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Study on the formation of Goertler vortices in natural convection flow over a rotating concave surface. (English) Zbl 1151.74405
Summary: This paper presents a numerical study of the formation of Görtler vortices in natural convection flow over a concave surface with rotation. The onset position characterized by the Grashof number $$Gr_{\delta_{r}}$$, depends on the rotational Reynolds number, the Prandtl number ($$Pr$$ = 0.7 for air) and the wave number. The buoyancy force and Coriolis force are found to significantly affect the flow structure and heat transfer. However, centrifugal force has minor stabilizing effect on the flow. Positive rotation stabilizes the boundary layer flow on the concave surface. On the contrary, negative rotation destabilizes the flow. The numerical data show reasonable agreement with the experimental results in the case of zero rotation.

##### MSC:
 74R10 Brittle fracture 76D10 Boundary-layer theory, separation and reattachment, higher-order effects 76E06 Convection in hydrodynamic stability 76E07 Rotation in hydrodynamic stability 76U05 General theory of rotating fluids
##### Keywords:
Natural convection; Grashof number; Görtler vortices; Rotation
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