TY - JOUR
T1 - Using fluid variational variables to obtain new analytic solutions of self-gravitating flows with nonzero helicity
AU - Yahalom, Asher
PY - 2013
Y1 - 2013
N2 - Flow equations being nonlinear are notoriously difficult to solve analytically. In this work we show that, through a three-independent-functions variational formalism for steady barotropic flows, new analytical solutions of the flow equations can be obtained. A family of flows on predetermined toroidal Bernoulli surfaces is constructed. These flows have nonzero helicity and may be maintained by a suitable irrotational force distribution. For a particular density distribution, this force field can be provided approximately by self-gravitation.
AB - Flow equations being nonlinear are notoriously difficult to solve analytically. In this work we show that, through a three-independent-functions variational formalism for steady barotropic flows, new analytical solutions of the flow equations can be obtained. A family of flows on predetermined toroidal Bernoulli surfaces is constructed. These flows have nonzero helicity and may be maintained by a suitable irrotational force distribution. For a particular density distribution, this force field can be provided approximately by self-gravitation.
KW - Analytic solutions
KW - Topological solutions
KW - Variational analysis
UR - http://www.scopus.com/inward/record.url?scp=84876499793&partnerID=8YFLogxK
U2 - 10.1016/j.piutam.2013.03.026
DO - 10.1016/j.piutam.2013.03.026
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.conferencearticle???
AN - SCOPUS:84876499793
SN - 2210-9838
VL - 7
SP - 223
EP - 232
JO - Procedia IUTAM
JF - Procedia IUTAM
T2 - IUTAM Symposium on Topological Fluid Mechanics II
Y2 - 23 July 2012 through 27 July 2012
ER -