TY - JOUR
T1 - Reconnexion of vortex and magnetic tubes subject to an imposed strain
T2 - An approach by perturbation expansion
AU - Hattori, Y.
AU - Moffatt, H. K.
N1 - Funding Information:
This work was initiated in 2002/3 when HKM held the Chaire International de Recherche Blaise Pascal, funded by the Fondation de l’Ecole Normale Supèrieure. This support, and also that of the Leverhulme Trust, is gratefully acknowledged.
PY - 2005/4
Y1 - 2005/4
N2 - The viscous interaction of two weakly curved and oppositely directed vortex tubes of flattened cross-section driven together by an imposed uniform strain is considered using a perturbation technique. The evolution of the cross-sectional vorticity distribution is computed, and the rate of reconnexion, as indicated by the decrease of circulation of each tube at the plane of symmetry, is obtained for various values of the Reynolds number and of the (small) aspect ratio of the tubes. Attention is focused particularly on the nonlinear effect of convection by the velocity field induced by the vortices. A similar technique is applied to the problem of reconnexion of magnetic flux tubes, for which the nonlinear effect is different, being that associated with the Lorentz force distribution.
AB - The viscous interaction of two weakly curved and oppositely directed vortex tubes of flattened cross-section driven together by an imposed uniform strain is considered using a perturbation technique. The evolution of the cross-sectional vorticity distribution is computed, and the rate of reconnexion, as indicated by the decrease of circulation of each tube at the plane of symmetry, is obtained for various values of the Reynolds number and of the (small) aspect ratio of the tubes. Attention is focused particularly on the nonlinear effect of convection by the velocity field induced by the vortices. A similar technique is applied to the problem of reconnexion of magnetic flux tubes, for which the nonlinear effect is different, being that associated with the Lorentz force distribution.
KW - Magnetic reconnexion
KW - Perturbation expansion
KW - Uniform strain field
KW - Vortex reconnexion
UR - http://www.scopus.com/inward/record.url?scp=18844453460&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=18844453460&partnerID=8YFLogxK
U2 - 10.1016/j.fluiddyn.2005.01.004
DO - 10.1016/j.fluiddyn.2005.01.004
M3 - Article
AN - SCOPUS:18844453460
SN - 0169-5983
VL - 36
SP - 333
EP - 356
JO - Fluid Dynamics Research
JF - Fluid Dynamics Research
IS - 4-6
ER -