Abstract
Based on the integral method of heat balance, an analytical solution of the problem of heat transfer in stabilized liquid flow in a plane tube is obtained. To increase the accuracy of solution, the approximation of the temperature function is made by polynomials of higher degrees. To determine their coefficients, supplementary boundary conditions are introduced that are found from the basic differential equation and given boundary conditions including conditions at the temperature perturbation front. In the second approximation the obtained analytical solution in the range of the longitudinal coordinate 10−6 ≤ x ≤ ∞ already virtually coincides with the exact one.
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