Data for paper On the boundary layer structure near a highly permeable porous interface

Name: Data for paper On the boundary layer structure near a highly permeable porous interface
Published: 2016-01-01T00:00:00Z
License: https://ora.ox.ac.uk/terms_of_use

Chapman, S; Dalwadi, M

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APA Style

Chapman, S., & Dalwadi, M. (2016). Data for paper On the boundary layer structure near a highly permeable porous interface. University of Oxford.

MLA Style

Chapman, S, and M Dalwadi. Data for Paper On the Boundary Layer Structure near a Highly Permeable Porous Interface. University of Oxford, 2016.

Chicago Style

Chapman, S, and M Dalwadi. 2016. Data for Paper On the Boundary Layer Structure near a Highly Permeable Porous Interface. University of Oxford.
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Files:: Data_for_paper_On_the_boundary_layer_structure.zip

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Authors/Creators

+ Chapman, S More by this author/creator

Department:: University of Oxford
Role:: Creator

+ Dalwadi, M More by this author/creator

Role:: Creator

+ Engineering and Physical Sciences Research Council More from this funder

Funding agency for:: Dalwadi, M
Grant:: EP/P505666/1

Publisher:: University of Oxford
Publication date:: 2016
DOI:: 10.5287/bodleian:8J1MQyGJO

Pubs id:: 1480531
UUID:: uuid:f11a63cc-9fab-4a02-9e9e-d197d836f5bc
Local pid:: pubs:1480531
Deposit date:: 2016-05-18
ARK identifier:: ark:/29072/ora_f11a63cc9fab4a029e9ed197d836f5bc

Related item:: On the boundary layer structure near a highly permeable porous interface
Description:: The method of matched asymptotic expansions is used to study the canonical problem ofsteady laminar flow through a narrow two-dimensional channel blocked by a tight-fittingfinite-length highly permeable porous obstacle. We investigate the behaviour of the localflow close to the interface between the single-phase and porous regions (governed by theincompressible Navier–Stokes and Darcy flow equations, respectively). We solve for theflow in these inner regions in the limits of low and high Reynolds number, facilitating anunderstanding of the nature of the transition from Poiseuille to plug to Poiseuille flow ineach of these limits. Significant analytical progress is made in the high-Reynolds-numberlimit, and we explore in detail the rich boundary layer structure that occurs. We derivegeneral results for the interfacial stress and for the conditions that couple the flow in theouter regions away from the interface. We consider the three-dimensional generalizationto unsteady laminar flow through and around a tight-fitting highly permeable cylindricalporous obstacle within a Hele-Shaw cell. For the high-Reynolds-number limit, we give thecoupling conditions and interfacial stress in terms of the outer flow variables, allowinginformation from a nonlinear three-dimensional problem to be obtained by solving a lineartwo-dimensional problem. Finally, we illustrate the utility of our analysis by consideringthe specific example of time-dependent forced far-field flow in a Hele-Shaw cell containinga porous cylinder with a circular cross-section. We determine the internal stress withinthe porous obstacle, which is key for tissue engineering applications, and the interfacialstress on the boundary of the porous obstacle, which has applications to biofilm erosion.In the high-Reynolds-number limit, we demonstrate that the fluid inertia can result inthe cylinder experiencing a time-independent net force, even when the far-field forcing isperiodic with zero mean.

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