Showing papers on "Hartmann number published in 1970"
TL;DR: In this paper, the problem of magnetohydrodynamic free convection of an electrically conducting fluid in a strong cross field is investigated by using a singular perturbation technique, and the solutions presented cover the range of Prandtl numbers from zero to order one.
Abstract: The problem of magnetohydrodynamic free convection of an electrically conducting fluid in a strong cross field is investigated. It is solved by using a singular perturbation technique. The solutions presented cover the range of Prandtl numbers from zero to order one. This includes both the important cases of liquid metals and ionized gases. A general examination is given of the role of the important parameters: Hartmann, Grashof and Prandtl numbers of the problem. This provides clear insight into its singular character and yields the correct expansion parameters. The boundary-layer approximations are derived from the complete Navier-Stokes and energy equations. The conditions for these approximations to be valid will be explicitly stated. Attention is given to ‘power law’ wall-temperatures and magnetic fields, and an assessment is given of the range of application.
53 citations
TL;DR: Conducting fluids flow instabilities characterized by incipience at critical electric Hartmann number and convection rate proportional to electric Reynolds number are characterized in this paper, where the authors show that the flow instability is characterized by the incipientity of conducting fluids.
Abstract: Conducting fluids flow instabilities characterized by incipience at critical electric Hartmann number and convection rate proportional to electric Reynolds number
21 citations
TL;DR: In this paper, a theoretical investigation of the inertia effect in an inclined slider bearing with an electrically conducting lubricant in the presence of uniform transverse magnetic field is presented, and it is found that load capacity increases due to inertia at small Hartmann number and decreases at large Hartmann numbers.
Abstract: A theoretical investigation of inertia effect in an inclined slider bearing with an electrically conducting lubricant in the presence of uniform transverse magnetic field is presented. It is found that for open-circuit case, load capacity increases due to inertia at small Hartmann number and decreases at large Hartmann number.
16 citations
TL;DR: In this paper, the MHD non-steady Beltrami flow between two infinite parallel walls is discussed with an impressed magnetic field transverse to the walls, and exact solutions of modified Navier-Stokes equations are obtained using both Laplace transform and normal mode methods.
Abstract: Magnetohydrodynamic (hereafter called MHD) non-steady Beltrami flow between two infinite parallel walls is discussed with an impressed magnetic field transverse to the walls. Exact solutions of modified Navier-Stokes equations are obtained using both Laplace transform and normal mode methods. Expressions for the induced magnetic field and the skin-friction are also obtained. Numerical values of velocity, skin friction and induced magnetic field are calculated for different values of Hartmann number at different times and the results are tabulated and several conclusions are drawn.
2 citations
01 Jan 1970
2 citations
1 citations
01 Dec 1970
TL;DR: In this paper, it is shown that for a given Hartmann number M, as suction parameter β increases, the velocity at any point of the fluid increases, and the Skin friction at the stationary plate increases, while that at the accelerated plate decreases.
Abstract: This paper deals with the two-dimensional unsteady flow of a conducting viscous incompressible fluid between two parallel, porous plates, one of which is fixed, while the other is uniformly accelerated, when there is a transverse magnetic field. It is shown that, for a given Hartmann number M, as suction parameter β increases, the velocity at any point of the fluid increases, the Skin friction at the stationary plate increases, while that at the accelerated plate decreases. The results are true, as time T increases, for given Hartmann number M and the suction parameter β. The results also hold good for a given β, as M increases when the magnetic lines of force are fixed relative to the plate, while they are just opposite for the magnetic lines of force fixed relative to the fluid.