Abstract
The system of partial differential equations, together with their boundary conditions, has been established to describe the performance of regenerators subjected to cycling flows, including commonly neglected effects such as internal energy changes of the fluid due to pressure cycling and longitudinal matrix conduction. Exact solutions are obtained for the case of an infinitely large matrix heat capacity. For the case of finite matrix heat capacity the method of perturbations is employed, and the solutions can be considered exact throughout the regenerator except for the regions near the boundaries. In general, the results are contained in a set of three coupled ordinary differential equations, which must be solved numerically. For the important case of negligible matrix heat conduction, however, a closed-form solution is presented here.
Published Version
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