Processes of magnetophoresis and Brownian diffusion in a suspension of magnetic nanoparticles (magnetic fluid) in an inhomogeneous magnetic field have been considered on condition that these processes are limited by concentration phase transitions between thermodynamic states of an ensemble of particles. Regularities of these processes have been established with the example of a plane axisymmetric fluid layer. It has been shown that due to the dependence of the effective thermal conductivity of the suspension on the concentration of particles, these processes may exert a substantial influence on the heat transfer through it.
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R. E. Rosensweig, Ferrohydrodynamics, Cambridge University Press, New York (1985).
E. Blums, A. Cebers, and M. M. Maiorov, Magnetic Fluids, Walter de Gruyter, Berlin (1997).
V. G. Bashtovoi, B. M. Berkovski, and A. N. Vislovich, Introduction to Thermomechanics of Magnetic Fluids, Hemisphere Publ. Corp., New York (1988).
X. Q. Wang and A. S. Mujumbar, Heat transfer characteristics of nanofl uids: A review, Int. J. Therm. Sci., 46, 1−19 (2007).
S. Taketomi, Motion of ferrite particles under a high gradient magnetic field in a magnetic fluid seal, Jpn. J. Appl. Phys., 19, No. 10, 1929−1936 (1980).
I. Anton, L. Vekash, I. Potents, and D. Bika, Behavior of magnetic liquids in an inhomogeneous magnetic field, Magnetohydrodynamics, 21, No. 3, 213−217 (1985).
V. G. Bashtovoi, V. K. Polevikov, and A. M. Algadal, The effect of diffusion processes on the statics of magnetic fluids, Proc. National Academy of Sciences of Belarus, No. 3, 42–48 (2006) (in Russian).
V. G. Bashtovoi, V. K. Polevikov, A. E. Suprun, A. V. Stroots, and S. A. Beresnev, Influence of Brownian diffusion on statics of magnetic fluid, Magnetohydrodynamics, 43, No. 1, 3−11 (2007).
V. G. Bashtovoi, V. K. Polevikov, A. E. Suprun, A. V. Stroots, and S. A. Beresnev, The effect of magnetophoresis and Brownian diffusion on the levitation of bodies in a magnetic fl uid, Magnetohydrodynamics, 44, No. 2, 121−126 (2008).
V. G. Bashtovoi, S. G. Pogirnitskaya, P. Kuzhir, V. M. Polunin, P. A. Ryapolov, I. A. Shabanova, and A. M. Storojenko, Influence of mass transfer processes on Couette flow of magnetic fl uid, J. Nano-Electron. Phys., 5, No. 4, 04011 (2013).
V. G. Bashtovoi, P. P. Kuzhir, A. Yu. Zubarev, and V. S. Moroz, Diffusion and magnetophoresis in nanodispersed magnetic fluids with phase transition, Proc. National Academy of Sciences of Belarus, Phys.-Tech. Ser., No. 2, 78−87 (2017) (in Russian).
V. G. Bashtovoi, P. P. Kuzhir, A. Yu. Zubarev, and V. S. Moroz, On the mechanics of magnetic fluids with field-induced phase transition: Application to Couette flow, Magnetohydrodynamics, 54, No. 3, 181−197 (2018).
S. P. Fisenko and Yu. A. Khodyko, Brownian diffusion inside a micron-sized droplet and the morphology of ensembles of nanoparticles, J. Eng. Phys. Thermophys., 86, No. 2, 349−355 (2013).
D. A. Takopulo and S. P. Fisenko, Brownian diffusion and transfer of nanoparticle beam by a gas fl ow, J. Eng. Phys. Thermophys., 86, No. 5, 1041−1045 (2013).
W. B. Russel, D. A. Saville, and W. R. Schowalter, Colloidal Dispersions, Cambridge University Press, Cambridge (1989).
A. Y. Zubarev and L. Y. Iskakova, Theory of structural transformations in ferrofluids: Chains and gas–liquid phase transitions, Phys. Rev. E, 65, No. 6, 061406 (2002).
A. Y. Zubarev and L. Y. Iskakova, Phase transitions in electro- and magnetorheological fluids, Colloid J., 65, No. 2, 159−165 (2003).
L. Y. Iskakova, A. Y. Zubarev, and A. P. Romanchuk, On the theory of phase transitions in magnetorheological suspensions, Colloid J., 67, No. 5, 564−572 (2005).
A. F. Pshenichnikov and A. S. Ivanov, Magnetophoresis of particles and aggregates in concentrated magnetic fluids, Phys. Rev. E, 86, No. 5, 051401 (2012).
A. F. Pshenichnikov, E. A. Elfimova, and A. S. Ivanov, Magnetophoresis, sedimentation, and diffusion of particles in concentrated magnetic fluids, J. Chem. Phys., 134, No. 18, 184508 (2011).
A. F. Pshenichnikov and A. A. Kuznetsov, Sedimentation of particles in concentrated magnetic fl uids: Numerical simulation, Magnetohydrodynamics, 51, No. 3, 551−560 (2015).
C. Magnet, P. Kuzhir, G. Bossis, A. Meunier, L. Suloeva, and A. Zubarev, Haloing in bimodal magnetic colloids: The role of field-induced phase separation, Phys. Rev. E, 86, No. 1, 011404 (2012).
C. Magnet, P. Kuzhir, G. Bossis, A. Meunier, S. Nave, A. C. Zubarev, C. Lomenech, and V. Bashtovoi, Behavior of nanoparticle clouds around a magnetized microsphere under magnetic and flow fields, Phys. Rev. E, 89, No. 6, 032310 (2014).
J. C. Maxwell, A Treatise on Electricity and Magnetism, 2nd edn., Clarendon Press, Oxford (1881).
N. B. Dortman (Ed.), Physical Properties of Rocks and Minerals Resources (Petrophysics): A Reference Book for Geophysicists [in Russian], 2nd revised and enlarged edn., Nauka, Moscow (1984).
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 93, No. 3, pp. 529–538, May–June, 2020.
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Bashtovoi, V.G., Reks, A.G., Kuzhir, P.P. et al. Diffusion Mass and Heat Transfer in a Plane Axisymmetric Layer of a Magnetic Fluid. J Eng Phys Thermophy 93, 509–518 (2020). https://doi.org/10.1007/s10891-020-02147-y
- magnetic fluid
- magnetic field
- phase transition
- heat conduction