DOI
Published 2023-11-29
Keywords
- rayleigh number,
- finite volume method,
- benchmark solutions,
- complex boundaries
Abstract
In the present work a computer code has been developed for heat transfer problems. SIMPLE algorithm based on finite volume method has been used. Deferred QUICK scheme have been implemented for all calculations. To solve momentum, pressure correction and energy equations, a solver (Line-by-Line solver) is used. This code is used for natural convection problems for Ra = 10³, 10⁴, 10⁵, 10⁶ and Pr = 0.71. The results were compared with the benchmark solution of de Vahl Davis, Markatos and Perikleous and Hadjisophocleous et al. for Ra = 10³, 10⁴, 10⁵, 10⁶ and Pr = 0.71. Very good agreements were obtained except for the x and y location of the maximum u and v velocity to the mid-plane.