Salam;
Is there any difference between Buongiorno's and Tiwari - Das's nanofluid models for Cf and Nu in the case of Natural convection flow , when the fraction of nanoparticles is < 4%
I find that with corcion's model , these two models give the same results , when the fraction of the nanoparticle is small .
Yes. There exists a significant difference between the two models.
There are two types of model that are used mathematically solve problems relating to nanofluids. One is a single phase model and the other is a two phase model. Tiwari and Das model is one example of single phase model. In single phase model the fluid, velocity and temperature they are taken as the same. Where in two phase model the velocity of the fluid and the nanoparticle is taken as different and also the temperature of the fluid and the nanoparticles they taken as different. The advantage of the single phase model is that because we ignore the slip mechanisms so the model is simplified one and it is easily to solve numerically. But the disadvantage of this method is that in some cases the numerical results differ from that obtained by experiments. In Tiwari and Das model volume concentration of nanoparticles ranges between 3% - 20%
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