Helicity conservation laws for fluids and plasmas Export

@article{citeulike:3558816, abstract = {Helicity conservation laws in fluid dynamics and magnetohydrodynamics are studied. The rate of fluid helicity dissipation in nonisentropic flow is derived, and the derivation is generalized, introducing the concept of chirality and reinterpreting the Ertel-Katz law as one of a family of laws dictating the variation of the rate of dissipation of some helicity along streamlines. Woltjer's two helicity conservation laws in MHD are reviewed, and the covariant derivation of the second is given. The two Oron helicities are introduced, their conserved character is established, and a type B law arising from the second Oron helicity's conservation is proved. Departures from perfect MHD are addressed, estimating the magnetic helicity (MH) dissipation in magnetized fluids with finite conductivity and deriving a type-B law for the MH dissipation rate in a particularly simple kind of imperfect MHD flow. An Ertel-Katz type law is derived for poorly conducting magnetized fluids.}, author = {Bekenstein, J. D.}, citeulike-article-id = {3558816}, citeulike-linkout-0 = {http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?1987ApJ...319..207B&data_type=PDF_HIGH&whole_paper=YES&type=PRINTER&filetype=.pdf}, journal = {Astrophysical Journal}, keywords = {helicity}, pages = {207+}, posted-at = {2008-11-17 16:40:41}, priority = {2}, title = {Helicity conservation laws for fluids and plasmas}, url = {http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?1987ApJ...319..207B&data_type=PDF_HIGH&whole_paper=YES&type=PRINTER&filetype=.pdf}, volume = {319}, year = {1987} }

TY - JOUR ID - citeulike:3558816 L3 - citeulike-article-id:3558816 N2 - Helicity conservation laws in fluid dynamics and magnetohydrodynamics are studied. The rate of fluid helicity dissipation in nonisentropic flow is derived, and the derivation is generalized, introducing the concept of chirality and reinterpreting the Ertel-Katz law as one of a family of laws dictating the variation of the rate of dissipation of some helicity along streamlines. Woltjer's two helicity conservation laws in MHD are reviewed, and the covariant derivation of the second is given. The two Oron helicities are introduced, their conserved character is established, and a type B law arising from the second Oron helicity's conservation is proved. Departures from perfect MHD are addressed, estimating the magnetic helicity (MH) dissipation in magnetized fluids with finite conductivity and deriving a type-B law for the MH dissipation rate in a particularly simple kind of imperfect MHD flow. An Ertel-Katz type law is derived for poorly conducting magnetized fluids. JF - Astrophysical Journal TI - Helicity conservation laws for fluids and plasmas VL - 319 SP - 207 KW - helicity AU - Bekenstein, JD PY - 1987/// UR - http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?1987ApJ...319..207B&data_type=PDF_HIGH&whole_paper=YES&type=PRINTER&filetype=.pdf ER -