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High Rayleigh number flows in a cubical enclosure

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dc.contributor.advisor Ahmed, Ikramuddin
dc.contributor.author Bende, Balaraju
dc.date.accessioned 2011-08-21T22:44:49Z
dc.date.available 2011-08-21T22:44:49Z
dc.date.copyright 2010 en
dc.date.issued 2010-12
dc.identifier.other t10077
dc.identifier.uri http://hdl.handle.net/10057/3665
dc.description Thesis (M.S.)--Wichita State University, College of Engineering, Dept. of Mechanical Engineering. en_US
dc.description.abstract The current study was undertaken with an intention to verify and extend the boundaries of the work produced by Xia & Murthy [24] and Vargas [23] on natural convective flows inside a cubical enclosure to observe the transition to turbulence. Their primary focus was to better understand the flows inside a cubical enclosure at higher Rayleigh numbers (Ra) with the help of Direct Numerical Simulation (DNS). This helps in understanding the mixing process that takes place inside the center wing tank of a commercial airplane. The motivation behind the current study was to stretch the limits of the work done by Vargas by adapting central differencing scheme (CDS) of discretization at three different grid sizes of 50^3, 75^3 and 90^3 with DNS. In order to achieve this task, we used the code developed by FLUENT for finite volume method. The cavity was created and meshed in GAMBIT with the bottom wall heated, top wall cooled and the side walls maintained adiabatic. Then, the Ra is varied between 2 x 10^4 and 10^9 maintaining the Prandtl number (Pr) to be constant at 2.5. Initially, the results were verified with those of Vargas and Xia & Murthy and similar observations were made with steady convective flows at Ra = 2 x 10^4, 10^5 and 2 x 10^5. Periodic flows were captured at the critical Ra = 4.07 x 10^5 beyond which flows exhibited the chaotic nature until Ra = 10^9. The work was then carried forward with the idea of employing the CDS of discretization at higher Ra up to 10^9 along with a finer grid density of 90^3 control volumes. The power spectrum slopes have been compared with the Kolmogorov’s -5/3 rule for turbulent flows to observe the transition to turbulence. en_US
dc.format.extent xiv, 52 leaves, ill. en
dc.language.iso en_US en_US
dc.publisher Wichita State University en_US
dc.rights Copyright Balaraju Bende, 2010. All rights reserved en
dc.subject.lcsh Electronic dissertations en
dc.title High Rayleigh number flows in a cubical enclosure en_US
dc.type Thesis en_US

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