Heat transfer in magnetohydrodynamic flow near a stagnation point

Summary

Steady, axisymmetric, magnetohydrodynamic flow with a stagnation point on an infinite plane wall is considered with a magnetic field applied normal to the wall. Solutions are obtained in the form of series for the velocity, magnetic field and temperature when the magnetic field parameter (γ) and the ratio of viscosity to magnetic diffusivity (ε) are small. The caseγ=O(1) is considered briefly when solutions which Meyer³⁾ obtained by physical order-of-magnitude arguments are derived mathematically as expansions inε. Some remarks are made on the consistency of extending the results to flow within the boundary layer near the nose of a bluff body.