Effects of Hall Current on MHD Boundary Layer Second-Order Viscoelastic Fluid Flow Induced by a Continuous Surface with Heat Transfer
- 1 Faculty of Numerical Sciences, Islamia College University, Peshawar, Pakistan
- 2 Faculty of Numerical Sciences, Islamia College University, Peshawar, Pakistan
- 3 Faculty of Numerical Sciences, Islamia College University, Peshawar, Pakistan
- 4 Faculty of Numerical Sciences, Islamia College University, Peshawar, Pakistan
Abstract
Effects of Hall current on heat transfer and magnetohydrodynamic (MHD) boundary layer flow induced by a continuous surface in a parallel free stream of a second-order viscoelastic fluid are studied for uniform suction/injection by taking viscous dissipation into account. Complex nonsimilar solutions to the stream function and temperature are developed by means of an elegant technique, known as homotopy analysis method (HAM). Convergence of the solutions is ensured with the help of -curves. Graphical and tabular results for the effects of Hall current reveal that it has a significant influence on: complex velocity, complex temperature, magnitude of the shear stress at the surface, magnitude of the rate of heat transfer at the surface and on boundary layer thickness.
- Cramer, K. and Pai, S. (1973) Magnetofluid Dynamics for Engineers and Applied Physicists. McGraw-Hill, New York.
- Zaman, H. (2013) Hall Effects on the Unsteady Incompressible MHD Fluid Flow with Slip Conditions and Porous Walls. Applied Mathematics and Physics, 1, 31-38.
- Ayub, M., Zaman, H. and Ahmad, M. (2010) Series Solution of Hydromagnetic Flow and Heat Transfer with Hall Effect in a Second Grade Fluid over a Stretching Sheet. Central European Journal of Physics, 8, 135-149. http://dx.doi.org/10.2478/s11534-009-0110-0
- Ahmad, M., Zaman, H. and Rehman, N. (2010) Effects of Hall Current on Unsteady MHD Flows of a Second Grade Fluid. Central European Journal of Physics, 8, 422-431. http://dx.doi.org/10.2478/s11534-009-0083-z
- Hayat, T., Zaman, H. and Ayub, M., (2010) Analytic Solution of Hydromagnetic Flow with Hall Effect over a Surface Stretching with a Power Law Velocity. Numerical Methods for Partial Differential Equations, 27, 937-959. http://dx.doi.org/10.1002/num.20562
- Hayat, T., Naz., R. and Asghar, S. (2004) Hall Effects on Unsteady Duct Flow of a Non-Newtonian Fluid in a Porous Medium. Applied Mathematics and Computation, 157, 103-114. http://dx.doi.org/10.1016/j.amc.2003.08.069
- Asghar, S., Mohyuddin R.M. and Hayat, T. (2005) Effects of Hall Current and Heat Transfer on Flow Due to a Pull of Ecentric Rotating Disks. International Journal of Heat and Mass Transfer, 48, 599-607. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2004.08.023
- Khan, M., Asghar S. and Hayat, T. (2009) Hall Effect on the Pipe Flow of a Burgers’ Fluid: An Exact Solution. Nonlinear Analysis: Real World Applications, 10, 974-979. http://dx.doi.org/10.1016/j.nonrwa.2007.11.016
- Abo-Eldahab, E.M. and Elbarbary, M.E. (2001) Hall Current Effect on Magnetohydrodynamic Free Convection Flow past a Semi-Infinite Vertical Plate with Mass Transfer. International Journal of Engineering Science, 39, 1641-1652. http://dx.doi.org/10.1016/S0020-7225(01)00020-9
- Abo-Eldahab, E.M. and Abd El Aziz, M. (2004) Hall Current and Ohmic Heating Effects on Mixed Convection Boundary Layer Flow of a Micropolar Fluid from a Rotating Cone with Power Law Variation in Surface Temperature. International Communications in Heat and Mass Transfer, 31, 751-762. http://dx.doi.org/10.1016/S0735-1933(04)00062-4
- Debnath, L., Ray, S.C. and Chatterjee, A.K. (1979) Effects of Hall Current on Unsteady Hydromagnetic Flow past a Porous Plate in a Rotating Fluid System. ZAMM-Zeitschrift für Angewandte Mathematik und Mechanik, 59, 469-471. http://dx.doi.org/10.1002/zamm.19790590910