Two-dimensional convection rolls are resonantly excited when the Rayleigh number (Ra) is close to the critical value (Ra//c) if a spatially periodic variation of the wall temperature occurs with a wavelength close to the critical value. In this paper, the amplitude of the variation is taken to decay slowly away from the point of maximum thermal forcing, so that the forcing is localized. For a case when the forcing decays exponentially, the amplitude of convection decays algebraically if Ra equals Ra//c. For Ra greater than Ra//c, three solutions exist, of which one exhibits a highly nonlinear behavior.
|Original language||English (US)|
|Number of pages||14|
|Journal||American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD|
|State||Published - Dec 1 1985|
ASJC Scopus subject areas
- Mechanical Engineering
- Fluid Flow and Transfer Processes