Showing papers on "Hartmann number published in 1986"
TL;DR: In this article, the effect of unsteadiness on mhd flow of a conducting incompressible viscous fluid in channels of varying cross-sections is considered, assuming that the cross section of the channel varies slowly the first, second harmonics and the steady streaming solutions are obtained for a flow in which volume flux is prescribed.
47 citations
TL;DR: In this article, the Hartmann number, K 2, K 2 and ω were derived for the hydromagnetic flow of a viscous incompressible electrically conducting fluid in a rotating channel under the influence of a periodic pressure gradient and of uniform magnetic field inclined with the axis of rotation.
28 citations
Proceedings Article•
01 Jan 1986TL;DR: In this article, a three-dimensional numerical methodology to simulate the effect of electric boosting on glassmelt circulation and heat transfer in a glass melting furnace is presented, where the voltage and electric current fields within the melt were determined by solving real and imaginary parts of the electric potential.
Abstract: A three-dimensional numerical methodology to simulate the effect of electric boosting on glassmelt circulation and heat transfer in a glass melting furnace is presented. Due to a small, characteristic Hartmann number, the ponderomotive forces in the momentum equation were neglected. The voltage and electric current fields within the melt were determined by solving real and imaginary parts of the electric potential. The Joulean heat dissipation was determined and coupled to the energy equation of the melt. Other relevant processes, such as batch-melting and heat transfer from combustion space, were integrated into a system model. Merits of electric boosting were examined by obtaining some representative results and comparing model predictions with and without electric boosting.
18 citations
TL;DR: In this article, a three-dimensional numerical methodology to simulate the effect of electric boosting on glassmelt circulation and heat transfer in a glass melting furnace is presented, where the voltage and electric current fields within the melt were determined by solving real and imaginary parts of the electric potential.
Abstract: A three-dimensional numerical methodology to simulate the effect of electric boosting on glassmelt circulation and heat transfer in a glass melting furnace is presented. Due to a small, characteristic Hartmann number, the ponderomotive forces in the momentum equation were neglected. The voltage and electric current fields within the melt were determined by solving real and imaginary parts of the electric potential. The Joulean heat dissipation was determined and coupled to the energy equation of the melt. Other relevant processes, such as batch-melting and heat transfer from combustion space, were integrated into a system model. Merits of electric boosting were examined by obtaining some representative results and comparing model predictions with and without electric boosting.
17 citations
01 Apr 1986
TL;DR: In this paper, a transverse magnetic field changes from a uniform strength upstream to a weaker uniform strength downstream, where the Hartmann number and the interaction parameter are assumed to be large, while the magnetic Reynolds number is small.
Abstract: This paper treats liquid-metal flows in rectangular ducts with thin conducting walls. A transverse magnetic field changes from a uniform strength upstream to a weaker uniform strength downstream. the Hartmann number and the interaction parameter are assumed to be large, while the magnetic Reynolds number is assumed to be small. If the magnetic field changes gradually over a long duct length, the velocity and pressure are nearly uniform in each cross section and the flow differs slightly from locally fully developed flow. If the magnetic field changes more abruptly over a shorter duct length, the velocity and pressure are much larger near the walls parallel to the magnetic field than in the central part of duct. Solutions for the pressure drops due to the magnetic field change are presented Le nombre de Hartmann et le parametre d'interaction sont supposes grand, tandis que le nombre de Reynolds magnetique est suppose petit
5 citations
TL;DR: In this article, the temperature distribution in the magnetohydrodynamic axial flow in a circular pipe has been found by using an alternating direction implicit method which has been suitably modified for r - θ - z geometry.
2 citations
TL;DR: In this article, the effects of external temperature-dependent heat sources and mass transfer on free convection flow of an electrically conducting viscous fluid past an impulsively starting infinite vertical limited surface in presence of a transverse magnetic field are considered.
Abstract: There have been considered the effects of external temperature-dependent heat sources and mass transfer on free convection flow of an electrically conducting viscous fluid past an impulsively starting infinite vertical limited surface in presence of a transverse magnetic field as considered. Solutions for the velocity and skin-friction, in closed form are obtained by using the Laplace transform technique and the results obtained for various values of the parametersSc (Schmidt number),M (Hartmann number), andS (Strength a Source or Sink) are given in graphical form. The paper is concluded with a discussion on the obtained results.