Abstract
The paper presents an efficient analytical method of solving the problem of a rotary heat regenerator taking into account longitudinal heat conduction in the matrix. The small parameter method, Laplace transform as well as one of the spline functions have been applied for approximation of an initial condition in the reversion time. In the application part, the solution for a model in analysis of an influence of longitudinal conduction in the matrix on effectiveness of rotary heat regenerator in a wide range of dimensionless parameters as well as for the particular matrix applied in air-conditioning was used.
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