PRESENCE OF THERMAL RADIATION ON MHD BOUNDARY LAYER FLOW OF A MICROPOLAR FLUID OVER A STRETCHING SURFACE WITH VELOCITY SLIP AND TEMPERATURE JUMP
YAHAYA SHAGAIYA DANIEL *
Department of Mathematics, Kaduna State University, Nigeria.
*Author to whom correspondence should be addressed.
In this paper, we investigated on analytical solutions for the steady two-dimensional MHD boundary layer flow of a micropolar fluid over a stretching surface with effects of thermal radiation, velocity slip and temperature jump is presented. Similarity transformations method used to transform the physical boundary layer equations to highly nonlinear differential equations are non-dimensionalized, and then solved analytically namely homotopy analysis method. The influences of involved physical parameters such as velocity slip, temperature jump, thermal radiation, Prandtl number, magnetic parameter, microrotation parameter, thermal conductivity parameter, and Eckert number on velocity, microrotation and temperature distribution are presented graphical and analyzed. The results obtained are validated with available results in literature for limit sense shows excellent agreement. For velocity slip parameter increases as the velocity decreases, whereas the temperature jump parameter increases as the temperature increases. An increasing in radiation parameter results to increase in the velocity distribution.
Keywords: Thermal radiation, homotopy analysis method, boundary layer slip flow, thermal conductivity, micropolar, MHD