Three-dimensional flow of Oldroyd-B fluid over surface with convective boundary conditions

doi:10.1007/s10483-013-1685-9

Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (4): 489-500.doi: https://doi.org/10.1007/s10483-013-1685-9

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Three-dimensional flow of Oldroyd-B fluid over surface with convective boundary conditions

T. HAYAT^1,2, S. A. SHEHZAD¹, A. ALSAEDI², M. S. ALHOTHUALI²

1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
2. Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Online:2013-04-03 Published:2013-04-03
Contact: S. A. SHEHZAD E-mail:ali_qau70@yahoo.com

Abstract

Abstract:

The present study addresses the three-dimensional flow of an Oldroyd-B fluid over a stretching surface with convective boundary conditions. The problem formulation is presented using the conservation laws of mass, momentum, and energy. The solutions to the dimensionless problems are computed. The convergence of series solutions by the homotopy analysis method (HAM) is discussed graphically and numerically. The graphs
are plotted for various parameters of the temperature profile. The series solutions are verified by providing a comparison in a limiting case. The numerical values of the local Nusselt number are analyzed.

Key words: tumor angiogenesis; discrete mathematical model;nine-point scheme;numerical simulation, Oldroyd-B fluid, convective boundary condition, three-dimensional flow

T. HAYAT; S. A. SHEHZAD; A. ALSAEDI; M. S. ALHOTHUALI. Three-dimensional flow of Oldroyd-B fluid over surface with convective boundary conditions. Applied Mathematics and Mechanics (English Edition), 2013, 34(4): 489-500.

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Three-dimensional flow of Oldroyd-B fluid over surface with convective boundary conditions

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