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 109, 1.44 x 1010 and 1.15 x 1011.
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. The results of the investigation are
presented for the distribution of the velocity and temperature components. The
non – linear terms and
in the averaged momentum and energy equations
respectively are modelled using the k- ε model to close the governing
equations. The cavity is maintained at 313K on the hot wall and 293K on the
opposite cold wall. The horizontal walls are adiabatic. The results obtained
show that as the Rayleigh number increases, the values of the stream function
increases. As the Rayleigh number increases, uniform distribution of heat
inside the cavity is achieved.
Author(s) Details
Mutili Peter Mutisya
School of Pure and Applied
Sciences, Kenyatta University, Box 43844 – 00100, Nairobi, Kenya.
Awuor Kennedy Otieno
School of Pure and Applied
Sciences, Kenyatta University, Box 43844 – 00100, Nairobi, Kenya.
View Volume: https://doi.org/10.9734/bpi/amacs/v3
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