By means of the double Laplace–Carson transform as integral averaging of the time function decreasing by the exponential law with weight and along a semi-bounded pipe, the nonstationary heat transfer equation under steady-state laminar or turbulent flow conditions is transformed into a boundary-value problem, which is solved by the method of orthogonal projection of the residual, where, as a finite element, the entire bounded domain of variation of elliptic coordinates is taken.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 81, No. 6, pp. 1063–1080, November–December, 2008.
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Tsoi, P.V. Heat transfer in complex-profile channels under different stabilized flow conditions of the medium and system search for higher-accuracy nonstationary temperature fields. J Eng Phys Thermophy 81, 1104–1122 (2008). https://doi.org/10.1007/s10891-009-0147-3
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DOI: https://doi.org/10.1007/s10891-009-0147-3