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Purpose
The purpose of this paper is to investigate the thermal convection inside a spatially modulated domain.
Design/methodology/approach
The governing equations are mapped onto an infinite strip, allowing Fourier expansion of the flow and temperature in the streamwise direction.
Findings
Similar to Rayleigh‐Benard convection, conduction is lost to convection at a critical Rayleigh number, which depends strongly on both the modulation amplitude and the wavenumber. The effect of modulation is found to be destabilizing (stabilizing) for conduction for relatively large (small) modulation wavelength. Oscillatory convection sets in as the Rayleigh number is increased.
Originality/value
This paper presents novel results.
© Emerald Group Publishing Limited
2010
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