Abstract.
The effect of the strength and orientation of magnetic field with respect to the temperature gradient on the effective thermal conductivity \(\lambda_{eff}(H)\), in a kerosene-based ferrofluid with magnetite particles is reported. A new theoretical model to explain the experimental dependence \(\lambda_{eff}(H)\), obtained for both the parallel and perpendicular orientation of the magnetic field, relative to the temperature gradient is proposed, based on the Sillars equation (which is applied for the first time to a ferrofluid in this purpose). For computing \(\lambda_{theor}\), we have considered that the particle agglomerations, arranged in field-induced microstructures, have ellipsoid forms and the ratio a/b between the major axis and the minor axis of the ellipsoid increases with increasing the magnetic field strength. Using the proposed theoretical model, we established for the first time a semi-empirical relationship between the ratio, a/b and the magnetic field, H, both for parallel and perpendicular H relative to the temperature gradient, determining then the dependence on H of \(\lambda_{theor}\). The theoretical results are in agreement with the experimental measurements. The reported results are of great practical importance and show that ferrofluids may be useful for incorporation in magnetic tuneable heat transfer devices or for other potential thermal applications.
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References
S.U.S. Choi, J. Heat Transfer 131, 033106 (2009)
J. Philip, P.D. Shima, Adv. Colloid Interface Sci. 183--184, 30 (2012)
M. Farbod, A. Ahangarpour, Phys. Lett. A 380, 4044 (2016)
R.E. Rosensweig, Ferrohydrodynamics (Cambridge University Press, 1985)
P.C. Fannin, C.N. Marin, V. Socoliuc, G.M. Istratuca, A.T. Giannitsis, J. Phys. D: Appl. Phys. 36, 1227 (2003)
Mohamad Ali Bijarchi, Mohammad Behshad Shafii, Langmuir 36, 7724 (2020)
Amirhossein Favakeh, Mohamad Ali Bijarchi, Mohammad Behshad Shafii, J. Magn. & Magn. Mater. 498, 66134 (2020)
Mohamad Ali Bijarchi, Amirhossein Favakeh, Mohammad Behshad Shafii, J. Ind. Eng. Chem. 84, 106 (2020)
Q. Li, Y. Xuan, J. Wang, Exp. Therm. Fluid Sci. 30, 109 (2005)
J. Philip, P.D. Shima, B. Raj, Appl. Phys. Lett. 91, 203108 (2007)
A. Gavili, F. Zabihi, T.D. Isfahani, J. Sabbaghzadeh, Exp. Therm. Fluid Sci. 41, 94 (2012)
Mostafa Zarei Saleh Abad, Massoud Ebrahimi-Dehshali, Mohamad Ali Bijarchi, Mohammad Behshad Shafii, Ali Moosavi, Heat Transfer 48, 2700 (2019)
H. Hong, B. Wright, J. Wensel, S. Jin, X.R. Ye, W. Roy, Synth. Met. 157, 437 (2007)
S. Vinod, J. Philip, J. Magn. & Magn. Mater. 444, 29 (2017)
Sithara Vinod, John Philip, J. Mol. Liq. 298, 112047 (2020)
Amir Karimi, S. Salman, S. Afghahi, Hamed Shariatmadar, Mehdi Ashjaee, Thermochim. Acta 598, 59 (2014)
Q. Xue, W.M. Xu, Mater. Chem. Phys. 90, 298 (2005)
W. Duangthongsuk, S. Wongwises, Exp. Therm. Fluid Sci. 33, 706 (2009)
P.M. Hui, X. Zhang, A.J. Markworth, D. Stroud, J. Mater. Sci. 34, 5497 (1999)
X. Wang, X. Xu, S.U.S. Choi, J. Thermophys. Heat Transfer 13, 474 (1999)
R.L. Hamilton, O.K. Crosser, Ind. Eng. Chem. Fundam. 1, 187 (1962)
L. Yang, X. Xu, Int. Commun. Heat Transfer 81, 42 (2017)
N.S. Susan Mousavi, Sunil Kumar, J. Appl. Phys. 123, 043902 (2018)
Dong-Xing Song, Wei-Gang Ma, Xing Zhang, Int. J. Heat Mass Transfer 138, 1228 (2019)
A.R. Challoner, R.W. Powell, Proc. R. Soc. London, Ser. A 238, 90 (1956)
R.W. Sillars, J. Instit. Electr. Eng. 80, 378 (1937)
C.N. Marin, P.C. Fannin, K. Raj, V. Socoliuc, Magnetohydrodynamics 49, 270 (2013)
L. Gabor, R. Minea, D. Gabor, RO Patent No. 108851 (1994)
Daniela Susan-Resiga, I. Malaescu, Oana Marinica, C.N. Marin, Physica B: Phys. Condens. Matter 587, 412150 (2020)
I. Mihalca, A. Ercuta, C. Ionascu, Sens. Actuators A: Phys. 106, 61 (2003)
R.W. Chantrell, J. Popplewell, S.W. Charles, IEEE Trans. Magn. 14, 975 (1978)
C.O. Bennett, J.E. Myers, Momentum, Heat and Mass Transfer, 3rd edition (McGraw-Hill, New York, 1982).
S. Kakaç, A. Pramuanjaroenkij, Int. J. Heat Mass Transfer 52, 3187 (2009)
V. Prakash, V.K. Tyagi, A.K. Tyagi, Nano Vision 6, 10 (2016)
M. Krichler, S. Odenbach, J. Magn. & Magn. Mater. 326, 85 (2013)
M. Ortiz-Salazar, N.W. Pech-May, C. Vales-Pinzon, R. Medina-Esquivel, J.J. Alvarado-Gil, J. Phys. D: Appl. Phys. 51, 075003 (2018)
J. Molgaard, W.W. Smeltzer, J. Appl. Phys. 42, 3644 (1971)
J.C. Bacri, D. Salin, J. Phys. (Paris) Lett. 43, L-649 (1982)
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Marin, C.N., Malaescu, I. Experimental and theoretical investigations on thermal conductivity of a ferrofluid under the influence of magnetic field. Eur. Phys. J. E 43, 61 (2020). https://doi.org/10.1140/epje/i2020-11986-3
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DOI: https://doi.org/10.1140/epje/i2020-11986-3