Topic
Hartmann number
About: Hartmann number is a research topic. Over the lifetime, 2593 publications have been published within this topic receiving 61342 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this article, the channel flow of a third order fluid is investigated in the presence of a magnetic field applied transversely to the porous walls of a channel, and the expression for velocity is developed by an analytic method, namely the homotopy analysis method (HAM).
40 citations
TL;DR: The theory of Hunt & Stewartson (1965) for MHD flow in a rectangular duct with conducting walls parallel and non-conducting walls perpendicular to the magnetic field is applied to the problem of electrically driven MDP flow in this paper.
Abstract: The theory of Hunt & Stewartson (1965) for MHD flow in a rectangular duct with conducting walls parallel and non-conducting walls perpendicular to the magnetic field is applied to the problem of electrically driven MHD flow in a rectangular annulus. It is assumed that the Hartmann number M is sufficiently great for secondary flow effects to be negligible. The experiment described here satisfied the conditions of the theory and thus provides a sensitive experimental check on Hunt & Stewartson's theory. The theory is found to agree with the experiments to within the accuracy of the asymptotic theory.
40 citations
TL;DR: In this paper, the effect of magnetic field on the pore size distribution was investigated in the presence of a transverse magnetic field with an interface at the surface of the permeable bed.
40 citations
TL;DR: In this paper, uniform magnetic field impact on nanofluid flow between two circular cylinders is investigated analytically using AGM using a two phase model for two-dimensional (2D) simulations.
Abstract: In this paper, uniform magnetic field impact on nanofluid flow between two circular cylinders is investigated analytically using AGM. Two phase model is applied for nanofluid. Analytical procedures are examined for various active parameters namely aspect ratio, Hartmann number, Eckert number, Reynolds number, thermophoresis and Brownian parameters and Schmidt number. Results indicate that velocity reduces with augment of Lorentz forces but it rises with augment of Reynolds number. Temperature gradient enhances with rise of Hartmann number but it decreases with augment of other parameters.
40 citations
TL;DR: Four mathematical correlations are extracted from the results and presented, which can be used to accurately predict the average Nusselt number in terms of enclosure inclination angle, Hartmann, and Rayleigh numbers.
Abstract: In the present work, the effects of the longitudinal magnetic field and the heat source size on natural convection heat transfer through a tilted sinusoidal corrugated enclosure for different values of enclosure inclination angles are analyzed and solved numerically by using the finite volume technique based on body fitted control volumes with a collected variable arrangement. A constant heat flux source is discretely embedded at the central part of the bottom wall whereas the remaining parts of the bottom wall and the upper wall are assumed adiabatic, and two vertical sinusoidal corrugated walls are maintained at a constant low temperature. The range of the variable parameters considered in the present analysis is as follows: the enclosure inclination angle is varied from 0^o to 135^o, the ratio of the size of the heating element to enclosure width varied from 20 to 80% of enclosure reference length, Hartmann number is varied from 0 to 100, and Rayleigh number varied from 10^3 to 10^6. Liquid gallium with constant Prandtl number (0.02) is used as a working fluid with constant properties except the density. The obtained results indicated that streamlines are affected strongly by the magnetic field especially for small values of inclination angle (@F=0^o) and Rayleigh number (Ra=10^3-10^6). The magnetic field effect decreases with an increase in the enclosure inclination angle (@F>0^o) especially for large values of Rayleigh number. The increase in Hartmann number will cause the temperature lines to become symmetrical in shape for large values of Rayleigh number (Ra=10^5-10^6). The results also explain that the temperature lines are very little affected by the inclination angle especially for small values of (@e=0.4) and (Ra=10^4), but this effect will increase especially for (@e=0.8) and (Ra=10^6). The Nusselt number increases first with an increase in inclination angle (0^[email protected][email protected]@?45^o), then is slightly affected for (45^o<@[email protected]?90^o), and finally decreases for (90^o<@[email protected]?135^o). An empirical correlation is developed by using Nusselt number versus Hartmann and Rayleigh numbers, and enclosure inclination angle. The increase in Hartmann number and the ratio of heating element to enclosure width will decrease the Nusselt number. Furthermore, four mathematical correlations are extracted from the results and presented, which can be used to accurately predict the average Nusselt number in terms of enclosure inclination angle, Hartmann, and Rayleigh numbers.
40 citations