LAMINAR HEAT TRANSFER IN DIFFUSER FLOW
IN A COAXIAL CONICAL CHANNEL IN THE CASE
OF BOUNDARY CONDITIONS OF THE FIRST KIND
L. M. Ul'ev

UDC 536.58:532.135

Consideration is given to the problem of convective 
heat transfer in slow diffuser flows in coaxial annular conical channels 
of constant width. A solution for thermal boundary conditions of the 
first kind is obtained by the method of separation of variables. The 
dependence of the temperature on the coordinates is represented in 
the form of a sum of two infinite series in confluent hypergeometric 
functions of the transverse coordinate that are multiplied by an exponential 
dependence on the longitudinal coordinate. The solution is of interest 
due to its being a superposition of two solutions, each having its 
own eigenfunctions and eigenvalues. Relations for evaluation of the 
initial thermal portion in the considered flows are also given.

National Technical University (Kharkov Polytechnic Institute), 
Kharkov, Ukraine; email: ulm@kpi.kharkov.ua. Translated from Inzhenerno-Fizicheskii 
Zhurnal, Vol. 74, No. 1, pp. 21-26, January-February, 2001. 
Original article submitted March 16, 1999; revision submitted July 
5, 2000.

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