skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Calculation of turbulent MHD boundary layer in MHD generator channels

Abstract

The problem of calculating a turbulent magnetohydrodynamic (MHD) boundary layer in channels of high-temperature MHD units using a closed differential equation describing turbulent viscosity is formulated. It is shown that, to a first approximation, this equation is of the same form as in ordinary gasdynamics, and that the magnetic field affects the characteristics of the boundary layer through MHD force and heat sources that can be taken into account by averaged motion and energy equations. An approximation model is proposed to take into account Joule heat release near the cold electrode wall of the channel. MHD boundary layers are calculated for two regimes, at a constant speed of the external flow and at constant pressure. It is shown that in the first case the boundary layer is characterized, at sufficiently strong electric currents, by increasing Stanton number on the electrode wall and increasing coefficient of friction on the insulation wall. In the second case the boundary layer on the electrode separates and the flow on the insulation wall is nonstalling at practically any retardation of the external flow. (AIP)

Authors:
;
Publication Date:
Research Org.:
High-Temperature Institute, Academy of Sciences of the USSR
OSTI Identifier:
7231077
Resource Type:
Journal Article
Journal Name:
High Temp. (USSR) (Engl. Transl.); (United States)
Additional Journal Information:
Journal Volume: 14:3
Country of Publication:
United States
Language:
English
Subject:
30 DIRECT ENERGY CONVERSION; MHD CHANNELS; FLOW MODELS; BOUNDARY LAYERS; ELECTRODES; HEAT TRANSFER; JOULE HEATING; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; MHD GENERATORS; TURBULENT FLOW; VISCOSITY; DIRECT ENERGY CONVERTERS; ENERGY TRANSFER; FLUID FLOW; FLUID MECHANICS; HEATING; HYDRODYNAMICS; LAYERS; MATHEMATICAL MODELS; MECHANICS; PLASMA HEATING; 300104* - MHD Generators- Duct Engineering & Fluid Dynamics

Citation Formats

Vatazhin, A B, and Alavidze, G R. Calculation of turbulent MHD boundary layer in MHD generator channels. United States: N. p., 1976. Web.
Vatazhin, A B, & Alavidze, G R. Calculation of turbulent MHD boundary layer in MHD generator channels. United States.
Vatazhin, A B, and Alavidze, G R. 1976. "Calculation of turbulent MHD boundary layer in MHD generator channels". United States.
@article{osti_7231077,
title = {Calculation of turbulent MHD boundary layer in MHD generator channels},
author = {Vatazhin, A B and Alavidze, G R},
abstractNote = {The problem of calculating a turbulent magnetohydrodynamic (MHD) boundary layer in channels of high-temperature MHD units using a closed differential equation describing turbulent viscosity is formulated. It is shown that, to a first approximation, this equation is of the same form as in ordinary gasdynamics, and that the magnetic field affects the characteristics of the boundary layer through MHD force and heat sources that can be taken into account by averaged motion and energy equations. An approximation model is proposed to take into account Joule heat release near the cold electrode wall of the channel. MHD boundary layers are calculated for two regimes, at a constant speed of the external flow and at constant pressure. It is shown that in the first case the boundary layer is characterized, at sufficiently strong electric currents, by increasing Stanton number on the electrode wall and increasing coefficient of friction on the insulation wall. In the second case the boundary layer on the electrode separates and the flow on the insulation wall is nonstalling at practically any retardation of the external flow. (AIP)},
doi = {},
url = {https://www.osti.gov/biblio/7231077}, journal = {High Temp. (USSR) (Engl. Transl.); (United States)},
number = ,
volume = 14:3,
place = {United States},
year = {Mon Nov 01 00:00:00 EST 1976},
month = {Mon Nov 01 00:00:00 EST 1976}
}