Natural Convection of Reacting Chemical in Square Enclosure with Circular Cylinder

Abstract

Natural convection characteristics of a reacting chemical are presented considering a circular cylinder at different locations in a square cavity. The problem is formulated providing a detailed description of the transformations. To end, the physical domain is changed to the computational domain using a suitable coordinate transformation. We then solve the equations employing the finite difference method. The magnitude of stream function and maximum temperature are in general substantially augmented owing to the increase of horizontal, vertical, or diagonal distance between the centers of the circular cylinder and the square enclosure. But in the case of changing the vertical or diagonal locations the above quantities for a cylinder down from the horizontal centerline are found to be higher than those for a cylinder up from it. For higher values of the Lewis number (), Rayleigh number (), and buoyancy force parameter (), magnitude of stream function increases, whereas maximum temperature decreases. Contrary to this, the Frank-Kamenetskii number () strongly enhances the strength of stream function and the maximum temperature. From this investigation, one can achieve knowledge to formulate a problem for more complex geometry. In addition, the results might be used to improve the shortcomings of present technologies or to invent a new state-of-the-art technology.