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A Numerical Study of Turbulent Natural Convection in a Square Enclosure Using a Two Equation Model | Chapter 01 | Advances in Mathematics and Computer Science Vol. 3

In this study the performance of one numerical turbulence model, k- ε is accessed. In predicting heat transfer due to natural convection inside an air-filled square cavity. Turbulent natural convection in an enclosure plays an important role in the field of heat transfer and buildings environment. Natural turbulent convection is square air cavities having isothermal vertical and highly heat – conducting horizontal walls are compared with the experimental data obtained for these cavities at a varying Rayleigh numbers, 1.8 x 10 9 , 1.44 x 10 10 and 1.15 x 10 11 . In carrying out numerical investigations, a two – dimensional, low turbulence, two – parameter k- ε model known as the Low – Reynolds – number k- ε turbulence model was used. The vorticity – vector potential formulation was used to eliminate the need to solve the pressure terms. The vorticity, vector potential energy and two – equation model with their boundary conditions were solved using finite difference approximations. T...