摘要:

The investigation is concerned with the impact of initial uncertainties on predictions. The problem can be solved exactly for sufficiently simple non-linear systems where an exact solution to the deterministic problem is known. In this paper we shall use the advective equation as an example.

ISSN:0309-1929    

DOI:10.1080/03091927908242694

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor

摘要:

Kinematic dynamo action in an unbounded homogeneous, fluid conductor is studied from an exact, analytical viewpoint, by exploiting the mathematical tractibility of “helical symmetry,” uncovered by Lortz [1968a). The principal motivation is to elucidate how helical dynamos operate, to clarify their energetics, to extend Lortz's work where possible and to place helical dynamos within the more general context of dynamo theory.

ISSN:0309-1929    

DOI:10.1080/03091927908242695

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor

摘要:

An explicit example of a steady prototype Lortz dynamo is elaborated in terms of a previously derived illustrative, exact, closed form solution to the nonlinear dynamo equations. The eigenvalue character of the dynamo problem is now introduced which simplifies the solution. The magnetic field lines, which lie on circular cylinders, and velocity streamline pattern are then displayed and discussed. Analysis of the magnetic energy balance by way of the Poynting flux reveals the existence of a finite critical cylinder across which zero net magnetic energy flows, thereby proving that the material inside is a self-excited dynamo, despite the fact that the total magnetic energy is unbounded.

ISSN:0309-1929    

DOI:10.1080/03091927908242696

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor

ISSN:0309-1929    

DOI:10.1080/03091927908242697

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor