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International Heat Transfer Conference 6

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

TURBULENT HEAT AND MOMENTUM TRANSFER FOR ELECTRICALLY CONDUCTING FLUID FLOWING IN TWO-DIMENSIONAL CHANNEL UNDER TRANSVERSE MAGNETIC FIELD

K. Kitamura
University of Tokyo, Tokyo, Japan

Masaru Hirata
Dept. of Mechanical Engineering, The University of Tokyo, Tokyo 113, Japan; Shibaura Institute of Technology 307 Fukasaku, Saitama-shi, Saitama, 330-8570 Japan

DOI: 10.1615/IHTC6.2860
pages 159-164

Abstract

A heat and momentum transfer analysis is performed for the fully developed turbulent MHD flow of an electrically conducting fluid in a two-dimensional constant area channel. It is assumed that a uniform magnetic field perpendicular to the insulated channel walls exists in the channel. A mathematical models of turbulence which takes into account the suppression of turbulence by the magnetic field is proposed for the prediction of the momentum transfer.
The analytical results of skin friction coefficients, mean velocity profiles, the distributions of eddy diffusivity, and of turbulent kinetic energy show good agreement with the relevant experimental data in the range of 5 × 104 < Re < 2 × 105,and 0 < Ha < 700, respectively.
For the heat transfer analysis, a case of constant wall heat flux is treated and the tendency of the reduction of heat transfer rate by the magnetic field shows a good agreement qualitatively with the experimental results.

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