A model for the formation of labyrinthine patterns by thin domains of magnetic fluids is described. The dynamics is derived variationally from an energy functional which reflects a competition between surface tension and long-range magnetic interactions. A detailed linear stability analysis for cir
โฆ LIBER โฆ
Convective Instability and Pattern Formation in Magnetic Fluids
โ Scribed by Renu Bajaj; S.K. Malik
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 216 KB
- Volume
- 207
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
A nonlinear convective instability in a layer of magnetic fluid is investigated in the presence of an applied magnetic field and temperature gradient. The stability of steady state patterns resulting from the convective instability is discussed using bifurcation theory. Rolls are found to be stable on both the square and hexagonal lattices.
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