A class of incompressible solutions has been obtained for the heat-transfer characteristics of a two-dimensional porous cooled medium. The particular type of geometry considered herein is a doubly connected region. To illustrate the application of this class of solutions, it is applied to an eccentric annular region. The two boundaries of the porous medium are each at a different constant pressure, and hence can each be regarded as having a constant velocity potential. As a result, the porous region occupies a rectangle in a potential plane. The energy equation is transformed into a separable equation in potential-plane coordinates, and general solutions are obtained for an arbitrary surface temperature or heat flux. Conformal mapping can then be used to transform the solution into the physical plane.

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