphically for the fluid with
Prandtl number equal to 0.7, 7.03 and 15.0.
Keywords: Mixed convection, second grade
fluid, stretching flat surface and variable surface
heat flux.
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