Effect of magnetic field and thermal radiation on natural convection in a square cavity filled with TiO2 nanoparticles using Tiwari-Das nanofluid model

TLDR: In this article , a finite difference method is implemented to solve the governing non-linear partial differential equations representing momentum and temperature equations, which shows that the temperature of TiO2-EG nanofluid escalates inside the cavity with higher values of (M).

Abstract: Numerical investigation on natural convection heat transfer of Tiwari - Das model nanofluid inside a square cavity with thermal radiation and magnetic field is carried out in this analysis. Ethylene GlycolEGis considered as base fluid and TiO2 (Titanium Oxide) considered as nanoparticles for the present investigation. The side horizontal walls of cavity are assumed to be adiabatic and isothermal conditions on both sides walls are considered in this analysis. The finite difference method is implemented to solve the governing non-linear partial differential equations representing momentum and temperature equations. The sway of volume fraction parameter(0.01≤ϕ≤0.09), magnetic field parameter(1.0≤M≤3.0), Rayleigh number (100≤Ra≤1000), radiation parameter (0.1≤R≤0.9), Reynolds number (0.1≤Re≤0.5) and Prandtl number (5.2≤Pr≤7.2) on TiO2-EG nanofluid flow and heat transfer is illustrated through graphs. Furthermore, the codes of average Nusselt number with dissimilar values of pertinent parameters are also calculated and results are depicted through graphs. The result shows that, temperature of TiO2-EG nanofluid escalates inside the cavity with higher values of (M). Higher heat can be transferred from hot wall to cold wall when radiation parameter (R) intensifies.