Numerical Investigation of Natural Turbulence Convection in a Three Dimensional Enclosed Chamber by Use of K- Ω Model and the Simplec Method

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dc.contributor.advisorKennedy O. Awuoren_US
dc.contributor.advisorKimunguyi Kiliswa Josephsen_US
dc.contributor.authorSolomon, George Musyoki
dc.date.accessioned2022-08-26T06:03:02Z
dc.date.available2022-08-26T06:03:02Z
dc.date.issued2022
dc.descriptionA Project Submitted in Partial Fulfillment of the Requirement for the Award of Degree of Master of Science in Applied Mathematics in the School of Pure and Applied Sciences of Kenyatta University. June 2022en_US
dc.description.abstractTurbulent flows are highly unsteady (random), chaotic and three dimensional in motion. Turbulent flows have high Reynolds number, non-zero vorticity. Turbulent flows are diffusive and dissipate energy naturally. The aim of this project is to numerically investigate natural turbulent convection in a three dimensional enclosed chamber using k-ω model and SIMPLEC method. The research is to investigate temperature and velocity distribution in an enclosure. The equations governing the flow are Momentum, Continuity and Energy equations. The equations are first time averaged. The averaging process introduced non-linear terms where k-ω is used to model them. The emerging equations after modelling are non-dimensionalised and then discretized by FVM and the results solved using SIMPLEC algorithm. The numerical method is validated using benchmark experimental data provided by Markatos and Pericleous (1984). From the results, the method is stable and the governing equations are consistent. In this numerical investigation, the simulation yielded non-dimensional temperature of 0.46 against the benchmark experimental data of 0.5 at the core of the cavity.en_US
dc.description.sponsorshipKenyatta Universityen_US
dc.identifier.urihttp://ir-library.ku.ac.ke/handle/123456789/24077
dc.language.isoenen_US
dc.publisherKenyatta Universityen_US
dc.subjectK- Ω Modelen_US
dc.subjectSimplec Methoden_US
dc.subjectInvestigation of Natural Turbulence Convectionen_US
dc.subjectDimensional Enclosed Chamberen_US
dc.titleNumerical Investigation of Natural Turbulence Convection in a Three Dimensional Enclosed Chamber by Use of K- Ω Model and the Simplec Methoden_US
dc.typeThesisen_US
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