A classical problem of hydrodynamic and thermal boundary layers over a permeable plate in a uniform laminar flow is considered in this paper. It is well known that the similarity and integral solutions for the flow and energy equations are possible for the boundary condition of constant surface temperature and constant heat flux but only a few similarity solutions has been attempted for convective surface boundary condition. It is implied in this paper that an integral solution is available if the mass transpiration and the convective heat transfer coefficient associated with the hot lower sided fluid vary like �−1 2 ⁄ . Where x is the distance from the leading edge of the solid surface. The governing partial differential equations are first described and then transformed into integral form, before being solved numerically. At the end, the effect of some parameters on the flow and thermal fields are examined and discussed.

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