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Hartmann number
About: Hartmann number is a research topic. Over the lifetime, 2593 publications have been published within this topic receiving 61342 citations.
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TL;DR: In this paper, a variable magnetic field is applied to the lower stationary disk and the upper disk can move towards or away from the lower disk, and the accuracy of results is examined by fourth order Runge-Kutta numerical method, then the influence of the Squeeze number (S), Hartmann number (M), Brownian motion parameters (Nb), thermophrotic parameter (Nt), Nusselt number (Nu), Sherwood number (Shr), non-dimensional temperature, velocity and nanoparticle concentration are investigated.
86 citations
TL;DR: In this article, the Lattice Boltzmann Method (LBM) is used to investigate the effects of uniform vertical magnetic field on the flow pattern and fluid-solid coupling heat transfer in a channel which is partially filled with porous medium.
86 citations
TL;DR: In this paper, the effect of the simultaneous action of a uniform magnetic field and a uniform angular velocity on the linear stability of the Benard layer to time-dependent convective motions is examined in the Boussinesq approximation.
Abstract: The effect of the simultaneous action of a uniform magnetic field and a uniform angular velocity on the linear stability of the Benard layer to time-dependent convective motions is examined in the Boussinesq approximation. Four models, characterized by the relative directions of the magnetic field, angular velocity and gravitational force, are discussed under a variety of boundary conditions. Apart from a few cases, the treatment applies when the Taylor number T and the Chandrasekhar number Q (the square of the Hartmann number) are large. (These parameters are dimensionless measures of angular velocity and magnetic field, respectively.)It is shown that the motions at the onset of instability can be of three types. If the Coriolis forces dominate the Lorentz forces, the results for the rotating non-magnetic case are retained to leading order. If the Coriolis and Lorentz forces are comparable, the minimum temperature gradient required for instability is greatly reduced. Also, in this case, the motions that ensue at marginal stability are necessarily three-dimensional and the Taylor-Proudman theorem and its analogue in hydromagnetics are no longer valid. When the Lorentz forces dominate the Coriolis forces, the results obtained are similar to those for the magnetic non-rotating case at leading order.The most unstable mode is identified for all relations T = KQα, where K and α are positive constants, taking into account both time-dependent and time-independent motionsVarious types of boundary layers developing on different boundaries are also examined.
86 citations
TL;DR: In this paper, an analysis has been performed to study the First and Second laws (of thermodynamics) characteristics of flow and heat transfer inside a vertical channel made of two parallel plates under the action of transverse magnetic field.
86 citations
TL;DR: In this paper, the velocity and volume flow rate of an electrically conducting, incompressible and viscous Jeffrey fluid between two slit microparallel plates with corrugated walls are analyzed by using numerical computation.
Abstract: By employing the perturbation method, the approximate analytical solutions of velocity and volume flow rate are presented for electromagnetohydrodynamic (EMHD) flow of an electrically conducting, incompressible and viscous Jeffrey fluid between two slit microparallel plates with corrugated walls. The corrugations of the two walls are described as periodic sinusoidal waves with small amplitude either in phase or half-period out of phase. The effects of the corrugations on the EMHD flow velocity are analyzed by using numerical computation. The variations of velocity profiles and mean velocity parameter and their dependences on the Reynolds number Re, Hartmann number Ha, dimensionless wave number λ of the wall perturbation, the dimensionless relaxation time λ1ω and retardation time λ2ω are explained graphically.
85 citations