Hi everyone
It is known that the convective heat transfer of nanofluids depends on different parameters:
hnf= f(Density of particles, density of base fluids, V, D, Size of the particles (dp), Specific heat of base fluid (Cp), Specific heat of particles, Thermal conductivity of base fluid (kbf), thermal conductivity of particles (kp), solid volume fraction of particles, temperature)
does anyone has any ideas about the dimensionless numbers of nanofluids applying Buckingham's pi theories or other methods?
Dear Dr. Amin Asadi
In the literature, the governing dimensionless numbers of nanofluids are Nusselt and Reynolds number. In addition, to introduce the size of the particule, we use the Knudsen number. I recommend a few articles:
Article Effect of temperature jump on forced convective transport of...
Article Modeling of Subcontinuum Thermal Transport Across Semiconduc...
Convective heat transfer of nanofluids depends on the Brownian motion of nanoparticles and thermophoresis. These two mechanisms are governed by dimensionless quantities.
Nusselt Number, Sherwood Number, Hartmann number, Reynolds number, Prandtl number, Fourier Number and Eckert number may be used to analyze the flow and heat transfer of nano-fluids depending on the scope.
In addition to the previous answers, parameters appearance also depends on the model which you choose for example certain model uses empirical shape factor of nanoparticles, and some will have temperature in the co-relation etc etc..
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