On Linear and Non-Linear Approximation In the Theory of Convective Heat Transfer
Journal of Energy Research and Reviews,
A system of linear equations that is currently widely used to describe convective heat transfer does not seem to be able to explain some experimental facts. One of the reasons for this may lie in using Newton’s and Fourier’s linear laws when deriving energy and Navier-Stokes equations. Replacing linear equations with nonlinear ones, as well as using an expression for surface heat flux density that is based on laws of physics instead of expressions called ‘cooling laws,’ would allow to solve a wider range of problems, and also would better agree with the experimental data. The use of proposed non-linear system of equations would also permit engineers in chemical, textile, defense, power, and other industries to design more economical and smaller-sized heat exchange devices.
- Convective heat transfer
- turbulent flows
- navier-stokes equation
- non-linear equations
How to Cite
Davidzon MY. About navier-stokes equation in the theory of convective heat transfer IOP Conf. Series: Journal of Physics Conf. Series 891 012041; 2017.
Isachenko VP, Osipova VA, Sukomel AS. Heat transfer. Moscow: Energoizdat. Russian; 1981.
Balayka B, Sikora K. Heat transfer processes in the chemical industry. Moscow: Mashgiz. Russian; 1968.
Mikheev MA, Mikheeva IM. Fundamentals of heat transfer. Moscow: Energia. Russian; 1973.
Greber G, Erk S. Fundamentals of heat transfer. Moscow-Lenigrad: United Scientific-Technical Publishing House of the NKTP of the USSR. Russian; 1936.
Petukhov BS. Heat transfer and resistance in laminar fluid flow in pipes. Moscow: Energia. Russian; 1967.
Fourier J. Analytical theory of heat. Translated with notes by Alexander Freeman. MA University Press London Cambridge; 1878.
Davidzon MY. On convective heat transfer in channels. Thermodynamic approach. Lulu Press, Inc: Raleigh, North Carolina. Russian; 2015.
Greber G, Erk S, Grigul W. Basics of heat transfer. Moscow: Foreign Publishing House, Litherature. Russian; 1958.
Davidzon MY. The first law of thermodynamics in vector form and convective heat transfer. American Journal of Physics and Application. 2018;6(#6):147-153.
Case VM. Convective heat and mass transfer. Moscow: Energia. Russian; 1972.
Tun-tsze Ma. Development of heat transfer in pipes at laminar flow. In: Heat Transfer. Moscow: Published in the USSR Academy of Sciences. Russian. 1962;27-33.
Davidzon MY. On linear and non-linear approximation in the theory of convective heat Transfer. Proceeds of Third international conference on contemporary problems of thermo physics and power industry in Russia. Moscow. 2020:77-79.
Accessed 13 August 2021.
Zhukauskas A, Zhugda I. Heat transfer in a laminar flow. Vilnius: Mintis. Russian; 1969.
Abstract View: 146 times
PDF Download: 95 times