Numerical modeling of Buongiorno’s nanofluid on free convection: thermophoresis and Brownian effects

In this research, numerical modeling is conducted on free convective flow inside a trapezoidal domain with sinusoidal material and temperature allocations at both inclined boundaries using Buongiorno’s nanofluid. The model considers thermophoresis Brownian activity effects taking place in the flow, as well concentration contours. Non-uniform nanoparticle solid have been imposed surfaces. Top bottom parallel surfaces kept adiabatic. All walls considered no-slip impermeable. leading equations addition border conditions are initially converted into dimensionless pattern by suitable similarity transformation then resolved arithmetically employing finite element technique Galerkin’s residual. of nanofluid thermal transports, structure has investigated detail. Outcomes displayed form velocity, temperature, contours various governing factors like action, Lewis number, Buoyancy relation, thermophoresis, Rayleigh Prandtl etc. Also, rate transport calculated. heat, fields identified finally, controlling parameters for specific applications trapezium-shaped cavity obtained. Result demonstrates that increase action guides to enhance 34.75 34.27% right left walls, respectively.