Convection in rotating flows with simultaneous imposition of radial and vertical temperature gradients
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Laboratory experiments were conducted to study heat transport characteristics in a nonhomogeneously heated fluid annulus subjected to rotation along the vertical axis (z). The nonhomogeneous heating was obtained by imposing radial and vertical temperature gradient ({\Delta}T). The parameter range for this study was Rayleigh number, Ra=2.43x10^8-3.66x10^8, and Taylor number, Ta=6.45x10^8-27x10^8. The working fluid was water with a Prandtl number, Pr=7. Heat transport was measured for varying rotation rates ({\Omega}) for fixed values of {\Delta}T. The Nusselt number, Nu, plotted as a function of Ta distinctly showed the effect of rotation on heat transport. In general, Nu was found to have a larger value for non-rotating convection. This could mean an interplay of columnar plumes and baroclinic wave in our system as also evident from temperature measurements. Laser based imaging at a single vertical plane also showed evidence of such flow structure.
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Cited by 3 Pith papers
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Reduced Order Model for a Convective Rotating Annulus with Localized Forcing
A 10-variable Galerkin model with Bessel basis functions for a rotating convective annulus reproduces Nu ~ Ra^(1/4) scaling, rotational suppression, and explicit critical Rayleigh numbers.
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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 baroc...
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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.
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