Numerical simulations have been performed to study the effects of the inner wall rotation on the unsteady multicellular flow of natural convection in the conductive regime (Ra = 8000). We consider a tall air-filled vertical annulus between differentially heated concentric cylinders with the inner cylinder allowed to rotate. The unsteady Boussinesq equations are discretized using a finite volume method with a second order time stepping scheme. The natural convection flow is axisymmetric in this regime, whereas it is known that the mixed convection flow becomes 3D over a range of Reynolds number. We observe the transition in a range of Reynolds number close to the critical Reynolds number of the Taylor-Couette flow. The rotation has a weak influence on the axisymmetric time-periodic natural convection flow before the transition, whereas the flow becomes 3D and chaotic after.
Effect of Inner Wall Rotation on Multicellular Natural Convection Flow in a Vertical Annulus
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Sergent, A, Le Que´re´, P, & Vanka, SP. "Effect of Inner Wall Rotation on Multicellular Natural Convection Flow in a Vertical Annulus." Proceedings of the ASME 2003 Heat Transfer Summer Conference. Heat Transfer: Volume 3. Las Vegas, Nevada, USA. July 21–23, 2003. pp. 721-730. ASME. https://doi.org/10.1115/HT2003-47182
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