Imperial College London
Alternate

Prof Jonathan Mestel

Faculty of Natural Sciences, Department 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{Ferguson:2022:10.1017/jfm.2022.324,
author = {Ferguson, Briggs S and Mestel, A},
doi = {10.1017/jfm.2022.324},
journal = {Journal of Fluid Mechanics},
pages = {1--29},
title = {Linear stability of a ferrofluid centred around a current-carrying wire},
url = {http://dx.doi.org/10.1017/jfm.2022.324},
volume = {942},
year = {2022}
}
Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Investigated first is the linear stability of a Newtonian ferrofluid centred on a rigid wire, surrounded by another ferrofluid with a different magnetic susceptibility. An electric current runs through the wire, generating an azimuthal magnetic field which produces a magnetic stress at the interface of the fluids. Three dimensional disturbances to the system are considered and the linearised Navier-Stokes equations are solved analytically in terms ofan implicit expression for the growth rate of the disturbance. The growth rate is found numerically for arbitrary Reynolds number and given explicitly in the inviscid and Stokes regimes. Investigated next is a ferrofluid, whose  magnetic susceptibility varies radially, centred on a rigid wire, subject to an azimuthal, non-uniform field. It is proven that if the gradient of the susceptibility is positive anywhere in the fluid, the system is linearlyunstable. Moreover, it is proven that applying an axial field can stabilise disturbances for both continuous and discontinuous susceptibilities.
AU  - Ferguson,Briggs S
AU  - Mestel,A
DO  - 10.1017/jfm.2022.324
EP  - 29
PY  - 2022///
SN  - 0022-1120
SP  - 1
TI  - Linear stability of a ferrofluid centred around a current-carrying wire
T2  - Journal of Fluid Mechanics
UR  - http://dx.doi.org/10.1017/jfm.2022.324
UR  - https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/linear-stability-of-a-ferrofluid-centred-around-a-currentcarrying-wire/0875A296D51EF962316D65FC553A99E9
UR  - http://hdl.handle.net/10044/1/96615
VL  - 942
ER  -
Download