@Article{cmes.2014.102.393,
AUTHOR = {A.  Sellier, S. H.  Aydin, M.  Tezer-Sezgin},
TITLE = {Free-Space Fundamental Solution of a 2D Steady Slow Viscous MHD Flow},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {102},
YEAR = {2014},
NUMBER = {5},
PAGES = {393--406},
URL = {http://www.techscience.com/CMES/v102n5/27103},
ISSN = {1526-1506},
ABSTRACT = {The fundamental free-space 2D steady creeping MHD flow produced by a concentrated point force of strength <b>g</b> located at a so-called source point <b>x</b><sub>0</sub> in an unbounded conducting Newtonian liquid with uniform viscosity <i>µ</i> and conductivity σ > 0 subject to a prescribed uniform ambient magnetic field <b>B</b> = <i>B</i>e<sub>1</sub> is analytically obtained. More precisely, not only the produced flow pressure <i>p</i> and velocity <b>u</b> but also the resulting stress tensor field σ are expressed at any observation point <b>x ≠ x<sub>0</sub></b>  in terms of usual modified Bessel functions, the vectors <b>g</b>, <b>x-x<sub>0</sub></b> and the so-called Hartmann layer thickness <i>d = (√µ/σ)/B</i> (see Hartmann (1937)). The resulting basic flows obtained for <b>g</b> either parallel with or normal to the magnetic field <b>B</b> are examined and found to exhibit quite different properties.},
DOI = {10.3970/cmes.2014.102.393}
}