Mathematical Model of Conjugate Heat and Mass Transfer at Film Condensation


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Abstract

A mathematical model for calculating the thermohydrodynamic situation during film condensation based on the equations of conservation of mass, momentum and energy for the refrigerant in a limited area, the condensate film flowing and the gas phase in a two-dimensional formulation is constructed. The dependence of the viscosity of the working medium on the temperature is taken into account. The boundary conditions of conjugation are specified on the inner wall of the refrigerant flow region, the outer wall through which the condensate film flows, and also at the film-gas interface. The obtained boundary value problem is solved by approximate and numerical methods together with the condition for determining the unknown film thickness, which allows the calculation of all characteristics of the condensation process.

About the authors

F. G. Akhmadiev

Kazan State University of Architecture and Engineering

Author for correspondence.
Email: Akhmadiev@kgasu.ru
Russian Federation, Kazan, Tatarstan, 420043

M. I. Farakhov

OOO Inzhenerno-Vnedrencheskii Tsentr “Inzhekhim,”

Author for correspondence.
Email: info@ingehim.ru
Russian Federation, Kazan, Tatarstan, 420049

A. A. Akhmitshin

OOO Inzhenerno-Vnedrencheskii Tsentr “Inzhekhim,”

Author for correspondence.
Email: almaz@ingehim.ru
Russian Federation, Kazan, Tatarstan, 420049


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