Showing papers on "Hartmann number published in 1984"
TL;DR: In this paper, les calculs sont effectues pour differents nombres de Hartmann et differentes conductivites de paroi, lorsque la conductivite augmente, le flux a travers une section diminue.
Abstract: Application de la methode a des conduites de formes rectangulaire, circulaire et triangulaire. Les calculs sont effectues pour differents nombres de Hartmann et differentes conductivites de paroi. Lorsque la conductivite augmente, le flux a travers une section diminue. L'augmentation du nombre de Hartmann produit le meme effet
52 citations
TL;DR: In this article, the numerical solution for the velocity and induced magnetic field has been obtained for the MHD flow through a rectangular pipe with perfectly conducting electrodes, which reduces to the solution of a singular integral equation which has been solved numerically.
Abstract: The numerical solution for the velocity and induced magnetic field has been obtained for the MHD flow through a rectangular pipe with perfectly conducting electrodes. The problem reduces to the solution of a singular integral equation which has been solved numerically. It is found that as the Hartmann number is increased the velocity profile shows a flattening tendency and the flux through a section is reduced. Also as compared with the case of nonconducting walls the flux is found to be smaller. Graphs and tables are given for the solution of the integral equation and the velocity and induced magnetic field.
20 citations
01 Jul 1984
TL;DR: In this paper, an approximate analysis of an oscillatory MHD channel flow and heat transfer under a transverse magnetic field has been carried out, where numerical values of the amplitude and phase of the skin-friction and the first and second harmonic of the rate of heat transfer are given in tabular form.
Abstract: An approximate analysis of an oscillatory MHD channel flow and heat transfer under a transverse magnetic field has been carried out. The transient and steady velocity and the transient and steady magnetic field are shown graphically. The numerical values of the amplitude and phase of the skin-friction and the first and second harmonic of the rate of heat transfer are given in tabular form. It is observed that the amplitude of the skin-friction increases with increasing M (the Hartmann number) and decreases with increasing the frequency ..omega... Also with increasing ..omega.., the amplitude of the first and the second harmonic of the rate of heat transfer decreases.
13 citations
TL;DR: In this article, the first-order solution for local tube dilations and for local constrictions is examined numerically for both converging and diverging sections of the tube.
Abstract: Laminar flow of a conducting fluid in round, straight tubes with axially varying radius, with a uniform magnetic field applied parallel to the tube axis, is treated theoretically as a regular perturbation problem at finite hydrodynamic Reynolds number, finite magnetic Reynolds number, and Hartmann numbers as large as O(α−1/2), where α is a small parameter characteristic of the slope of the tube wall. The first‐order solution is examined numerically for local tube dilations and for local constrictions. Flow separation along both converging and diverging sections of the tube is discussed. Pressure, current density, and induced magnetic field distributions are also presented.
11 citations
TL;DR: In this article, the Hartmann number is calculated for the relative motions of two coaxial cylinders parallel to their common axis in the presence of a uniform radial magnetic field, and heat transfer rates from the cylinders are plotted graphically against the Hartman number.
Abstract: Stealy flow of an incompressible electrically conducting fluid between, two coaxial cylinders composed of non-conducting materials, is considered in the presence of a uniform radial magnetic field. The flow is due to the relative motions of the cylinders parallel to their common axis. The cylinders are maintained at constant temperatures. Heat transfer rates from the cylinders are plotted graphically against the Hartmann number.
8 citations
TL;DR: In this paper, analytical solutions of the magnetic pressure drop and the heat transfer coefficient were obtained for liquid metal flow in an annular channel with perfectly conducting walls under transverse magnetic field, assuming that the flow was fully laminarized due to the effect of strong magnetic field and the velocity and temperature fields were fully developed.
Abstract: Analytical solutions of the magnetic pressure drop and the heat transfer coefficient were obtained for liquid metal flow in an annular channel with perfectly conducting walls under transverse magnetic field. Numerical calculations of the magnetic pressure drop and the heat transfer coefficient were also conducted for liquid metal flow in an annular channel with finite wall conductivity under transverse magnetic field. It was assumed in the analysis and the numerical calculations that the flow was fully laminarized due to the effect of strong magnetic field and the velocity and temperature fields were fully developed. It became clear from the results of numerical calculations that the Poiseuille number increased with the Hartmann number and the wall conductivity numbers, and that the Nusselt numbers at 0 and π from the direction of magnetic field were lower than the average Nusselt number, but higher at π/2. The Poiseuille number and the Nusselt number obtained by the numerical calculations for large value...
3 citations
TL;DR: In this article, the effects of Hartmann number,m (Hall parameter), andE (Ekman number) on the velocity and temperature fields were discussed, and exact solutions were derived.
Abstract: Free convection in a conducting liquid past an infinite porous vertical flat plate in a rotating frame of reference when the Hall current is present is considered. Exact solutions for the velocity and temperature fields have been derived. The effects ofM (Hartmann number),m (Hall parameter), andE (Ekman number) on the velocity field are discussed.
2 citations