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Flow of an Eyring-Powell Fluid with Convective Boundary Conditions

Published online by Cambridge University Press:  20 December 2012

T. Hayat
Affiliation:
Department of Mathematics, Quaid-i-Azam University, 45320 Islamabad 44000, Pakistan Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Z. Iqbal*
Affiliation:
Department of Mathematics, Quaid-i-Azam University, 45320 Islamabad 44000, Pakistan
M. Qasim
Affiliation:
Department of Mathematics, COMSATS Institute of Information Technology (CIIT), Islamabad 44000, Pakistan
A. Alsaedi
Affiliation:
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
*
*Corresponding author ([email protected])
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Abstract

The boundary layer flow of an Eyring-Powell fluid over a stretching surface subject to the convective boundary condition is investigated. Nonlinear problem is computed and a comparative study is presented with the existing results in viscous fluid. The constructed differential systems have been solved for homotopic solutions. Convergence of series solutions has been discussed. Special emphasis has been given to the effects of material parameters of fluid (ε), (δ), Biot number (γ) and Prandtl number (Pr) on the velocity and temperature profiles. Tabulated values of Nusselt number and skin friction for different emerging parameters are also illustrated. It is noted that the boundary layer thickness is an increasing function of (ε) and decreasing function of (δ). However the temperature and thermal boundary layer thickness decrease when the values of (ε) and (δ) are increased.

Type
Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2013

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References

REFERENCES

1.Wang, S. and Tan, W. C., “Stability Analysis of Double-Diffusive Convection of Maxwell Fluid in a Porous Medium Heated from Below,” Physics Letters A, 372, pp. 30463050 (2008).Google Scholar
2.Fetecau, C., Zierep, J., Bohning, R. and Fetecauc, C., “On the Energetic Balance for the Flow of an Oldroyd-B Fluid Due to a Flat Plate Subject to a Time-Dependent Shear Stress,” Computers & Mathematics with Applications, 60, pp. 7482 (2010).Google Scholar
3.Sajid, M., Iqbal, Z., Hayat, T. and Obaidat, S., “Series Solution for Rotating Flow of an UCM Fluid Over a Stretching Sheet,” Communications in Theoretical Physics, 56, pp. 740744 (2011).Google Scholar
4.Hayat, T. and Qasim, M., “Influence of Thermal Radiation and Joule Heating on MHD Flow of a Maxwell Fluid in the Presence of Thermophoresis,” International Journal Heat and Mass Transfer, 53, pp. 47804788 (2010).Google Scholar
5.Hayat, T., Iqbal, Z. and Mustafa, M., “Flow of a Second Grade Fluid Over a Stretching Surface with Newtonian Heating,” Journal of Mechanics, 28, pp. 209216 (2012).Google Scholar
6.Powell, R. E. and Eyring, H., Nature, London p. 427 (1944).Google Scholar
7.Eldabe, N. T. M., Hassan, A. A. and Mohamed, Mona A. A., “Effect of Couple Stresses on the MHDof a Non-Newtonian Unsteady Flow Between Two Parallel Porous Plates,” Zeitschrift Naturforschung A, 58, pp. 204210 (2003).Google Scholar
8.Hayat, T., Iqbal, Z., Qasim, M. and Obaidat, S., “Steady Flow of an Eyring Powell Fluid Over a Moving Surface with Convective Boundary Conditions,” International Journal Heat and Mass Transfer, 55, pp. 18171822 (2012).Google Scholar
9.Islam, S., Shah, A., Zhou, C. Y. and Ali, I., “Homotopy Perturbation Analysis of Slider Bearing with Powell-Eyring Fluid,” Zeitschrift für angewandte Mathematik und Physikm, 60, pp. 11781193 (2009).Google Scholar
10.Patel, M. and Timol, M. G., “Numerical Treatment of Powell-Eyring Fluid Flow Using Method of Satisfaction of Asymptotic Boundary Conditions (MSABC),” Applied Numerische Mathematik, 59, pp. 25842592 (2009).Google Scholar
11.Crane, L. J., “Flow Past a Stretching Plate,” Journal of Applied Mathematics and Physics, 21, pp. 645647 (1970).Google Scholar
12.Gupta, P. S. and Gupta, A. S., “Heat and Mass Transfer on a Stretching Sheet with Suction or Blowing,” Canadian Journal of Chemical Engineers, 55, pp. 744746 (1977).Google Scholar
13.Soundalgekar, V. M. and Murty, T. V. R., “Heat Transfer in the Flow Past a Continuous Moving Plate with Variable Temperature,” Wärme und Stof-fübertragung, 14, pp. 9193 (1980).Google Scholar
14.Ariel, P. D., “Extended Homotopy Perturbation Method and Computation of Flow Past a Stretching Sheet,” Computers & Mathematics with Applications, 58, pp. 24022409 (2009).Google Scholar
15.Hayat, T., Qasim, M. and Abbas, Z., “Radiation and Mass Transfer Effects on the Magnetohydrodynamic Unsteady Flow Induced by a Stretching Sheet,” Zeitschrift Naturforschung A, 65, pp. 231239 (2010).Google Scholar
16.Fang, T., Zhang, J. and Yao, S., “Slip MHD Viscous Flow Over a Stretching Sheet: An Exact Solution,” Communications in Nonlinear Science and Numerical Simulation, 14, pp. 27313737 (2009).Google Scholar
17.Hayat, T., Abbas, Z., Pop, I. and Asghar, S., “Effects of Radiation and Magnetic Field on the Mixed Convection Stagnation-Point Flow Over a Vertical Stretching Sheet in a Porous Medium,” International Journal Heat and Mass Transfer, 53, pp. 466474 (2010).Google Scholar
18.Yao, S., Fang, T. and Zhong, Y., “Heat Transfer of a Generalized Stretching/Shrinking Wall Problem with Convective Boundary Conditions,” Communications in Nonlinear Science and Numerical Simulation, 16, pp. 752760 (2011).Google Scholar
19.Aziz, A., “A Similarity Solution for Laminar Thermal Boundary Layer Over a Flat Plate with a Convective Surface Boundary Condition,” Communications in Nonlinear Science and Numerical Simulation, 14, pp. 10641068 (2009).Google Scholar
20.Magyari, E., Comment on “A Similarity Solution for Laminar Thermal Boundary Layer Over a Flat Plate with a Convective Surface Boundary Condition by A. Aziz,” Communications in Nonlinear Science and Numerical Simulation, 16, pp. 599601 (2011).Google Scholar
21.Ishak, A., “Similarity Solutions for Flow and Heat Transfer Over a Permeable Surface with Convective Boundary Condition,” Applied Mathematics Computational, 217, pp. 837842 (2010).Google Scholar
22.Liao, S. J., “Notes on the Homotopy Analysis Method: Some Definitions and Theroems,” Communications in Nonlinear Science and Numerical Simulation, 14, pp. 983997 (2009).Google Scholar
23.Hashim, I., Abdulaziz, O. and Momani, S., “Homotopy Analysis Method for Fractional IVPs,” Communications in Nonlinear Science and Numerical Simulation, 14, pp. 674684 (2009).Google Scholar
24.Bataineh, A. S., Noorani, M. S. M. and Hashim, I., “On a New Reliable Modification of Homotopy Analysis Method,” Communications in Nonlinear Science and Numerical Simulation, 14, pp. 409423 (2009).CrossRefGoogle Scholar
25.Abbasbandy, S. and Shivanian, E., “A New Application of the Homotopy Analysis Method: Solving the Sturm-Liouville Problems,” Communications in Nonlinear Science and Numerical Simulation, 16, pp. 112126 (2011).Google Scholar
26.Hayat, T., Iqbal, Z., Qasim, M. and Hendi, Awatif A., “Heat Transfer in a Couple Stress Fluid Over a Continuous Moving Surface with Internal Heat Generation and Convective Boundary Conditions,” Zeitschrift Naturforschung A, 67, pp. 217224 (2012).Google Scholar
27.Mukhopadhyay, S., “Effect of Thermal Radiation on Unsteady Mixed Convection Flow and Heat Transfer Over a Stretching Surface in a Porous Medium,” International Journal Heat and Mass Transfer, 52, pp. 32613265.CrossRefGoogle Scholar