Open AccessKinematic Dynamo Problem
Author(s) -
Namikawa Tomikazu,
Matsushita Sadami
Publication year - 1970
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1970.tb06055.x
Subject(s) - dynamo , physics , dynamo theory , toroid , solar dynamo , classical mechanics , curl (programming language) , induction equation , magnetic field , toroidal and poloidal , contraction (grammar) , magnetohydrodynamics , kinematics , mechanics , plasma , medicine , quantum mechanics , computer science , programming language
Summary The properties of the dynamo equation are discussed to show that the dynamo equation is self‐adjoint for a curl‐free velocity under a suitable restriction. The impossibility of a steady dynamo by a motion having only a radial velocity component which vanishes at the boundary surface is proved, and an attempt has been made to verify the possibility of an oscillating toroidal field dynamo. Also it is shown that any poloidal magnetic field cannot be amplified by a uniform stellar contraction, while quasi‐steady toroidal fields can be maintained by a homologous contraction.