Machireddy Gnaneswara Reddy, Gorla Rama Subba Reddy

Frontiers in Heat and Mass Transfer (FHMT) 8 - 20 (2017)

The objective of the present communication is to study the problem of micropolar fluid flow with temperature dependent thermal conductivity over a nonlinear stretching convective vertical surface in the presence of Lorentz force and viscous dissipation. Due to the nature of heat transfer in the flow past vertical surface, Cattaneo-Christov heat flux model and Joule heating effects are properly accommodated in the energy equation. The governing partial differential equations for the flow and heat transfer are converted into a set of ordinary differential equations by employing the acceptable similarity transformations.  Runge-Kutta and Newton’s methods are utilized to resolve the altered governing nonlinear equations. Obtained numerical results are compared with the available literature and found to be an excellent agreement. The impacts of dimensionless governing flow pertinent parameters on velocity, micropolar velocity and temperature profiles are presented graphically and analyzed in detail.  Further, the variations of skin friction coefficient and local Nusselt number are displayed for the sundry flow parameters. It is found that fluid temperature profile declines for larger thermal relaxation parameter. Both temperature and thermal boundary layer thickness decreases for enhancing values of Prandtl number.