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- W3111175306 abstract "A method for mathematical modeling of the heat transfer process in moving fluids has been developed on the basis of the combined use of the integral heat balance methods and collocation. The stabilized laminar flows of an incompressible fluids in a plane-parallel channel is considered. It is shown that the accuracy of the method developed depends on the number of approximations and is determined by the degree of the approximating polynomial. The study highlighted that the degree of the approximating polynomial depends on the number of points of the longitudinal coordinate at which the Sturm - Liouville equation is exactly satisfied. The method developed, already in the second approximation, has an accuracy sufficient for engineering applications. The simple analytical form of the solutions obtained allows one to study not only the temperature distribution, but also the isotherms, isothermal velocities, and determine the heat transfer coefficients. It is noted that the use of this method is limited only by the possibility of separation of the original differential equation." @default.
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- W3111175306 date "2020-10-06" @default.
- W3111175306 modified "2023-09-27" @default.
- W3111175306 title "About One Method of Mathematical Modeling of Heat Transfer in a Channel Under Boundary Conditions of the Third Kind" @default.
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- W3111175306 doi "https://doi.org/10.1109/fareastcon50210.2020.9271139" @default.
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