Numerical Study of Natural Convection in a Vertical Channel, One of Whose Walls has Sinusoidal Protuberances

摘要

A numerical study of the thermal natural convection applied in a vertical channel containing air, one of whose walls comprises a corrugated part subjected to a uniform heat flux of constant density, is the subject of this research. The work consists in characterizing the natural convection as a function of the height of the protuberances forming the undulations and the intensity of the heat flow, which crosses the corrugated wall. We analyze in particular the structure of the flow and the distribution of temperature inside the channel. Knowledge of different physical parameters on the behavior of the system can help to better understand its functioning and to integrate it effectively into practical applications such as, for example, passive climate control of building. The equations governing the transfers inside the channel are discretized by the explicit finite difference method, the results are illustrated using stream lines and isotherms, for a range of Rayleigh numbers from 5.103 to 5·10~5, for different values of the amplitude of the protuberances and for a number of Prandtl Pr = 0,71 for air.