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Analysis of magnetohydrodynamic pressure in conducting fluids

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3 Author(s)
Krzeminski, S.K. ; Inst. of the Theory of Electr. & Meas., Warsaw Univ. of Technol., Poland ; Smialek, M. ; Wlodarczyk, M.

The process of magnetic field influence on the movement of a viscous, conducting liquid was described by using a Maxwell-Navier-Stokes system of equations. By introducing vector potentials Ψ, ζ, A and elements of dimensional analysis, a nonlinear Poisson equation was produced for a function describing pressure distribution in a flat channel. For a Poiseuille flow there was formulated a Neuman boundary condition in a generalised form as an integral identity. To solve the above problem, a finite element approximation method was used. Appropriate numerical experiments were conducted. The calculation results were presented as a family of constant pressure lines and as lines of pressure value on the channel boundaries. All the experiments were performed for different values of criterion numbers: Reynolds (Re), Reynolds magnetic (Rm ) and Hartman (Ha)

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Magnetics, IEEE Transactions on  (Volume:34 ,  Issue: 5 )