Certificate of Registration Media number Эл #ФС77-53688 of 17 April 2013. ISSN 2308-6033. DOI 10.18698/2308-6033
  • Русский
  • Английский

Modeling of convective heat transfer in prismatic channels of different cross section geometry

Published: 09.12.2014

Authors: Kiryukhina N.V., Gorbunov A.K., Silaev A.A.

Published in issue: #1(37)/2015

DOI: 10.18698/2308-6033-2015-1-1354

Category: Mathematic modeling | Chapter: Modeling aerohydrodynamics

The article describes a mathematical model of heat transfer in developed laminar flow in prismatic channels of rectangular and triangular cross-sections, including the equation of fluid motion and the energy equation with boundary conditions of the second kind on the channel walls. The analytical solutions for the velocity field have been derived from the equations of liquid motion. Solution of the energy equation has been obtained by numerical method of finite differences. The computational algorithm was based on the difference scheme approximating the boundary value problem, based on five-point pattern. This algorithm implements programs allowing calculation of the velocity and temperature fields in the channels and determination of the local and average heat transfer characteristics. In future we plan to build an algorithm and to develop a program for the numerical solution of the problem of convective heat transfer in channel of more complex geometry with projections on the walls.

[1] Loytsyanskiy L.G. Mekhanika zhidkosti i gaza [Fluid Mechanics]. 5th ed. Moscow, Nauka Publ., 1978, 736 p.
[2] Mikheev M.A., Mikheeva I.M. Osnovy teploperedachi [Fundamentals of Heat Transfer]. 2nd ed. Moscow, Energiya Publ., 1977, 344 p.
[3] Dulnev G.N. Teoriya teplo- i massoobmena [Theory of Heat and Mass Transfer]. St. Petersburg, Reseach University ITmO Publ., 2012, 194 p.
[4] Fletcher C.A.J. Computational Techniques for Fluid Dynamics. London, et al., 1988. [Russian edition: Fletcher C. Vychislitelnye metody v dinamike zhidkostey. Tom 1: Osnovnye polozheniya i obschie metody (Computational methods in fluid dynamics. Vol. 1: Fundamentals and general methods) Moscow, Mir Publ., 1991, 504 p.].