Thermal conductivity equations for the suspension of nanoparticles (nanofluids) have been derived from the kinetic theory of particles under relaxation time approximations. These equations, which take into account the microconvection caused by the particle Brownian motion, can be used to evaluate the contribution of particle Brownian motion to thermal transport in nanofluids. The relaxation time of the particle Brownian motion is found to be significantly affected by the long-time tail in Brownian motion, which indicates a surprising persistence of particle velocity. The long-time tail in Brownian motion could play a significant role in the enhanced thermal conductivity in nanofluids, as suggested by the comparison between the theoretical results and the experimental data for the -in-water nanofluids.
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Thermal Conductivity Equations Based on Brownian Motion in Suspensions of Nanoparticles (Nanofluids)
Bao Yang
Bao Yang
Nanoscale Heat Transfer and Energy Conversion Laboratory, Mechanical Engineering Department,
e-mail: baoyang@umd.edu
University of Maryland
, College Park, MD 20742
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Bao Yang
Nanoscale Heat Transfer and Energy Conversion Laboratory, Mechanical Engineering Department,
University of Maryland
, College Park, MD 20742e-mail: baoyang@umd.edu
J. Heat Transfer. Apr 2008, 130(4): 042408 (5 pages)
Published Online: March 18, 2008
Article history
Received:
January 24, 2007
Revised:
March 4, 2007
Published:
March 18, 2008
Citation
Yang, B. (March 18, 2008). "Thermal Conductivity Equations Based on Brownian Motion in Suspensions of Nanoparticles (Nanofluids)." ASME. J. Heat Transfer. April 2008; 130(4): 042408. https://doi.org/10.1115/1.2789721
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