Structure of ferrofluid dynamics

Müller, H. W.; Liu, Mario

doi:10.1103/physreve.64.061405

Cited by 138 publications

(166 citation statements)

References 19 publications

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“…The experiments [22,23,24] show that any nonzero strength of the magnetic field influences the thermodiffusive processes. Thus the general ansatz for the dissipative mass flux is (following the notation in [9])…”

Section: Ferrofluid Dynamics: Chemical Potential and Mass Fluxmentioning

confidence: 99%

“…The principal structure of the ferrofluid dynamics theory was given in [9]. It is based firstly on general principles as symmetry considerations and conservations laws and on irreversible thermodynamics.…”

Section: Ferrofluid Dynamics: Chemical Potential and Mass Fluxmentioning

confidence: 99%

“…It is taken as a function of the entropy density s, the density ρ (1) of the magnetic part of the fluid, the momentum density g = ρv, the total density ρ, and the magnetic induction B = µ 0 (M + H) [9],…”

Section: Ferrofluid Dynamics: Chemical Potential and Mass Fluxmentioning

confidence: 99%

“…Particularly the theoretical work had been based on the achievements of the two pioneers, Rosensweig [3] and Shliomis [4,5]. But 10 years ago a series of papers [6,7,8,9] started to appear pointing specifically to the deficiencies of the microscopic approach in [4,5] and proposing " ... a general, strictly macroscopic approach relying solely on symmetry considerations, conservation laws, and thermodynamics." [10].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Magnetic Soret effect: Application of the ferrofluid dynamics theory

Lange

2004

Phys. Rev. E

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The ferrofluid dynamics theory is applied to thermodiffusive problems in magnetic fluids in the presence of magnetic fields. The analytical form for the magnetic part of the chemical potential and the most general expression of the mass flux are given. By employing these results to experiments, global Soret coefficients in agreement with measurements are determined. Also an estimate for a hitherto unknown transport coefficient is made.

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Section: Ferrofluid Dynamics: Chemical Potential and Mass Fluxmentioning

confidence: 99%

Section: Ferrofluid Dynamics: Chemical Potential and Mass Fluxmentioning

confidence: 99%

Section: Ferrofluid Dynamics: Chemical Potential and Mass Fluxmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Magnetic Soret effect: Application of the ferrofluid dynamics theory

Lange

2004

Phys. Rev. E

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“…In the last few years many theoretical studies have been performed with the aim of describing these effects. Some theoretical models explain the effects on the basis of microscopic assumptions [2,3], while others are based on a mesoscale or macroscopic level [4,5]. The models lead to different predictions and open up new questions; one point which has to be clarified is the question of an appearance of a magnetic field dependent yield stress.…”

Section: Introductionmentioning

confidence: 99%

Investigations of yield stress in ferrofluids with a stress controlled rheometer

Shahnazian

Odenbach

2007

Proc Appl Math and Mech

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One of the most important properties of ferrofluids is the strong change of viscosity when subject to an applied magnetic field -the so called magnetoviscous effect. The rheological experiments as well as theoretical studies correlate this effect with the appearance of chain-like structures of magnetic particles due to the strong interparticle interaction in presence of a magnetic field. Furthermore, viscoelastic effects or other non-Newtonian features, like yield stress in ferrofluids, can theoretically be described with these structures under the influence of the magnetic field. In earlier experiments, when a shear rate controlled rheometer has been used, yield stress could not be investigated directly. A field dependent yield stress could only be estimated in ferrofluids. For direct yield stress investigations, a dedicated stress controlled rheometer is needed, so that the yield stress and its dependence on the magnetic field can be investigated directly. This paper presents investigations of yield stress and its dependence on the magnetic field strength as well as on volume concentration of large magnetic particles. In order to get more information about the structure formed by the particles, variation of gap thickness of the shear cell for the yield stress experiments has been used.

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Heat and mass transfer phenomena in magnetic fluids

2007

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Key words Ferrofluids, heat and mass transfer, thermomagnetic convection, Soret effect MSC (2000) 00-xx In this article the influence of a magnetic field on heat and mass transport phenomena in magnetic fluids (ferrofluids) will be discussed. The first section is dealing with a magnetically driven convection, the so called thermomagnetic convection while in the second section the influence of a temperature gradient on the mass transport, the Soret effect in ferrofluids, is reviewed.

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Structure of ferrofluid dynamics

Cited by 138 publications

References 19 publications

Magnetic Soret effect: Application of the ferrofluid dynamics theory

Magnetic Soret effect: Application of the ferrofluid dynamics theory

Investigations of yield stress in ferrofluids with a stress controlled rheometer

Heat and mass transfer phenomena in magnetic fluids

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