Unsteady natural convection and statistical analysis in a CNT-water filled cavity with non-isothermal heating

A computational study has been done in this work to investigate the effects of CNT-water nanofluids in a cavity with non-isothermal heating for higher Rayleigh numbers. The cavity is heated non-isothermally from the bottom wall, it is cooled from the top and vertical walls are adiabatic. Unsteady governing equations of heat and fluid flow are solved via finite element method for different parameters as Ra and ϕ. A correlation analysis shows that, when controlling for ϕ and τ there was a significant correlation between Ra and Num. When controlling for Ra and ϕ there was a negative significant correlation between τ and Num. It is also found that there is an optimum value for nanofluid volume fraction to control heat transfer, temperature distribution and flow field.