Pattern formation in volumetrically heated fluids

Cartland-Glover, Gregory, Fujimura, Kaoru and Generalis, Sotos Pattern formation in volumetrically heated fluids. International Journal of Nonlinear Science, 2013 (1), pp. 19-30.


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 > Non-linearity and complexity research group
Engineering & Applied Sciences > Mathematics
Uncontrolled Keywords: non-linear,bifurcation,stability,volumetric heating,asymmetric boundaries


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