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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, the effects of induced magnetic field and heat source/sink on fully developed laminar natural convective flow of a viscous incompressible and electrically conducting fluid in the presence of radial magnetic field was investigated.
Abstract: In the present analysis, we have investigated the effects of induced magnetic field and heat source/sink on fully developed laminar natural convective flow of a viscous incompressible and electrically conducting fluid in the presence of radial magnetic field by considering induced magnetic field into account. The governing equations of the considered model are transformed into simultaneously ordinary differential equations and solved analytically. We have analyzed the effect of Hartmann number, heat source/sink parameter and ratio of outer radius to inner radius on the fluid velocity, induced magnetic field, induced current density and temperature field by the graphs while the values of skin-friction, Nusselt number, mass flux and induced current flux are given in the tabular form. We observed that the values of the velocity, induced magnetic field and induced current density have decreasing tendency with increasing the values of the Hartmann number. The results show that an increasing value of the heat source/sink parameter leads to increase the velocity, induced magnetic field, induced current density and temperature in case of heat source and viceversa in case of heat sink.
41 citations
TL;DR: In this article, the heat and mass transfer characteristics in a nonlinear radiative Eyring-Powell nanofluid passing a vertical Riga plate with an exponential varying viscosity in a porous medium are reported.
40 citations
TL;DR: In this paper, the hydromagnetic stability against small disturbances is investigated on the plane laminar motion of an electrically conducting fluid between parallel plates in relative motion in the presence of a transverse magnetic field.
Abstract: The hydromagnetic stability against small disturbances is investigated on the plane laminar motion of an electrically conducting fluid between parallel plates in relative motion in the presence of a transverse magnetic field. Curves of the neutral stability in the (α, R )-plane (α, the wave-number; R , the Reynolds number) are calculated for various values of the Hartmann number M . It is thus found that the critical Reynolds number R c is infinite for M 15). Thus, we may conclude that the flow is always stable for 0≦ M ≦3.91, destabilized by the magnetic field for 3.91 5.4.
40 citations
TL;DR: In this paper, the effect of magnetic parameters (Hartmann number) Ha, Joule heating parameter J, Reynolds number Re and Richardson number Ri on the streamlines, isotherms, average Nusselt number at the hot wall and average temperature of the fluid in the enclosure were investigated.
Abstract: In the present numerical investigation we studied the effect of magnetohydrodynamic (MHD) mixed convection flow in a vertical lid-driven square enclosure including a heat conducting horizontal circular cylinder with Joule heating. The governing equations along with appropriate boundary conditions for the present problem are first transformed into a non-dimensional form and the resulting non linear system of partial differential equations are then solved numerically using Galerkin’s finite element method. Parametric studies of the fluid flow and heat transfer in the enclosure are performed for magnetic parameter (Hartmann number) Ha, Joule heating parameter J, Reynolds number Re and Richardson number Ri. The streamlines, isotherms, average Nusselt number at the hot wall and average temperature of the fluid in the enclosure are presented for the parameters. The numerical results indicated that the Hartmann number, Reynolds number and Richardson number have strong influence on the streamlines and isotherms. On the other hand, Joule heating parameter has little effect on the streamline and isotherm plots. Finally, the mentioned parameters have significant effect on average Nusselt number at the hot wall and average temperature of the fluid in the enclosure.
40 citations
TL;DR: In this paper, the rheology of a dilute suspension of charged fibers with a large ratio of length L to diameter d was examined and it was assumed that the Hartmann number is small.
Abstract: The rheology of a dilute suspension of charged fibers with a large ratio of length L to diameter d is examined. The fibers may possess both a net charge and a charge dipole and it is assumed that the Hartmann number is small. The double layer thickness λ is large compared with the rod diameter and may be comparable with the fiber length. Although the shear rate is sufficiently small so that the deformation of the double layer is small, no restriction is placed on the rotary Peclet number of the rods. The velocity disturbance caused by the rods is neglected when calculating the double layer deformation. This approximation is accurate when λ/L=O(1) and L/d is very large, but leads to an overestimate of the ion cloud distortion for small values of λ/L or moderate values of L/d. The counterion cloud affects the stress both directly through a primary electroviscous stress and indirectly by exerting an electric torque that changes the fiber orientation distribution. The additional stress caused by electrostatic...
40 citations