A two-phase numerical study of buoyancy-driven convection of alumina–water nanofluids in differentially-heated horizontal annuli

Enhanced natural convection heat transfer of nanofluids in enclosures with two adjacent walls heated and the two opposite walls cooled

“…(11) and (15) has already been tested by way of a comparative analysis with experimental data-sets different from those used in generating them, see, e.g., Corcione et al [27], a further comparison with the data of effective thermal conductivity and dynamic viscosity reported by Ho et al [6], Putra et al [1], Hu et al [7], Hu et al [8], and Wen and Ding [2,3], is displayed in Figs. 2 and 3, showing a satisfactory degree of agreement.…”

“…4. Full details on the validation of the numerical code are available in a couple of studies recently performed by Corcione et al [12,27].…”

Melting heat transfer on MHD convective flow of a nanofluid over a stretching sheet with viscous dissipation and second order slip

“…Generally speaking, numerical simulation of the velocity field, the temperature field and the heat transfer rate of nanofluids can be performed using either a single-phase approach [18][19][20][21] or a two-phase approach [22][23][24][25][26]. The former assumes that the base fluid and the nanoparticles are in thermal equilibrium, and thus, move with the same velocity.…”

Numerical simulation of natural convection and mixed convection of the nanofluid in a square cavity using Buongiorno model

“…As the slip velocity between the base fluid and particles may not be zero, more complex methods, such as two-phase mixture models, rather than single-phase models, are developed [27][28][29][30][31][32][33][34]. In a pioneering work, Buongiorno [27] presented Brownian diffusion and thermophoresis as two important primary slip mechanisms between solid and liquid phases.…”