Solar physics meeting at IIA, Bangalore
Solar physics meeting at IIA, Bangalore
Solar physics meeting at IIA, Bangalore
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
In axisymmetry case<br />
Velocity field= Ω ( r , θ ) r s in θ e + v re r + v e<br />
Toroidal field evolution:<br />
φ θ θ<br />
differential i rot<strong>at</strong>ion meridional circul<strong>at</strong>ion<br />
i<br />
B = Br (, θ) eφ<br />
+∇× [ Ar (, θ) eφ]<br />
∂ B<br />
1 ⎡<br />
∂ ∂<br />
⎤<br />
2<br />
1<br />
+ ( rvr B ) + ( vθ<br />
B ) = ηt ( ∇ − ) B + s ( B<br />
p. ∇Ω<br />
)<br />
2<br />
∂t r⎢<br />
⎣∂r ∂θ<br />
⎥<br />
⎦ s<br />
1 ∂ηt<br />
∂<br />
+ ( rB)<br />
r ∂ r ∂ r<br />
Poloidal field evolution:<br />
2<br />
∂A<br />
A<br />
1 1<br />
+ (. v ∇ )( sA) = η (<br />
2<br />
p ∇ − ) A + S<br />
∂t<br />
s s<br />
2<br />
α