**InternationaleJournals**

**MHD Laminar Boundary Layer Flow and Heat Transfer ****over a Moving Cylindrical Rod**

^{1}**K.R. Jaya Kumar and **^{2}**A.T. Eswara**

^{1}Department of Mathematics, K.S. Institute of Technology, Bangalore – 560062, India. E-mail: krjk_maths@yahoo.com

^{2}Department of Mathematics, PES College of Engineering, Mandya – 571401, India. E-mail: eswaram@ymail.com

**ABSTRACT:**

This paper examines the forced convection flow of incompressible, electrically conducting viscous fluid over a moving cylindrical rod with an applied magnetic field. The system of partial differential equations governing the flow and heat transfer is solved using an efficient implicit finite - difference scheme. Numerical computations are performed for air (Pr = 0.7) and displayed graphically to illustrate the influence of relevant physical parameters on local skin friction and heat transfer coefficients and, also on, velocity and temperature fields. It is observed that the magnetic field increases both the coefficients of skin friction and heat transfer. Further, it reduces the thickness of momentum and thermal boundary layers. Also, the results indicate that the viscous dissipation is found to have a pronounced effect on heat transfer coefficient and thermal transport in the boundary layer region.

**Keywords: **Magnetic field, Skin friction coefficient, Viscous dissipation, Heat transfer coefficient

**International
eJournal of Mathematics and Engineering**

**Volume 4,
Issue ****3,** **Pages: ** 2281 - 2290