TY - EJOU
AU - Sellier, A.
AU - Aydin, S. H.
AU - Tezer-Sezgin, M.
TI - Free-Space Fundamental Solution of a 2D Steady Slow Viscous MHD Flow
T2 - Computer Modeling in Engineering \& Sciences
PY - 2014
VL - 102
IS - 5
SN - 1526-1506
AB - 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.
KW - MagnetoHydroDynamics
KW - Two-dimensional flow
KW - Stokes flow
KW - Fundamental solution
KW - Green tensor
KW - Hartmann layer thickness
KW - modified Bessel functions
DO - 10.3970/cmes.2014.102.393