Boundary Layer Flow and Heat Transfer for a Third Grade Fluid over a Nonlinear Radially Stretching Sheet

Masood KHAN; Asif MUNIR; Azeem SHAHZAD

Authors

Masood KHAN Department of Mathematics, Quaid-i-Azam University, Islamabad 44000
Asif MUNIR Department of Mathematics, Quaid-i-Azam University, Islamabad 44000
Azeem SHAHZAD Department of Mathematics, Quaid-i-Azam University, Islamabad 44000

Keywords:

Heat transfer, third grade fluid, radially stretching sheet, boundary layer, stretching sheet

Abstract

The steady axisymmetric flow and heat transfer of a thermodynamically compatible third grade fluid over an isothermal radially stretching sheet is investigated. A nonlinear stretching sheet is considered. The governing boundary layer equations for velocity and temperature fields are reduced to a system of ordinary differential equations by using appropriate similarity transformations. The resulting equations are then solved analytically by the homotopy analysis method (HAM). The developed analytical expressions for the velocity and temperature fields are graphically presented and influence of the pertinent parameters on the velocity and thermal boundary layers are discussed in detail. In addition, the skin friction coefficient and local Nusselt number are tabulated for several influential parameters. Increases in viscoelastic and third grade parameter increase the boundary layer thickness, whereas the cross-viscous parameter decreases the boundary layer thickness. Discrete squared residual has been plotted for the different order of approximations and the results have been plotted with the maximum accuracy.

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