dorsal/arxiv
View SchemaDissipation in ferrofluids: Mesoscopic versus hydrodynamic theory
| Authors | Hanns Walter Müller, Andreas Engel |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9909003 |
| URL | https://arxiv.org/abs/patt-sol/9909003 |
| DOI | 10.1103/PhysRevE.60.7001 |
Abstract
Part of the field dependent dissipation in ferrofluids occurs due to the rotational motion of the ferromagnetic grains relative to the viscous flow of the carrier fluid. The classical theoretical description due to Shliomis uses a mesoscopic treatment of the particle motion to derive a relaxation equation for the non-equilibrium part of the magnetization. Complementary, the hydrodynamic approach of Liu involves only macroscopic quantities and results in dissipative Maxwell equations for the magnetic fields in the ferrofluid. Different stress tensors and constitutive equations lead to deviating theoretical predictions in those situations, where the magnetic relaxation processes cannot be considered instantaneous on the hydrodynamic time scale. We quantify these differences for two situations of experimental relevance namely a resting fluid in an oscillating oblique field and the damping of parametrically excited surface waves. The possibilities of an experimental differentiation between the two theoretical approaches is discussed.
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"abstract": "Part of the field dependent dissipation in ferrofluids occurs due to the\nrotational motion of the ferromagnetic grains relative to the viscous flow of\nthe carrier fluid. The classical theoretical description due to Shliomis uses a\nmesoscopic treatment of the particle motion to derive a relaxation equation for\nthe non-equilibrium part of the magnetization. Complementary, the hydrodynamic\napproach of Liu involves only macroscopic quantities and results in dissipative\nMaxwell equations for the magnetic fields in the ferrofluid. Different stress\ntensors and constitutive equations lead to deviating theoretical predictions in\nthose situations, where the magnetic relaxation processes cannot be considered\ninstantaneous on the hydrodynamic time scale. We quantify these differences for\ntwo situations of experimental relevance namely a resting fluid in an\noscillating oblique field and the damping of parametrically excited surface\nwaves. The possibilities of an experimental differentiation between the two\ntheoretical approaches is discussed.",
"arxiv_id": "patt-sol/9909003",
"authors": [
"Hanns Walter M\u00fcller",
"Andreas Engel"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevE.60.7001",
"title": "Dissipation in ferrofluids: Mesoscopic versus hydrodynamic theory",
"url": "https://arxiv.org/abs/patt-sol/9909003"
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