Fundamental MHD creeping flow bounded by a motionless plane solid wall
DOI:
https://doi.org/10.1080/17797179.2017.1335535Keywords:
MagnetoHydrodynamics, stokes flow, fundamental solution, wall, fourier transformAbstract
This work determines the three-dimensional (3D) fundamental MHDcreeping flow and associated electric potential produced by a concentrated source point, with given unit strength e, located in a conducting Newtonian liquid bounded by a plane solid and motionless wall and subject to a given uniform magnetic field normal to the wall. The wall is no-slip but may be either perfectly conducting or insulating. By linearity, the analysis is confined to the cases of e either normal or parallel to the wall. Such different wall natures and force orientations result in different flows and electric potential functions which are obtained using direct and inverse two-dimensional Fourier transforms. As a result, it has been possible to analytically express in closed-form each resulting fundamental flow and potential.,
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