Flow rate–pressure drop relations for new configurations of slender compliant tubes arising in microfluidics experiments

نویسندگان

چکیده

We investigate the steady-state fluid--structure interaction between a Newtonian fluid flow and deformable microtube in two novel geometric configurations arising recent microfluidics experiments. The first configuration is cylindrical fluidic channel surrounded by an annulus of soft material with rigid outer wall, while second one extruded from rectangular slab material. In each configuration, we derive mathematical theory for nonlinear rate--pressure drop relation coupling lubrication linear elasticity inner tube wall's deformation. Using conduit's axial slenderness its axisymmetry, obtain analytical expression radial displacement plane-strain configuration. predicted field, resulting closed-form relation, are validated against three-dimensional direct numerical simulations via SimVascular's two-way-coupled solver, svFSI, showing good agreement. also show that weak inertia can be easily incorporated derivation, further improving agreement larger imposed rates.

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ژورنال

عنوان ژورنال: Mechanics Research Communications

سال: 2022

ISSN: ['0093-6413', '1873-3972']

DOI: https://doi.org/10.1016/j.mechrescom.2022.104016