Fluid flow over a thin deformable porous layer

Barry, Steven; Parker, Kim H.; Aldis, G.K.

doi:10.1007/bf00944763

Cited by 56 publications

(64 citation statements)

References 24 publications

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“…Following Barry et al [2], in particular, both for steady and unsteady flows, we can prove that at the interface when → 0 the velocity has behavior…”

Section: Advances In Mechanical Engineeringsupporting

confidence: 57%

“…With the symmetry of the geometry of problem, there are no velocities along the radial and circumference directions; that is, = = = = 0 everywhere in the tube. When the flow and solid start impulsively from rest and without moving boundaries, under these conditions, that is, / = / = / = / = 0 and volume expression Θ = 0, (1), (2), and (4) are automatically satisfied.…”

Section: Governing Equationsmentioning

confidence: 99%

“…Barry et al [2] derived the analytic solutions for a shear fluid over a thin deformable porous layer on the walls of a two-dimensional channel considering the porosity and permeability of the porous layer as constants; therefore, the coupled equations are linear. Barry et al [3] obtained a closed form solution for deformation of porous medium due to a source in a poroelastic medium.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic Analysis of Shear Flows over a Porous Medium in a Cylindrical Tube

Dwivedi

Singh

Lal

2013

Advances in Mechanical Engineering

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Dynamic responses of a viscous fluid flow introduced under a time dependent pressure gradient in a rigid cylindrical tube subject to deformable porous surface layer have been investigated. The coupling effect of the fluid movement and the deformation of the porous medium in Laplace transform space have been studied. Governing equations are simplified for the solid displacement and the fluid velocity in the porous layer. Using Durbin's algorithm, in transformed domain analytic solutions are obtained, and time dependent variables are considered. Interaction between the solid and the fluid phases in the porous layer and its effects on fluid flow in tube are investigated under steady and unsteady flow conditions when the solid phase is either rigid or deformable. Significant effects of the porous surface layer on the flow in the tube have been observed.

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“…Following Barry et al [2], in particular, both for steady and unsteady flows, we can prove that at the interface when → 0 the velocity has behavior…”

Section: Advances In Mechanical Engineeringsupporting

confidence: 57%

Section: Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dynamic Analysis of Shear Flows over a Porous Medium in a Cylindrical Tube

Dwivedi

Singh

Lal

2013

Advances in Mechanical Engineering

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“…The boundary conditions are the Saffman slip conditions [14] as given in Eq. To find the concentration distribution, we assume, following Taylor [1] , the longitudinal diffusion is much less than the transverse diffusion, which implies…”

Section: Electrohydrodynamic Dispersion Of Aerosolsmentioning

confidence: 99%

“…The aerosol medium is assumed to be homogeneous, incompressible and isotropic in the presence of the body force. In the literature [11][12][13][14] , mixture theory has been used to derive the basic equations for an ordinary fluid in the absence of electric field through assuming the mixture of aerosol and atmospheric fluid as deformable porous media. The dispersion of aerosols and other Suspended Particulate Matter (SPM) in the presence of electric field in atmospheric turbulent fluid has not been given much attention in the literature.…”

Section: Introductionmentioning

confidence: 99%

Electrohydrodynamic Dispersion of Deformable Aerosols in the Presence of an Electric Field and Chemical Reaction Using Taylor Dispersion Model

Rudraiah

Devaraju²,

2011

J Hydrodyn

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Under the effects of electric field and chemical reaction, the problem of dispersion of aerosols in a poorly conducting fluid in a channel is solved analytically using the mixture theory together with a regular perturbation technique. It is shown that the aerosols are dispersed relative to a plane moving with the mean speed of atmospheric fluid as well as the mean speed of agglomeration of aerosol with a relative diffusion coefficient, called the Taylor dispersion coefficient. This coefficient is numerically computed and the results reveal that it increases with an increase in the electric number, but decreases with increasing porous parameter. The physical explanations for the phenomena are given in this article.

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Microfluidics as a Powerful Tool to Investigate Microvascular Dysfunction in Trauma Conditions: A Review of the State‐of‐the‐Art

Bathrinarayanan,

Hallam,

Grover

et al. 2024

Advanced Biology

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Skeletal muscle trauma such as fracture or crush injury can result in a life‐threatening condition called acute compartment syndrome (ACS), which involves elevated compartmental pressure within a closed osteo‐fascial compartment, leading to collapse of the microvasculature and resulting in necrosis of the tissue due to ischemia. Diagnosis of ACS is complex and controversial due to the lack of standardized objective methods, which results in high rates of misdiagnosis/late diagnosis, leading to permanent neuro‐muscular damage. ACS pathophysiology is poorly understood at a cellular level due to the lack of physiologically relevant models. In this context, microfluidics organ‐on‐chip systems (OOCs) provide an exciting opportunity to investigate the cellular mechanisms of microvascular dysfunction that leads to ACS. In this article, the state‐of‐the‐art OOCs designs and strategies used to investigate microvasculature dysfunction mechanisms is reviewed. The differential effects of hemodynamic shear stress on endothelial cell characteristics such as morphology, permeability, and inflammation, all of which are altered during microvascular dysfunction is highlighted. The article then critically reviews the importance of microfluidics to investigate closely related microvascular pathologies that cause ACS. The article concludes by discussing potential biomarkers of ACS with a special emphasis on glycocalyx and providing a future perspective.

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Fluid flow over a thin deformable porous layer

Cited by 56 publications

References 24 publications

Dynamic Analysis of Shear Flows over a Porous Medium in a Cylindrical Tube

Dynamic Analysis of Shear Flows over a Porous Medium in a Cylindrical Tube

Electrohydrodynamic Dispersion of Deformable Aerosols in the Presence of an Electric Field and Chemical Reaction Using Taylor Dispersion Model

Microfluidics as a Powerful Tool to Investigate Microvascular Dysfunction in Trauma Conditions: A Review of the State‐of‐the‐Art

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