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Prediction Of Convective Heat Transfer Of Nanofluids Based On Fractal-Monte Carlo Simulations

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  • BO-QI XIAO

    (School of Physics and Electromechanical Engineering, Sanming University, Sanming 365004, P. R. China;
    Institute of Textiles and Clothing, Hong Kong Polytechnic University, Kowloon, Hong Kong)

  • GUO-PING JIANG

    (Earthquake Engineering Research Test Center, Guangzhou University, Guangzhou 510405, P. R. China)

  • YI YANG

    (Department of Civil and Structural Engineering, Hong Kong Polytechnic University, Kowloon, Hong Kong)

  • DONG-MEI ZHENG

    (School of Physics and Electromechanical Engineering, Sanming University, Sanming 365004, P. R. China)

Abstract

With the consideration of the Brownian motion of nanoparticles in fluids, the probability model for the size of nanoparticles and the model for convective heat transfer of nanofluids are derived based on the fractal character of nanoparticles. The proposed model is expressed as a function of the size of nanoparticles, the volumetric nanoparticle concentration, the thermal conductivity of base fluids, fractal dimension of nanoparticles and the temperature, as well as the random number. It is found that the convective heat flux of nanofluids decreases with increasing of the average diameter of nanoparticles. This model has the characters of both analytical and numerical solutions. The Monte Carlo simulations combined with the fractal geometry theory are performed. Every parameter of the proposed formula on convective heat transfer of nanofluids has clear physical meaning. So the proposed model can reveal the physical mechanisms of convective heat transfer of nanofluids.

Suggested Citation

  • Bo-Qi Xiao & Guo-Ping Jiang & Yi Yang & Dong-Mei Zheng, 2013. "Prediction Of Convective Heat Transfer Of Nanofluids Based On Fractal-Monte Carlo Simulations," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(01), pages 1-12.
    • Handle: RePEc:wsi:ijmpcx:v:24:y:2013:i:01:n:s0129183112500908
    DOI: 10.1142/S0129183112500908
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