Buoyant flow in a vertical fluid saturated porous annulus: The Brinkman model

详细信息    查看全文

• 作者：Eugenia Rossi di Schio^a ; ^{eugenia.rossidischio@unibo.it} ; Michele Celli^a ; ^{michele.celli3@unibo.it} ; Ioan Pop^b ; ^{pop.ioan30@yahoo.com}
• 关键词：Laminar flow ; Natural convection ; Brinkman model ; Porous medium ; Oberbeck-Boussinesq approximation
• 刊名：International Journal of Heat and Mass Transfer
• 出版年：2011
• 出版时间：March 2011
• 年：2011
• 卷：54
• 期：7-8
• 页码：1665-1670
• 全文大小：386 K

文摘

Laminar, steady and parallel buoyant flow in a concentric vertical annulus filled with a porous medium is studied. The Darcy–Brinkman model and the Oberbeck–Boussinesq approximation are employed. The governing equations are written in a dimensionless form and solved analytically by means of the variation of constants method. In order to investigate the onset of flow reversal, both at the inner and at the outer boundary, a dimensionless reference temperature θ₀ is introduced. Moreover, this quantity is related to the usual Gr/Re parameter. The limiting cases of Darcy flow and clear fluid are investigated as well.