Structure of a point heat source near an interface (Q1096503)

An asymptotic solution of a hydromagnetic flow problem near a point heat source, which is governed by the Oseen Boussinesq approximation, is presented. Two cases are discussed in particular, one which involves a motion of the heat source beneath a free surface and other near a rigid boundary. The thermal boundary conditions on these two interfaces are assumed to be that of the mixed Cauchy type. Closed form expressions are obtained for the temperature field distributions in the fluid. The general solution thus obtained is illustrated by calculating both the thermal and kinematic signatures on the free surface for some particular cases.