Introduces Floquet-Bloch theory in azimuth combined with BiGlobal eigenvalue formulation to analyze linear stability of non-axisymmetric convective flows in a rotating baroclinic annulus, identifying cross-modal baroclinic and shear instabilities.
Banerjee, Axisymmetric Study of Convec- tion in Rotating Annulus in the Presence of Local- ized Heating, Physics of Fluids, Vol
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2D axisymmetric simulations show Nu scales as Ra^{1/4} with weak rotational influence at moderate/high Ra, rotational suppression at low Ra/high Ta, and heat transfer increasing with aspect ratio Γ up to 1.
citing papers explorer
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Linear Stability Analysis of convective flows in Rotating Baroclinic Annulus with Localized Peripheral Heating: A Floquet-BiGlobal Approach
Introduces Floquet-Bloch theory in azimuth combined with BiGlobal eigenvalue formulation to analyze linear stability of non-axisymmetric convective flows in a rotating baroclinic annulus, identifying cross-modal baroclinic and shear instabilities.
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Influence of Aspect ratio in the Convection in Rotating Annulus In the Presence of Localized Heating
2D axisymmetric simulations show Nu scales as Ra^{1/4} with weak rotational influence at moderate/high Ra, rotational suppression at low Ra/high Ta, and heat transfer increasing with aspect ratio Γ up to 1.