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dc.creatorGunes, H.en
dc.creatorLiakopoulos, A.en
dc.date.accessioned2015-11-23T10:29:17Z
dc.date.available2015-11-23T10:29:17Z
dc.date.issued2003
dc.identifier10.1016/S0017-9310(02)00351-4
dc.identifier.issn179310
dc.identifier.urihttp://hdl.handle.net/11615/28245
dc.description.abstractThree-dimensional free convection in a vertical channel with spatially periodic, flush-mounted heat sources is investigated by a spectral element method. All numerical solutions are obtained using a time-accurate finite-difference integration scheme capable of capturing temporal instabilities that spontaneously appear at large values of Grashof number, Gr. In addition, the leading order approximation of the 3-D solution for small Gr is derived and compared with the numerical solutions. The agreement is excellent for sufficiently small Gr. Computations are carried out for a Boussinesq fluid, Prandtl number, Pr = 0.71, non-dimensional reference temperature, Θb* = 0.12 and values of Grashof number in the range 0.1 ≤ Gr≤ 5 x 104. For given aspect ratios, and for sufficiently small values of Grashof number, the solution evolves to a unique, time-independent state that exhibits the maximum symmetry consistent with the boundary conditions. At Gr* ≃ 28,000, self-sustained oscillations appear spontaneously in the flow and thermal fields. For time-dependent solutions (Gr ≥ Gr*) the symmetry of the flow and temperature fields breaks down. Temperature and velocity distributions as well as maximum temperature, maximum velocity and local Nusselt number distributions are presented for the values of Grashof number studied. For time-dependent flows, instantaneous as well as averaged-in-time solutions are discussed. © 2002 Elsevier Science Ltd. All rights reserved.en
dc.source.urihttp://www.scopus.com/inward/record.url?eid=2-s2.0-0037297678&partnerID=40&md5=5f4c6d734b36613e8246b91408226cd4
dc.subjectApproximation theoryen
dc.subjectBoundary conditionsen
dc.subjectFinite difference methoden
dc.subjectOscillationsen
dc.subjectThermal effectsen
dc.subjectVelocity measurementen
dc.subjectConvective coolingen
dc.subjectCoolingen
dc.subjectchannel flowen
dc.subjectconvectionen
dc.subjectheatingen
dc.subjectthree-dimensional flowen
dc.titleThree-dimensional convective cooling in a vertical channel with flush-mounted heat sourcesen
dc.typejournalArticleen


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