 |
École polytechnique Open archive |  |
 |
Journal articles
Free-Space Fundamental Solution of a 2D Steady Slow Viscous MHD Flow
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 x0 in an unbounded conducting Newtonian liquid with uniform viscosity μ and conductivity σ>0 subject to a prescribed uniform ambient magnetic field B=Be1 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≠x0 in terms of usual modified Bessel functions, the vectors g,x−x0 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.
https://hal-polytechnique.archives-ouvertes.fr/hal-01178417
Contributor : Denis Roura Connect in order to contact the contributor
Submitted on : Monday, July 20, 2015 - 8:51:40 AM
Last modification on : Thursday, March 5, 2020 - 6:31:01 PM
Contributor : Denis Roura Connect in order to contact the contributor
Submitted on : Monday, July 20, 2015 - 8:51:40 AM
Last modification on : Thursday, March 5, 2020 - 6:31:01 PM