Numerical Simulation of Turbulent Natural Convection and Heat Transfer in a Rectangular Enclosure Using the 𝒌� − 𝝎� Model

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dc.contributor.authorJohn, Emily Nafula
dc.date.accessioned2021-03-03T11:50:50Z
dc.date.available2021-03-03T11:50:50Z
dc.date.issued2020
dc.descriptionA 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 Universityen_US
dc.description.abstractTurbulent 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.en_US
dc.identifier.urihttp://ir-library.ku.ac.ke/handle/123456789/21726
dc.language.isoenen_US
dc.publisherKenyatta Universityen_US
dc.subjectNumerical Simulationen_US
dc.subjectTurbulent Natural Convectionen_US
dc.subjectHeat Transferen_US
dc.subject𝒌� − 𝝎� Modelen_US
dc.titleNumerical Simulation of Turbulent Natural Convection and Heat Transfer in a Rectangular Enclosure Using the 𝒌� − 𝝎� Modelen_US
dc.typeThesisen_US
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