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Viscous flow of a Newtonian fluid in a curved channel with flexible moving porous walls |
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| Authors: | D.M. Martinez D.J. Seo |
| Affiliation: | a Chemical and Biological Engineering, University of British Columbia, 2360 East Mall, Vancouver, Canada V6T 1Z3 b Hansol Paper R&D Center, 1674-2, Shinil-dong, Daedeok-ku, Daejeon, South Korea 306-230 c FP Innovations-Paprican 570 blvd St-Jean Pointe-Claire, Que., Canada H9R 3J9 |
| Abstract: | 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. |
| Keywords: | Fluid mechanics Porous media Filtration Modelling Papermaking |
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