Thermal Radiation, Heat Source/Sink and Work Done by Deformation Impacts on MHD Viscoelastic Fluid over a Nonlinear Stretching Sheet ()

F. M. Hady, R. A. Mohamed, Hillal M. ElShehabey

Mathematics Department, Faculty of Science, Assiut University, Assiut, Egypt.

Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt.

**DOI: **10.4236/wjm.2013.34020
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Mathematics Department, Faculty of Science, Assiut University, Assiut, Egypt.

Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt.

This work is focused on the effects of heat source/sink, viscous
dissipation, radiation and work done by deformation on flow and heat transfer
of a viscoelastic fluid over a nonlinear stretching sheet. The similarity
transformations have been used to convert the governing partial differential
equations into a set of nonlinear ordinary differential equations. These
equations are then solved numerically using a very efficient implicit finite
difference method. Favorable comparison with previously published work is
performed and it is found to be in excellent agreement. The results of this
parametric study are shown in several plots and tables and the physical aspects
of the problem are highlighted and discussed.

Keywords

Flow and Heat Transfer; Second Grade Fluid; Nonlinear Stretching Sheet; Heat Source; Radiation

Share and Cite:

F. Hady, R. Mohamed and H. ElShehabey, "Thermal Radiation, Heat Source/Sink and Work Done by Deformation Impacts on MHD Viscoelastic Fluid over a Nonlinear Stretching Sheet," *World Journal of Mechanics*, Vol. 3 No. 4, 2013, pp. 203-214. doi: 10.4236/wjm.2013.34020.

Conflicts of Interest

The authors declare no conflicts of interest.

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