Download Single- and multi-phase flows in an electromagnetic field : by Herman Branover; Beer-Sheva International Seminar on PDF
By Herman Branover; Beer-Sheva International Seminar on Magnetohydrodynamic Flows and Turbulence (4, 1984, Beersheba)
Read Online or Download Single- and multi-phase flows in an electromagnetic field : energy, metallurg., and solar applications ; technical papers from the proceedings of the 4th Beer-Sheva Internat. Seminar on Magnetohydrodynamic Flows and Turbulence, Ben Gurion Univ. of the Neg PDF
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Additional resources for Single- and multi-phase flows in an electromagnetic field : energy, metallurg., and solar applications ; technical papers from the proceedings of the 4th Beer-Sheva Internat. Seminar on Magnetohydrodynamic Flows and Turbulence, Ben Gurion Univ. of the Neg
Ludford and Walker^ formulate the governing equations for side layers in rectangular ducts with any combination of wall conductivities and with any planar magnetic field parallel to the sides. The magnitudes of the side layer variables and the boundary conditions are different for different wall conductivities. For ducts with thin conducting walls, there are two boundary layers on each side: an outer layer that carries an axial electric current and an inner layer that carries half the mass flux.
Basic Side Layer Equations Petrykowski and Walker treat liquid metal flows in rectangular ducts with parallel perfect conductors at z = ±1 (sides), with straight diverging insulators at 0 = ±0Q (top and bottom), and with a polar magnetic field, B = r"1©, where r, 0, z are cylindrical coordinates, 0 is a unit vector, the characteristic length L is half the distance between the conductors, the characteristic velocity Vg is the average radial velocity at r = 1, and the characteristic magnetic field strength B0 is the field strength at r = 1.
The tangential viscous stress^in the fluid is T = n(V+/z), and the viscous force moment |%| | about the axis is C= where Mta C = is the dimensionless viscous force moment. rch2(r-r) and for the insulating disk (motionless), sh2(rrr2) (11) 0+ and -M» while the moFor large values of M, ments become Ci (2) + 0 and C i ( 0 ) -^ M I K(k n ). Figure 2 presents Ci(0) = f(M) and C i ( 2 ) = f (M) when increased from 0 to 350. We note that Ci (2) -> 0 rapidly and becomes very small, compared with Ci(o), when M > 150.