Abstract
Shallow cavity flows driven by horizontal temperature gradients are analysed over a range of Rayleigh numbersR and Prandtl numbers σ, whereR is comparable in size to the aspect ratioL(≫1). Eigenvalue calculations show the existence of a critical Prandtl number ∂R > ∂R∂c(σ), below which the parallel core-flow structure is destroyed for Rayleigh numbersR>Rc(σ). For other Rayleigh numbers and Prandtl numbers the horizontal scale of influence of the end walls of the cavity is determined.
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