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An extremal problem is formulated for computing the distributions of pressures, flow rates, and temperatures in the steady operation regime of thermal network of arbitrary configuration from data of measuring these parameters at individual network points. For its solution, it is proposed to use a non-conventional mathematical model of a non-isothermal flow distribution whose peculiarity is the invariance to flow directions, which are not known in advance. The approach and the computational scheme for estimating the parameters of the thermal/hydraulic regime are proposed and tested with a numerical example.
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Novitsky et al. (2007) studied this question.
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