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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2012, Issue 1(26), Pages 166–174
DOI: https://doi.org/10.14498/vsgtu992 (Mi vsgtu992) 		 
Mathematical Modeling

A mathematical model of heat transfer in apparatus of air cooling of oil

V. A. Kuznetsova, L. A. Migachevaa, A. V. Starikova, A. R. Titovb

a Samara State Technical University, Samara, Rossia
b Filial Samarskii of DOAO Tsentrenergogaz OAO Gazprom, Samara, Russia
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DOI: https://doi.org/10.14498/vsgtu992
Abstract: In this paper the boundary value problem describing the process of unsteady heat transfer in apparatus of air cooling of oil is formulated and solved. Different modes of operation of such heat exchangers are modeled. The analytical solutions of the boundary value problem corresponding to different modes of operation of apparatus of air cooling of oil are obtained.
Keywords: heat conduction equation, heat exchange process, Graetz–Nusselt problem, initial and boundary conditions, separation of variables.
Original article submitted 03/IX/2011
revision submitted – 28/I/2012
Bibliographic databases:
Document Type: Article
UDC: 517.958:536.24
MSC: 80A20
Language: Russian
Citation: V. A. Kuznetsov, L. A. Migacheva, A. V. Starikov, A. R. Titov, “A mathematical model of heat transfer in apparatus of air cooling of oil”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(26) (2012), 166–174
Citation in format AMSBIB
\Bibitem{KuzMigSta12}
\by V.~A.~Kuznetsov, L.~A.~Migacheva, A.~V.~Starikov, A.~R.~Titov
\paper A mathematical model of heat transfer in apparatus of air cooling of oil
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 1(26)
\pages 166--174
\mathnet{http://mi.mathnet.ru/vsgtu992}
\crossref{https://doi.org/10.14498/vsgtu992}
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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