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Mixed convection in the stagnation-point flow of a Maxwell fluid towards a vertical stretching surface

Abbas, Z. and Wang, Yongqi and Hayat, T. and Oberlack, Martin (2010):
Mixed convection in the stagnation-point flow of a Maxwell fluid towards a vertical stretching surface.
In: Nonlinear Analysis: Real World Applications, Elsevier Science, pp. 3218 - 3228, 11, (4), ISSN 1468-1218,
DOI: 10.1016/j.nonrwa.2009.11.016,
[Online-Edition: http://www.sciencedirect.com/science/article/pii/S1468121809...],
[Article]

Abstract

In the present analysis, we study the steady mixed convection boundary layer flow of an incompressible Maxwell fluid near the two-dimensional stagnation-point flow over a vertical stretching surface. It is assumed that the stretching velocity and the surface temperature vary linearly with the distance from the stagnation-point. The governing nonlinear partial differential equations have been reduced to the coupled nonlinear ordinary differential equations by the similarity transformations. Analytical and numerical solutions of the derived system of equations are developed. The homotopy analysis method (HAM) and finite difference scheme are employed in constructing the analytical and numerical solutions, respectively. Comparison between the analytical and numerical solutions is given and found to be in excellent agreement. Both cases of assisting and opposing flows are considered. The influence of the various interesting parameters on the flow and heat transfer is analyzed and discussed through graphs in detail. The values of the local Nusselt number for different physical parameters are also tabulated. Comparison of the present results with known numerical results of viscous fluid is shown and a good agreement is observed.

Item Type: Article
Erschienen: 2010
Creators: Abbas, Z. and Wang, Yongqi and Hayat, T. and Oberlack, Martin
Title: Mixed convection in the stagnation-point flow of a Maxwell fluid towards a vertical stretching surface
Language: English
Abstract:

In the present analysis, we study the steady mixed convection boundary layer flow of an incompressible Maxwell fluid near the two-dimensional stagnation-point flow over a vertical stretching surface. It is assumed that the stretching velocity and the surface temperature vary linearly with the distance from the stagnation-point. The governing nonlinear partial differential equations have been reduced to the coupled nonlinear ordinary differential equations by the similarity transformations. Analytical and numerical solutions of the derived system of equations are developed. The homotopy analysis method (HAM) and finite difference scheme are employed in constructing the analytical and numerical solutions, respectively. Comparison between the analytical and numerical solutions is given and found to be in excellent agreement. Both cases of assisting and opposing flows are considered. The influence of the various interesting parameters on the flow and heat transfer is analyzed and discussed through graphs in detail. The values of the local Nusselt number for different physical parameters are also tabulated. Comparison of the present results with known numerical results of viscous fluid is shown and a good agreement is observed.

Journal or Publication Title: Nonlinear Analysis: Real World Applications
Volume: 11
Number: 4
Publisher: Elsevier Science
Uncontrolled Keywords: Stagnation-point flow; Maxwell fluid; Heat transfer; Stretching sheet; HAM solution; Numerical solution
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
Exzellenzinitiative
Exzellenzinitiative > Clusters of Excellence
Zentrale Einrichtungen
Exzellenzinitiative > Clusters of Excellence > Center of Smart Interfaces (CSI)
Date Deposited: 24 Aug 2011 18:12
DOI: 10.1016/j.nonrwa.2009.11.016
Official URL: http://www.sciencedirect.com/science/article/pii/S1468121809...
Additional Information:

DOI: 10.1016/j.nonrwa.2009.11.016

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