MHD three-dimensional flow of Jeffrey fluid with Newtonian heating

S. A. Shehzad¹, T. Hayat^{1, 2}, M.S. Alhuthali², S. Asghar³

(1. Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan;
2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science,
King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;
3. Department of Mathematics, Comsats Institute of Information Technology, Park Road Chak Shahzad,
Islamabad 44000, Pakistan)

Abstract:The magnetohydrodynamic (MHD) three-dimensional flow of Jeffrey fluid in the presence of Newtonian heating is investigated. Flow is caused by a bidirectional stretching surface. Series solutions are constructed for the velocity and temperature fields. Convergence of series solutions is ensured graphically and numerically. The variations of key parameters on the physical quantities are shown and discussed in detail. Constructed series solutions are compared with the existing solutions in the limiting case and an excellent agreement is noticed. Nusselt numbers are computed with and without magnetic fields. It is observed that the Nusselt number decreases in the presence of magnetic field.

Key words:three-dimensional flow; Jeffrey fluid; Newtonian heating