Melting heat transfer in boundary layer stagnation-point flow towards a stretching/shrinking sheet in a micropolar fluid

The steady boundary layer stagnation-point flow of a micropolar fluid towards a horizontal linearly stretching/shrinking sheet is investigated. A mathematical model is developed to study the heat transfer characteristics occurring during the melting process due to a stretching/shrinking sheet. The transformed non-linear ordinary differential equations governing the flow are solved numerically by the Runge–Kutta–Fehlberg method with shooting technique. It is found that dual solutions exist for the shrinking case, while for the stretching case, the solution is unique.     

Resonant oscillations of a plate in an electrically conducting rotating Johnson-Segalman fluid

An analysis of hydromagnetic flow is examined in a semi-infinite expanse of electrically conducting rotating Johnson-Segalman fluid bounded by nonconducting plate in the presence of a transverse magnetic field and the governing equations are modeled first time. The structure of the velocity distribution and the associated hydromagnetic boundary layers are investigated including the case of resonant oscillations. It is shown that unlike the hydrodynamic situation for the case of resonance, the hydromagnetic steady solution satisfies the boundary condition at infinity. The inherent difficulty involved in the hydrodynamic resonance case has been resolved in the presence analysis.