Physics – Fluid Dynamics
Scientific paper
Feb 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002gapfd..96..153m&link_type=abstract
Geophysical and Astrophysical Fluid Dynamics, vol. 96, Issue 2, p.153-171
Physics
Fluid Dynamics
4
Scientific paper
Solutions for spine reconnective annihilation are presented which satisfy exactly the three-dimensional equations of steady-state resistive incompressible magnetohydrodynamics (MHD). The magnetic flux function (A) and stream function have the form $A = A_{0}(R) sin phi + A_{1}(R)z, qquad Psi = Psi _{0}(R) sin phi + Psi _{1}(R)z,$ in terms of cylindrical polar coordinates (R,,z). First of all, two non-linear fourth-order equations for A1 and are solved by the method of matched asymptotic expansions when the magnetic Reynolds number is much larger than unity. The solution, for which a composite asymptotic expansion is given in closed form, possesses a weak boundary layer near the spine (R = 0). These solutions are used to solve the remaining two equations for A0 and . Physically, the magnetic field is advected across the fan separatrix surface and diffuses across the spine curve. Different members of a family of solutions are determined by values of a free parameter and the components (BRe, Bze) and (vRe, vze) of the magnetic field and plasma velocity at a fixed external point (R,,z) = (1,/2,0), say.
Mellor Chris
Priest Eric R.
Titov Viacheslav S.
No associations
LandOfFree
Exact Solutions for Spine Reconnective Magnetic Annihilation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Exact Solutions for Spine Reconnective Magnetic Annihilation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact Solutions for Spine Reconnective Magnetic Annihilation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1107370