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Journal of Applied Mechanics and Technical Physics

2016 year, number 3

Three-Dimensional Flow of a Viscoelastic Fluid on an Exponentially Stretching Surface

M. Bilal Ashraf1, T. Hayat2,3, S. A. Shehzad4, H. Malaikah3
1COMSATS Institute of Information Technology, Kant 47,070 Wah, Pakistan
2Quaid-i-Azam University, 45320, Islamabad 44000, Pakistan
3Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Islamabad 44000, Pakistan
4King Abdulaziz University, Jeddah 21589, Saudi Arabia
Keywords: вязкоупругая жидкость, экспоненциально растягивающаяся поверхность, теплообмен, viscoelastic fluid, exponentially stretching surface, heat transfer

Abstract

An analysis of a three-dimensional viscoelastic fluid flow over an exponentially stretching surface is carried out in the presence of heat transfer. Constitutive equations of a second-grade fluid are employed. The governing boundary layer equations are reduced by appropriate transformations to ordinary differential equations. Series solutions of these equations are found, and their convergence is discussed. The influence of the prominent parameters involved in the heat transfer process is analyzed. It is found that the effects of the Prandtl number, viscoelastic parameter, velocity ratio parameter, and temperature exponent on the Nusselt number are qualitatively similar.