Thermal Behavior of the Natural Convection of Air Confined in a Trapezoidal Cavity
Windé Nongué Daniel Koumbem *
Universite Joseph Ki-Zerbo 03 BP 7021 Ouagadougou 03, Burkina Faso, Tamil Nadu, India.
Issaka Ouédraogo
Institut de Recherche en Sciences Appliquées et Technologies 03 BP 7047 Ouagadougou 03, Burkina Faso, Tamil Nadu, India.
Noufou Bagaya
Universite Joseph Ki-Zerbo 03 BP 7021 Ouagadougou 03, Burkina Faso, Tamil Nadu, India.
Pelega Florent Kieno
Universite Joseph Ki-Zerbo 03 BP 7021 Ouagadougou 03, Burkina Faso, Tamil Nadu, India.
*Author to whom correspondence should be addressed.
Abstract
The thermal behavior of air by natural convection in a confined trapezoidal cavity, one of the walls of which is subjected to a constant heat flow in hot climates, has been analyzed numerically. The heat and mass transfers are carried out by the classical equations of natural convection. These equations are discretized using the Finite Difference Method and the algebraic systems of equations thus obtained are solved with the Thomas and Gauss algorithms. We analyze the influence of the number on the current and isothermal lines as well as the effects of the aspect ratio A = l / H and the angle of inclination φ. In particular, we have shown that convective exchanges in the cavity are preponderant for high Ra numbers. Also we have watches the increase in the values of the isothermal lines and the decrease in the intensity of the streamlines for the low values of A and of the angle φ.
Keywords: Natural convection, thermal, trapezoidal cavity