COUPLING OF CONDUCTION AND FORCED-CONVECTION PAST AN IMPULSIVELY STARTED INFINITE FLAT-PLATE

In this paper the unsteady coupling of conduction and convection for a thin body in a high speed stream is considered. The body is modeled a s a strip on one side of which the fluid is impulsively started in mot ion whereas on the other side two different thermal boundary condition s are given: constant temperature or vanishing heat flux. In the first part of the analysis an approximate solution of the energy equation i n the solid enables us to obtain relations between the temperature and the heat flux at solid-fluid interface which are more accurate than t hose currently used in the literature. In the second part the exact so lution of the two problems that arise from the coupling of the thermof luid-dynamic equations and the relations between the temperature and i ts derivatives at the interface are presented.