Pattern formation in volumetrically heated fluids

Abstract

Finite element simulations have been performed along side normal mode analysis on the linear stability that examined the development of volumetrically heated flow patterns in a horizontal layer controlled by the Prandtl number, Pr, and the Grashof number, Gr. The fluid was bounded by an isothermal plane above an adiabatic plane. In the simulations performed here, a number of convective polygonal planforms occurred, as Gr increased above the critical Grashof number, Grc at Pr = 7, while roll structures were observed for Pr < 1 at 2Grc.

Divisions: Engineering & Applied Sciences > Systems analytics research institute (SARI)
Engineering & Applied Sciences > Mathematics
Additional Information: © 2013 CMSIM
Uncontrolled Keywords: non-linear,bifurcation,stability,volumetric heating,asymmetric boundaries
Full Text Link: http://www.cmsi ... lis_1_19-30.pdf
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PURE Output Type: Article
Published Date: 2013
Authors: Cartland-Glover, Gregory ( 0000-0002-2647-2757)
Fujimura, Kaoru
Generalis, Sotos ( 0000-0001-7660-0633)

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