Free-Space Fundamental Solution of a 2D Steady Slow Viscous MHD Flow

Antoine Sellier 1 S. H. Aydin M. Tezer-Sezgin
1 LadHyX - Laboratoire d'hydrodynamique
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.
Type de document :
Article dans une revue
Computer Modeling in Engineering and Sciences, Tech Science Press, 2014, 102 (5), pp.393-406. 〈10.3970/cmes.2014.102.393〉
Liste complète des métadonnées
https://hal-polytechnique.archives-ouvertes.fr/hal-01178417
Contributeur : Denis Roura <>
Soumis le : lundi 20 juillet 2015 - 08:51:40
Dernière modification le : jeudi 7 février 2019 - 15:03:36

Identifiants

Collections

X | X-LADHYX | PARISTECH | X-DEP-MECA

Citation

Antoine Sellier, S. H. Aydin, M. Tezer-Sezgin. Free-Space Fundamental Solution of a 2D Steady Slow Viscous MHD Flow. Computer Modeling in Engineering and Sciences, Tech Science Press, 2014, 102 (5), pp.393-406. 〈10.3970/cmes.2014.102.393〉. 〈hal-01178417〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

152

Contact

support.ccsd.cnrs.fr
hal.support@ccsd.cnrs.fr
Logo CCSD