Heat Transfer for MHD Second Grade Fluid Flow over a Porous Nonlinear Radially Stretching Sheet

• Main Authors: Asif MUNIR, Azeem SHAHZAD, Masood KHAN
• Format: Article
• Language: English
• Published: Walailak University 2014-05-01
• Series: Walailak Journal of Science and Technology
• Subjects: Heat transfer; second grade fluid; radially stretching sheet
• Online Access: http://wjst.wu.ac.th/index.php/wjst/article/view/929

The heat transfer for the steady axisymmetric flow of a second grade fluid over an isothermal radially stretching porous sheet is investigated. A power law stretching of sheet is assumed, while the fluid is electrically conducting in the presence of a transverse magnetic field. Appropriate similarity transformations are introduced to reduce the resulting highly non-linear partial differential equations into ordinary differential equations, which are then solved analytically by the homotopy analysis method (HAM) and numerically by the shooting method using the adaptive Runge Kutta method with Broyden's method. The developed analytical expressions for the temperature field are graphically presented and the influence of pertinent parameters on the thermal boundary layer is discussed in detail. To check the reliability of the HAM results, a comparison is made with numerical results. An excellent agreement is observed between the 2 sets of results. In addition, the local Nusselt number is tabulated for several influential parameters. doi:10.14456/WJST.2015.58