Investigation of Free Convection Flow over a Vertical Wavy Wall in Constant Temperature, Using a New Flux Model

In this research, free convection heat transfer over vertical sinusoidal wall in constant temperature has been performed, using Navier-Stokes equations in laminar flow regime with finite volume method. Also, a new pressurebased model for the convective fluxes is offered, which minimizes the need for artificial dissipation. The first and second-order versions of the suggested model are unable to calculate the convective fluxes with a good accuracy.Numerical results are well adapted with the numerical or experimental results of other researchers. In this study, the variable parameters are Reyleigh number and the ratio of domain length to the sinusoidal wave length. The results show that the local heat transfer coefficient variation frequency for space is equal to the wall frequency. Meanwhile,with increasing the Reyleigh number, the average heat transfer coefficient increases.