@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 **g** located at a so-called source point **x**_{0} in an unbounded conducting Newtonian liquid with uniform viscosity *µ* and conductivity σ > 0 subject to a prescribed uniform ambient magnetic field **B** = *B*e_{1} is analytically obtained. More precisely, not only the produced flow pressure *p* and velocity **u** but also the resulting stress tensor field σ are expressed at any observation point **x ≠ x**_{0} in terms of usual modified Bessel functions, the vectors **g**, **x-x**_{0} and the so-called Hartmann layer thickness *d = (√µ/σ)/B* (see Hartmann (1937)). The resulting basic flows obtained for **g** either parallel with or normal to the magnetic field **B** are examined and found to exhibit quite different properties.},
DOI = {10.3970/cmes.2014.102.393}
}