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.
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.
| Original language | English |
|---|---|
| Pages (from-to) | 19-30 |
| Number of pages | 12 |
| Journal | International Journal of Nonlinear Science |
| Volume | 2013 |
| Issue number | 1 |
| Publication status | Published - 2013 |
Bibliographical note
© 2013 CMSIMKeywords
- non-linear
- bifurcation
- stability
- volumetric heating
- asymmetric boundaries