Effect of Mixed Thermal Boundary Conditions and Magnetic Field on Free Convection Flow About a Cone in Micropolar Fluids

A boundary layer analysis has been presented to study the effect of a magnetic field in laminar free convection flow of micropolar fluids about a downpointing cone under mixed thermal boundary conditions. The down-pointing cone forms a body geometry with increasing cross section normal to the direction of flow. The object of the study is to obtain similarity solutions for the boundary layer velocity, angular velocity, and temperature profiles, and to determine the effect of the magnetic field, micropolar parameters, and mixed thermal boundary conditions on the skin friction, wall couple stress, and surface heat flux. The transformation obtained relates the similarity solutions of the boundary layer velocity, microrotation, and temperature profiles associated with different values of the mixed thermal boundary condition parameter. Results shown in tabular and graphical forms indicate that the micropolar fluids display drag and heat transfer rate reduction characteristics.