How to find out tangential induced magnetic filed

Far · March 27, 2022, 00:12

I have solved MHD flows between two rotating cylinders (2d). I get solution in terms of cartesian coordinates such as bx, by etc.

My problem is that how to find out the tangential component of induced magnetic field from bx and by.

LuckyTran · March 27, 2022, 01:40

Should be $r\dot{\theta}=xB_y-yB_x$

Far · March 27, 2022, 04:23

x and y denotes?

FMDenaro · March 27, 2022, 07:11

Quote:

Originally Posted by Far

I have solved MHD flows between two rotating cylinders (2d). I get solution in terms of cartesian coordinates such as bx, by etc.

My problem is that how to find out the tangential component of induced magnetic field from bx and by.

That is very very simple, just use the Cartesian-Cilindrical representation

b = i bx + j by = ir br + itheta btheta

The tangential component is

b.itheta=(i bx + j by ).itheta

March 27, 2022, 00:12	How to find out tangential induced magnetic filed	#1
Far Super Moderator Sijal Join Date: Mar 2009 Location: Islamabad Posts: 4,553 Blog Entries: 6 Rep Power: 54	I have solved MHD flows between two rotating cylinders (2d). I get solution in terms of cartesian coordinates such as bx, by etc. My problem is that how to find out the tangential component of induced magnetic field from bx and by.

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March 27, 2022, 01:40		#2
LuckyTran Senior Member Lucky Join Date: Apr 2011 Location: Orlando, FL USA Posts: 5,675 Rep Power: 66	Should be $r\dot{\theta}=xB_y-yB_x$

March 27, 2022, 04:23		#3
Far Super Moderator Sijal Join Date: Mar 2009 Location: Islamabad Posts: 4,553 Blog Entries: 6 Rep Power: 54	x and y denotes?