CROSS FLOW MULTI-CHAMBER HEAT EXCHANGER
The authors analyse an idealized model cross-current heat exchanger consisting of two sets of chambers one containing coolants and the other hot currents. Thin solid partitions separate between the hot and cold chambers. End effects are neglected so that the situation is periodic in a direction
perpendicular to the currents. It is assumed that the temperature distribution in every stream is governed by the convective-conductive heat equation except that upstream conduction is neglected. The entire temperature distribution in the exchangers is solved in terms of the flux across the solid partitions which is shown to be governed by a linear integral equation.