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Analysis of thermophoresis and Brownian motion effect in heat transfer for nanofluid immersed distribution transformer

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Abstract

This paper presents an analysis of the heat transfer behavior of a three-phase distribution transformer filled with nanofluid. The effect of thermophoresis and Brownian motion is incorporated into the governing equations, thus giving the non-homogenous mathematical model for the nanofluid flow. The results show that in presence of the temperature gradient in a distribution transformer, the nanoparticle volume fraction greatly reduces near the heated wall and consequently modifies the net oil flow in the transformer, owing to reduction in oil viscosity near the heated wall. The results of the complete analysis of the temperature and the velocity field distribution of nanofluid flow show an increased heat transfer in both the natural and forced convection; the increase is relatively higher in former, in the light of thermophoresis effect and Brownian motion. Further, the results of the parametric study show that nanofluid dispersed with the magnetite nanoparticles has higher reduction in maximum temperature (\(\sim \) 11 K) followed by silica nanoparticles (\(\sim \) 7.3 K) and quartz nanoparticles (\(\sim 6\) K). The maximum reduction in temperature increases to 13 K in magnetite nanofluid under the influence of electric and magnetic field while it remains unchanged in silica nanofluid.

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References

  1. Pierce L (1992) An investigation of the thermal performance of an oil filled transformer winding. IEEE Trans Power Deliv 7(3):1347–1358

    Article  Google Scholar 

  2. Mergos JA, Athanassopoulou MD, Argyropoulosand TG, Dervos CT (2012) Dielectric properties of nanopowder dispersions in paraffin oil. IEEE Trans Dielectr Electr Insul 19(5):1502–1507

    Article  Google Scholar 

  3. Jeong GY, Jang SP, Lee HY, Lee JC, Choi S, Lee SH (2013) Magnetic-thermal-fluidic analysis for cooling performance of magnetic nanofluids comparing with transformer oil and air by using fully coupled finite element method. IEEE Trans Magn 49(5):1865–1868

    Article  Google Scholar 

  4. Dănescu LP, Morega AM, Telipan G, Morega M, Dumitru JB, Marinescu V (2013) Magnetic nanofluid applications in electrical engineering. IEEE Trans Magn 49(11):5489–5497

    Article  Google Scholar 

  5. Li J, Kleinstreuer C (2008) Thermal performance of nanofluid flow in micro-channels. Int J Heat Fluid Flow 29:1221–1232

    Article  Google Scholar 

  6. Xuan Y, Roetzel W (2000) Conceptions for heat transfer correlation of nanofluids. Int J Heat Mass Transf 43:3701–3707

    Article  MATH  Google Scholar 

  7. Ijam A, Saidur R (2012) Nanofluid as a coolant for electronic devices (cooling of electronic devices). Appl Therm Eng 32:76–82

    Article  Google Scholar 

  8. Townsend J, Christianson RJ (2009) Nanofluid properties and their effects on convective heat transfer in an electronics cooling application. J Therm Sci Eng Appl 1(3):1–9

    Article  Google Scholar 

  9. Bai M, Xu Z, Lv J (2008) Application of nanofluids in engine cooling system, SAE Technical Paper 2008-01-1821. https://doi.org/10.4271/2008-01-1821

  10. Sheremet MA, Pop I, Mahian O (2018) Natural convection in an inclined cavity with time-periodic temperature boundary conditions using nanofluids: application in solar collectors. Int J Heat Mass Transf 116:751–761

    Article  Google Scholar 

  11. Ho CJ, Chen DS, Yan WM, Mahian O (2014) Buoyancy-driven flow of nanofluids in a cavity considering the Ludwig–Soret effect and sedimentation: numerical study and experimental validation. Int J Heat Mass Transf 77:684–694

    Article  Google Scholar 

  12. Mahian O, Kianifar A, Heris SZ, Wongwises S (2016) Natural convection of silica nanofluids in square and triangular enclosures: theoritical and experimental study. Int J Heat Mass Transf 99:792–804

    Article  Google Scholar 

  13. Ho CJ, Chen DS, Yan WM, Mahian O (2014) Rayleigh-Benard convection of Al\(_2\)O\(_3\)/water nanofluids in a cavity considering sedimentation, thermophoresis, and Brownian motion. Int Commun Heat Mass Transf 57:22–26

    Article  Google Scholar 

  14. Heris SZ, Pour MB, Mahian O, Wongwises S (2014) A comparative experimental study on the natural convection heat transfer of different metal oxide nanopowders suspended in turbine oil inside an inclined cavity. Int J Heat Mass Transf 73:231–238

    Article  Google Scholar 

  15. Rashidi I, Mahian O, Lorenzini G, Biserni C, Wongwises S (2014) Natural convection of Al\(_2\)O\(_3\)/water nanofluid in a square cavity: effects of heterogeneous heating. Int J Heat Mass Transf 74:391–402

    Article  Google Scholar 

  16. Oztop HF, Estelle P, Yan WM, Al-Salem K, Orfi J, Mahian O (2015) A brief review of natural convection in enclosures under localized heating with and without nanofluids. Int Commun Heat Mass Transf 60:37–44

    Article  Google Scholar 

  17. Apacoglu B, Kirez O, Kakac S, Yazicioglu A.G (2011) Enhancement of convective heat transfer in laminar and turbulent flows with nanofluids. In: 2011 VIII Minsk International Seminar, Minsk, Belarus, September, pp 12–15

  18. Guan W, Jin M, Fan Y, Chen J, Xin P, Li Y, Dai K, Zhang H, Huang T, Ruan J (2014) Finite element modeling of heat transfer in a nanofluid filled transformer. IEEE Trans Magn 50(2):253–256

    Article  Google Scholar 

  19. COMSOL Multiphysics v.5.1 User Guide, fluid flow and heat transfer applications mode

  20. McNab GS, Meisen A (1973) Thermophoresis in liquids. J Colloid Interface Sci 44(2):339

    Article  Google Scholar 

  21. Thermal properties of MIDEL 7131, Technical data sheet No. 4, July 2010, M&I Materials Ltd

  22. Zhang Y, Li L, Ma HB, Yang M (2009) Effect of Brownian and thermophoretic diffusions of nanoparticles on non-equilibrium heat conduction in a nanofluid layer with periodic heat flux. Numer Heat Transf Part A 56:325–341

    Article  Google Scholar 

  23. Anbuchezhian N, Srinivasan K, Chandrasekaran K, Kandasamy R (2012) Thermophoresis and Brownian motion effects on boundary layer flow of nanofluid in presence of thermal stratification due to solar energy. Appl Math Mech (English Edition) 33(6):765–780

    Article  MathSciNet  MATH  Google Scholar 

  24. Hwang JWG (2010) Elucidating the mechanisms behind pre-breakdown phenomena in transformer oil systems, Ph.D. thesis, Massachusetts Institute of Technology

  25. Mohammadian SK, Zhang Y (2014) Analysis of nanofluid effects on thermoelectric cooling by micro-pin-fin heat exchangers. Appl Therm Eng 70:282–290

    Article  Google Scholar 

  26. Rosillo ME, Herrera CA, Jaramillo G (2012) Advanced thermal modeling and experimental performance of oil distribution transformers. IEEE Trans Power Deliv 27(4):1710–1717

    Article  Google Scholar 

  27. Bejan A (1985) Heat transfer. Wiley, New York

    MATH  Google Scholar 

  28. C57.12.00-2015—IEEE Standard for general requirements for liquid-immersed distribution, power, and regulating transformer

  29. Pendyala R, Ilyas SU, Lim LR, Marneni N (2016) CFD analysis of heat transfer performance of nanofluids in distributor transformer. In: 4th International conference on process engineering and advanced material, procedia engineering, vol 148, pp 1162–1169

  30. Azizov AS, Andreev AM, Kostelov AM, Yu I (2009) Thermal conductivity of the insulation system of the stator winding of a high-power turbogenerator with air cooling. Russ Electr Eng 80(3):128–131

  31. Odenbach S (2002) Magnetoviscous effects in ferrofluids. Springer, Berlin, pp 185–201

    MATH  Google Scholar 

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Acknowledgements

The authors would like to thank NERIST TEQIP II for the support provided.

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  1. Department of Electrical Engineering, NERIST, Nirjuli, Arunachal Pradesh, 791109, India

    Anu Kumar Das & Saibal Chatterjee

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  1. Anu Kumar Das
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  2. Saibal Chatterjee
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Correspondence to Anu Kumar Das.

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Das, A.K., Chatterjee, S. Analysis of thermophoresis and Brownian motion effect in heat transfer for nanofluid immersed distribution transformer. Electr Eng 100, 1963–1974 (2018). https://doi.org/10.1007/s00202-017-0676-2

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