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Rigid‐drift magnetohydrodynamic equilibria for cylindrical screw pinches

 

作者: Leaf Turner,  

 

期刊: Physics of Fluids(00319171)  (AIP Available online 1979)
卷期: Volume 22, issue 4  

页码: 727-730

 

ISSN:0031-9171

 

年代: 1979

 

DOI:10.1063/1.862653

 

出版商: AIP

 

数据来源: AIP

 

摘要:

The equations of magnetohydrodynamic equilibrium are solved using the rigid‐drift assumption for a screw pinch with an arbitrarily pitched current. Instead of the customary isothermal assumption, the pressure is assumed to be proportional to the square of the number density (which implies a temperature that is proportional to the number density). Analytical formulae are presented for the profiles of the equilibrium magnetic field components,B&Vthgr;(r) andBz(r), and for the equilibrium pressure profile,p(r). The relative shapes of these profiles (which can exhibit hollow pressure and/or reversedBzbehavior) are determined by specification of only two parameters: the value of the local plasma beta atr=0 and a quantity related to the pitch of the current. A set of profiles that resemble those experimentally observed in reversed‐field pinches is presented.

 

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