Jun 1, 1966
International Journal of Heat and Mass Transfer
Abstract An analytical solution of the unidirectional regenerator problem is presented. The effectiveness of a regenerator at any arbitrary distance from the inlet is defined in terms of dimensionless groups determining the problem, computed for a wide range of parameters, and given in a series of graphs. While retaining the limitation of equal heat capacities and constant heat-transfer coefficients for hot and cold gas streams, the analytical treatment differs from the conventional methods of attack in that: 1. (1) No simplifying assumptions are made with regard to the material properties and dimensions of the heat storage matrix other than postulating that the thermal conductivity of the solid be zero in the direction of gas flow. 2. (2) No assumptions are needed regarding the nature of the longitudinal temperature profile along the regenerator. Local effectiveness graphs, which describe the operation of a unidirectional regenerator in cyclic operation, are of the type heretofore available only for ordinary recuperators.