Imperial College London

Prof Jonathan Mestel

Faculty of Natural SciencesDepartment of Mathematics

Senior Consul & Professor of Applied Mathematics
 
 
 
//

Contact

 

+44 (0)20 7594 8513j.mestel Website

 
 
//

Location

 

746Huxley BuildingSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@article{Mestel:2022:10.22364/mhd.58.4.7,
author = {Mestel, A and Arslan, A and Henriques, Vaz R and Mancini, E},
doi = {10.22364/mhd.58.4.7},
journal = {Magnetohydrodynamics},
pages = {435--443},
title = {Nonlinear laminar 'dynamos' linear in one coordinate},
url = {http://dx.doi.org/10.22364/mhd.58.4.7},
volume = {58},
year = {2022}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - We consider two self-similar flow fields, for which the Navier-Stokes equations reduce to ODEs. If the magnetic field has a similar structure then the induction equation also reduces to ODEs. The coupled system can be regarded as a kinematic dynamo problem, but also the fields grow until they saturate as exact solutions of the nonlinear system. The extent to which these solutions can be regarded as genuine dynamos is discussed.
AU - Mestel,A
AU - Arslan,A
AU - Henriques,Vaz R
AU - Mancini,E
DO - 10.22364/mhd.58.4.7
EP - 443
PY - 2022///
SN - 0024-998X
SP - 435
TI - Nonlinear laminar 'dynamos' linear in one coordinate
T2 - Magnetohydrodynamics
UR - http://dx.doi.org/10.22364/mhd.58.4.7
UR - http://mhd.sal.lv/contents/2022/4/index.html
UR - http://hdl.handle.net/10044/1/102654
VL - 58
ER -