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.], 2012, Issue 1(26),Pages <nobr>166

Mathematical Modeling

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

V. A. Kuznetsov^a, L. A. Migacheva^a, A. V. Starikov^a, A. R. Titov^b

^a Samara State Technical University, Samara, Rossia
^b Filial Samarskii of DOAO Tsentrenergogaz OAO Gazprom, Samara, Russia

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.

UDC: 517.958:536.24

MSC: 80A20

Original article submitted 03/IX/2011
revision submitted – 28/I/2012

DOI: 10.14498/vsgtu992