Instability of inclined fluid-film flow with substrate filtration
Keyword(s):
Gravity-driven flows of thin fluid films with a free surface along a porous substrate occur in many important circumstances found in industry and natural settings. In this thesis a model for such flows is derived by coupling the Navier-Stokes equations governing the clear flow in the fluid film with Darcy's law for the filtration of fluid through the porous medium. A linear stability analysis is conducted and the effect of various parameters on the state of neutral stability is investigated. A simplified model is developed by reducing the dimensionality of the problem, which is then employed in order to determine the nonlinear effects on the stability of the equilibrium flow.
1976 ◽
Vol 78
(2)
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pp. 355-383
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Keyword(s):
2015 ◽
Vol 55
◽
pp. 160-172
Keyword(s):
2011 ◽
Vol 1
(3)
◽
pp. 215-234
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2019 ◽
Vol 234
(2)
◽
pp. 165-172