Stability of Poiseuille Flow in a Porous Medium

Antony A. Hill () and Brian Straughan ()
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Antony A. Hill: School of Mathematical Sciences, University of Nottingham
Brian Straughan: Durham University, Department of Mathematical Sciences

A chapter in Advances in Mathematical Fluid Mechanics, 2010, pp 287-293 from Springer

Abstract: Abstract We study the linear instability and nonlinear stability of Poiseuille flow in a porous medium of Brinkman type. The equivalent of the Orr-Sommerfeld eigenvalue problem is solved numerically. Difficulties with obtaining the spectrum of the porous Orr-Sommerfeld equation are discussed. The nonlinear energy stability eigenvalue problems are solved for x, z and y, z disturbances.

Keywords: Poiseuille flow; Porous media; Orr-Sommerfeld equation; Nonlinear stability (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-04068-9_17

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DOI: 10.1007/978-3-642-04068-9_17

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