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.
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Hill, A.A., Straughan, B. (2010). Stability of Poiseuille Flow in a Porous Medium. In: Rannacher, R., Sequeira, A. (eds) Advances in Mathematical Fluid Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04068-9_17
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DOI: https://doi.org/10.1007/978-3-642-04068-9_17
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