並流・向流熱交換器の動特性を表す簡易集中定数モデルの導出について

概要

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The dynamic characteristics of heat exchangers are described by partial differential equations. however the expressions are complicated and thus are not suited for practical use. Therefore, the development of a simple lumped-parametered model becomes an important factor in estimating the dynamic behavior of systems with heat exchangers and in designing optimal control systems. In this paper, a relatively simple dynamic model for parallel and counter flow heat exchangers is derived by applying the method of weighted residuals (MWR). A good approximation is obtained for a heat exchanger where liquid 1 and liquid 2 exchange heat, with a 2nd-order MWR model which is governed by four parameters, i.e. k_1 and k_2 which depend upon the steady-state temperatures of liquid 1 and liquid 2, and τ_1 and τ_1 which indicate the residence times of the liquids. Furthermore, the results of an experimental study are also presented to validate the analytical results.
一般社団法人日本機械学会の論文
1989-01-25