Viscous flow of a Newtonian fluid in a curved channel with flexible moving porous walls

We consider flow of a viscous Newtonian fluid in a curved channel with moving porous walls; the upper wall is flexible and its position in unknown a priori. This work is motivated from a papermaking application namely roll forming. We solve the leading order terms in equations of motion using pertur...

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Bibliographic Details
Published in:Chemical engineering science 2008-04, Vol.63 (7), p.1882-1889
Main Authors: Martinez, D.M., Seo, D.J., Jong, J.
Format: Article
Language:English
Subjects:
Applied sciences
Chemical engineering
Exact sciences and technology
Filtration
Fluid mechanics
Liquid-liquid and fluid-solid mechanical separations
Modelling
Papermaking
Porous media
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Summary:We consider flow of a viscous Newtonian fluid in a curved channel with moving porous walls; the upper wall is flexible and its position in unknown a priori. This work is motivated from a papermaking application namely roll forming. We solve the leading order terms in equations of motion using perturbation methods and present analytical expressions for the variation in channel size, pressure, and viscous shear. The stability of the solution is also examined and we report the conditions for marginal stability.
ISSN:0009-2509
1873-4405
DOI:10.1016/j.ces.2007.12.015