Numerical Simulation of Turbulent Natural Convection and Heat Transfer in a Rectangular Enclosure Using the 𝒌� − 𝝎� Model
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Date
2020
Authors
John, Emily Nafula
Journal Title
Journal ISSN
Volume Title
Publisher
Kenyatta University
Abstract
Turbulent flow is a type of fluid flow in which the fluid undergoes irregular fluctuations.
The velocity of the fluid at a point is continuously undergoing changes in both magnitude
and direction. Turbulent natural convection has been studied both numerically and
theoretically. It plays an important role in the field of heat transfer and buildings
environment. A numerical study was performed on a rectangular enclosure with varying
Rayleigh numbers to determine velocity, temperature distributions and turbulent intensities
of a two dimensional buoyancy driven turbulent flow. The vertical walls of the enclosure
are kept at a constant temperature difference of 18𝐾 while horizontal walls are adiabatic.
The RANS, energy and turbulent transport equations with Boussinesq approximations
were discretized using Finite Difference method. The low Reynolds 𝑘 −omega (𝑘 − 𝜔)
two equation model was used. The Rayleigh number range 1010 ≤ 𝑅𝑎 ≤ 1013 with
constant Aspect ratio and Prandtl number 0.71 were used. The contours of total
temperature distribution, velocity magnitude and turbulent intensity have been represented.
Based on the numerical results as the Rayleigh number increases, the turbulent intensity
increases.
Description
A Research Project Submitted In Partial Fulfillment of the Requirements for the
Award of the Degree of Master of Science in Applied Mathematics in the School of
Pure and Applied Sciences of Kenyatta University
Keywords
Numerical Simulation, Turbulent Natural Convection, Heat Transfer, 𝒌� − 𝝎� Model