Thermal Science 2014 Volume 18, Issue 4, Pages: 1079-1093
https://doi.org/10.2298/TSCI111102144S
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Heat transfer for two types of viscoelastic fluid over an exponentially stretching sheet with variable thermal conductivity and radiation in porous medium
Singh V. (Moradabad Institute of Technology, Department of Applied Sciences, Moradabad, Uttar Pradesh, India)
Agarwal Shweta (Hindu College, Department of Mathematics, Moradabad, Uttar Pradesh, India)
An Analysis has been carried out to study the boundary layer flow and heat
transfer characteristics of second order fluid and second grade fluid with
variable thermal conductivity and radiation over an exponentially stretching
sheet in porous medium. The basic boundary layer equations governing the flow
and heat transfer in prescribed surface temperature (PST) and prescribed heat
flux (PHF) cases are in the form of partial differential equations. These
equations are converted to non-linear ordinary differential equations using
similarity transformations. Numerical solutions of the resulting boundary
value problem are solved by using the fourth order Runge-Kutta method with
shooting technique for various values of the physical parameters. The effect
of variable thermal conductivity, porosity, Prandtl number, radiation
parameter and viscoelastic parameters on velocity and temperature profiles
(in PST and PHF cases) are analyzed and discussed through graphs. Numerical
values of wall temperature gradient in PST case and wall temperature in PHF
case are obtained and tabulated for various values of the governing
parameters. In this study Prandtl number also treated as variable inside the
boundary layer because it depends on thermal conductivity. The results are
also verified by using finite difference method.
Keywords: second grade fluid, second order fluid, porous medium, exponentially stretching sheet, radiation
The authors are thankful to
the Council of Scientific and Industrial Research, New Delhi, for providing
financial support through Grant No. 08/043(0005)/2008-EMR-1