Can we apply Tiwari - Das model for nanofluids to model the non-Newtonian nanofluids( For example Sisko, Casson, Maxwell, etc.) or only Buongiorno’ model is applicable to non-Newtonian nanofluids.
I think that it is incorrect. Because the dynamic viscosity of non-Newtonian fluids is not a property of fluid. Buongiorno’ model accounts for seven mechanisms of nanoparticles dispersion, thus it can be applied with non-Newtonian fluids.
Thank you Muneer Ismael sir for your suggestion. I also think in the same way since Tiwari-Das model requires actual thermophysical properties of nanofluid but in the case of non-Newtonian fluid being a base fluid, we can not specifically define its thermophysical properties. Like viscosity of non-Newtonian fluids depends upon the applied shear rate and its not constant.
Vikash Pandey Sir I am modeling Sisko nanofluid (behaves like both shear thinning and shear thickening fluid) and Casson nanofluid (behaves like a shear-thinning fluid, usually used to model blood flow)
Abderrahim Wakif Thank you for your response. I don't need help in the formulation. I just want to know we can apply Tiwari and Das model to non- Newtonian fluids or not.
Yes, you can because there are many fluids which have specific properties and values of density and other....
For this please read this article in which we used the Tiwari model for sodium alginate as a base fluid (Casson fluid) Article Multiple solutions of Cu-C6H9NaO7 and Ag-C6H9NaO7 nanofluids...
Ankita Bisht you are right in case of blood and some fluids we can use Tiwari-Das model and sometimes do the mixed between two models for the same reason
Either a nanofluid is modeled as Newtonian or non-Newtonian, it depends on the level of the nanoparticles concentration (i.e. volume fraction). Practically speaking, all nanofluids behave as non-Newtonian fluids at a higher level of the nanoparticle concentration. The transport phenomenon modeled by Tiwari and Das (2007) was Newtonian fluid.
Ref: R.J. Tiwari, M.K. Das (2007) Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids, Int. J. Heat. Mass Transf. 50, 2002–2018.