Numerical Simulation of Natural Convection in A Cavity Filled with A Nanofluid Who's Wall Containing the Heat Source Is Inclined

Jamal Ghouizi, Mohamed Nabou, Mohammed Elmir, Mohamed Douha, Mehdi Berramdane
2020 Journal of Advanced Research in Fluid Mechanics and Thermal Sciences  
In this work, a numerical study of natural convection in a trapezoidal cavity with aspect ratio A, filled with a nanofluid whose wall containing the square heat source of side dimensionless ε = 0.1 is successively inclined at an angle varying from 0 to 60 ° at the most (in order to maintain a valid model straight vertical wall) with respect to the horizontal. The upper and lower walls on either side of the heat source are adiabatic while the other walls are subjected to a constant cold
more » ... stant cold temperature. The hydrodynamic and thermal phenomena are described by the equations of Navier-Stokes and energy. The models Brinkman and Wasp are used to describe the thermo-physical properties of the nanofluid (water-2 3 ). The finite element method; based on the Galerkin principle; is used to solve the system of partial differential equations. the effect of the solid volume fraction and the angle of inclination of the lower wall for different values of the Rayleigh number on the results obtained, are considered in the form of isotherms, local and average modified Nusselt numbers.
doi:10.37934/arfmts.76.1.116 fatcat:fa6ij6nvejgwrdpa3hx64hctfq