@ARTICLE{Kumari_Mahesh_Compressible_2000, author={Kumari, Mahesh and Nath, Girishwar}, volume={vol. 47}, number={No 4}, journal={Archive of Mechanical Engineering}, pages={289-309}, howpublished={online}, year={2000}, publisher={Polish Academy of Sciences, Committee on Machine Building}, abstract={The effect of large injection rates on the steady laminar compressible boundary layer in the front stagnation-point region of a rotating sphere with a magnetic field has been studied. The effect of variable gas properties, non-unity Prandtl number and viscous dissipation are included in the analysis. The nonlinear coupled ordinary differential equations governing the flow are first linearized using the quasilinearization technique, and the resulting system of linear equations are then solved using an implicit finite-difference scheme with non-uniform step size. For large injection rates, analytical expressions for the surface shear stresses in the longitudinal and rotating directions and the surface heat transfer are also obtained using an approximate method. For large injection rates, the surface heat transfer tends to zero, but the surface shear stresses in the longitudinal and rotating directions remain finite but small. The surface shear stresses and the surface heat transfer decrease with increasing rate of injection, but they increase with the magnetic field and the rotation parameter. The magnetic field or the rotation parameter induces an overshoot in the longitudinal velocity profile and the magnitude of the velocity overshoot increases significantly with the rotation parameters and the injection parameter. The location of the dividing streamline moves away from the boundary with increasing injection rate, but it moves towards the boundary with increasing magnetic and rotation parameters.}, type={Article}, title={Compressible boundary layer flow in the stagnation region of a rotating sphere with large injection rates and a magnetic field}, URL={http://journals.pan.pl/Content/125383/PDF/3_MECHANICAL_47_2000_4_Kumari_Compressible.pdf}, keywords={boundary layer flow, rotating sphere, large injection, magnetic field}, }