Classification of Flow Modes for Natural Convection in a Square Enclosure with an Eccentric Circular Cylinder

Hyun-Sik Yoon and Yoo-Jeong Shim
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Hyun-Sik Yoon: Department of Naval Architecture and Ocean Engineering, Pusan National University, 2 Busandaehak-ro 63beon-gil, Gumjeong-gu, Busan 46241, Korea
Yoo-Jeong Shim: Department of Naval Architecture and Ocean Engineering, Pusan National University, 2 Busandaehak-ro 63beon-gil, Gumjeong-gu, Busan 46241, Korea

Energies, 2021, vol. 14, issue 10, 1-22

Abstract: The present study investigated the natural convection for a hot circular cylinder embedded in a cold square enclosure. The numerical simulations are performed to solve a two-dimensional steady natural convection for three Rayleigh numbers of 10 3 , 10 4 and 10 5 at a fixed Prandtl number of 0.7. This study considered the wide range of the inner cylinder positions to identify the eccentric effect of the cylinder on flow and thermal structures. The present study classifies the flow structures according to the cylinder position. Finally, the present study provides the map for the flow structures at each Rayleigh number ( Ra ). The Ra = 10 3 and 10 4 form the four modes of the flow structures. These modes are classified by mainly the large circulation and inner vortices. When Ra = 10 5 , one mode that existed at Ra = 10 3 and 10 4 , disappears in the map of the flow structures. The new three modes appear, resulting in total six modes of flow structures at Ra = 10 5 . New modes at Ra = 10 5 are characterized by the top side secondary vortices. The corresponding isotherms are presented to explain the bifurcation of the flow structure.

Keywords: map of flow structures; inner cylinder; enclosure; natural convection (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
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