Особенности математического моделирования процессов комбинированного теплообмена в технологических системах
Journal Title: Математичне моделювання - Year 2016, Vol 1, Issue 1
Abstract
MATHEMATICAL MODELING FEATURES OF COMPOUND HEAT EXCHANGE PROCESSES IN TECHNOLOGICAL SYSTEMS Zhulkovski O.A., Zhulkovska I.I. Babenko M.V. Abstract A special role in the development and study of technological systems, characterized by high temperature process conditions (in metallurgy, power engineering, mechanical engineering, etc.) is featured to the development of rational mathematical models of heat transfer processes. In practice there is a joint (compound) or a complex heat transfer, which combines heat conduction, convection and radiation heat transfer processes. Mathematical modeling method of compound (radiation-convective) heat transfer processes in technological systems, based on the numerical solution of multidimensional differential heat conduction equation with complicated boundary conditions has been introduced. And at the same time finite-difference approximation of heat conduction equation and boundary conditions is obtained by integro-interpolation method (balance method). A locally one-dimensional method of calculation based on heat exchange process splitting in the spatial variables is applied to solve the multidimensional problems of heat exchange. Heat transfer calculations of complex heat exchange are recommended to carry out on the base of the additive principle considering the common difficulty of numerical implementation of heat transfer problems, but when recording finite-difference approximation of boundary conditions it is advantageous to use the radiation heat exchange coefficient. The approaches considered to mathematical modeling of compound heat transfer processes can be used to investigate the thermal conditions of the process equipment in metallurgy, power engineering, mechanical engineering and other industries, as well as in the students training of university specialties. References [1] Grigoriev V.A., Zorin V.M. Teoreticheskie osnovy teplotekhniki. Teplotekhnicheskij ehksperiment: Spravochnik [Theoretical basics of Thermal Engineering. Thermal Engineering experiment: Handbook]. Moscow, 1988. 560 p. [2] Miheev M.A., Miheeva I.M. Osnovy teploperedachi [Fundamentals of heat transfer]. Moscow, 1977. 344 p. [3] Isachenko V.P., Osipova V.A., Sukomel A.S. Teploperedacha [Heat transfer]. Moscow, 1981. 416 p. [4] Bloh A.G., Zhuravlev yu.a., Ryzhkov L.N. Teploobmen izlucheniem: Spravochnik [Heat transfer by radiation: Handbook]. Moscow, 1991. 432 p. [5] Dulnev G.N., Parfenov V.G., Sigalov A.V. Primenenie EVM dlya resheniya zadach teploobmena [The use of computers for solving of heat transfer problems]. Moscow, 1990. 207 p. [6] Samarskij A.A. Teoriya raznostnyh skhem [The theory of difference schemes]. Moscow, 1989. 616 p. [7] Belocerkovskij O.M. CHislennoe modelirovanie v mekhanike sploshnyh sred [Numerical simulation in mechanics of continuous medium]. Moscow, 1984. 520 p. [8] Kazancev E.I. Promyshlennye pechi: Spravochnoe rukovodstvo dlya raschetov i proektirovaniya [Industrial furnaces: Handbook]. Moscow, 1975. 368 p.
Authors and Affiliations
О. А. Жульковский, И. И. Жульковская, М. В. Бабенко
Keywords
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