Heat transfer over an unsteady stretching surface in a micropolar fluid in the presence of magnetic field and thermal radiation

Abstract

The effects of thermal radiation and magnetic field on flow and heat transfer over an unsteady stretching surface in a micropolar fluid are studied. The governing partial differential equations are transformed into a system of ordinary differential equations containing the material parameter K, magnetic parameter M, radiation parameter R, and Prandtl number Pr. These equations are solved numerically by applying a shooting technique, using the Runge–Kutta method. Comparison of the numerical results is made with previously published results under the special cases, and the results are found to be in good agreement. Effects of the material parameter K, magnetic parameter M, radiation parameter R, and Prandtl number Pr on the flow and heat transfer are studied.

Unsteady Flow of Micropolar Maxwell Fluid Over Stretching Surface

“…The tables show an excellent agreement for different settings. Table 1 presents the results for the modified skin friction at = 0 considering the steady state ( = 1) and strong concentration ( = 0) in comparison with Aldawody and Elbashbeshy [14], Qasim et al [16], and Ishak et al [28]. Table 2 considers a weak concentration ( = 0.5).…”

“…Aldawody and Elbashbeshy [14] studied the micropolar fluid considering the effects of the thermal and magnetic parameters. Then, Haque et al [15] presented a numerical solution for the free convection and mass transfer in a porous medium with constant heat and mass flux.…”

“…The -axis is chosen along the stretching surface in the direction of the motion andaxis is normal to it. The mathematical model governing this type of flow can be formulated as follows [7,14]: Equation 1introduces the continuity equation where and are the and components of the fluid velocity, respectively. Equation 2introduces the -momentum of the flow where the microrotation is , the relaxation time parameter is , and the vortex viscosity is .…”