a numerical investigation of transient natural convection heat transfer of aqueous nanofluids in a differentially heated square cavity

transient natural convection heat transfer of aqueous nanofluids in a differentially heated square cavity is investigated numerically. the effective thermal conductivity and dynamic viscosity of nanofluids are predicted by using the proposed models that take the contribution of brownian motion of nanoparticles into account. three different rayleigh numbers and five different volume fractions of nanoparticles are considered. the development of natural convection is presented through the evolutions of the average nusselt number along the cold side wall. the predicted flow development times and time-averaged nusselt numbers are scaled with rayleigh number. in addition, the time-averaged nusselt numbers are presented in terms of volume fraction of nanoparticles. it is shown that at constant rayleigh numbers, the time-averaged nusselt number is lowered with increasing volume fraction of nanoparticles.