Pressure flow patterns in a cylinder with reabsorbing walls

Macey, Robert I.

doi:10.1007/bf02477766

Cited by 68 publications

(53 citation statements)

References 5 publications

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“…Chaturani and Ranganatha (1990) developed numerical solutions for Newtonian fluids in renal tubules by solving a second order differential equation using the fourth-order Runge-Kutta method. Macey (1963) concluded flow in renal tubules is comparable to Poiseuille flow under many circumstances. Radhakrishnamacharya et al (1981) examined renal tubules assuming converging and diverging ducts with exponential axial flux reduction.…”

Section: Other Scientific Applications With Permeable Wallsmentioning

confidence: 81%

CFD-based representation of non-Newtonian polymer injectivity for a horizontal well with coupled formation-wellbore hydraulics

Jackson¹,

Balhoff

Huh

et al. 2011

Journal of Petroleum Science and Engineering

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Section: Other Scientific Applications With Permeable Wallsmentioning

confidence: 81%

CFD-based representation of non-Newtonian polymer injectivity for a horizontal well with coupled formation-wellbore hydraulics

Jackson¹,

Balhoff

Huh

et al. 2011

Journal of Petroleum Science and Engineering

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“…Consider an incompressible fluid flow through asymmetric channel with slowly varying cross-section as given by equation (1). The motion of the fluid is assumed to be laminar and steady.…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Macey [1] was the first to study the mathematical modeling of the flow in proximal renal tubule. He formulated the problem as the flow of an incompressible viscous fluid through a circular tube with linear rate of reabsorption at the wall.…”

Section: Introductionmentioning

confidence: 99%

Fluid flow in asymmetric channel

Muthu

Berhane

2011

Tamkang J. Math.

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Abstract. In this paper, we investigate steady, viscous, incompressible fluid flow in an asymmetric channel with absorbing walls which may have possible applications in flows in renal tubules. The effect of fluid absorption through permeable wall is accounted for by prescribing flux as a function of axial distance. The nonlinear governing equations of motion are linearized by perturbation method by assuming δ (ratio of inlet width to wavelength) as a small parameter and the resulting equations are solved by numerical methods. The effects of reabsorption coefficient (α) and phase difference (φ) on the velocity profiles, mean pressure drop and wall shear stress are studied and explained graphically.

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“…Macey 9 determined the solution of a flow problem of viscous fluid through a circular tube by considering linear reabsorption rate at the wall. Kelman 10 pointed out that the bulk flow rate decays exponentially with the axial distance in renal tubule.…”

Section: Introductionmentioning

confidence: 99%

Slip flow through a non-uniform channel under the influence of transverse magnetic field

Farooq

Mushtaq

Munir

et al. 2018

Sci Rep

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This study deals with the steady laminar slip flow of an incompressible Newtonian fluid in a non-uniform permeable channel under the influence of transverse magnetic field. The reabsorption through the wall is accounted for by considering flux as a function of downstream distance. The non-linear coupled partial differential equations of motion are first transformed into a single fourth order partial differential equation and then solved analytically using Adomain decomposition method. Effects of pertinent parameters on different flow properties are discussed by plotting graphs. Results reveal that magnetic field considerably influences the behavior of flow.

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Pressure flow patterns in a cylinder with reabsorbing walls

Cited by 68 publications

References 5 publications

CFD-based representation of non-Newtonian polymer injectivity for a horizontal well with coupled formation-wellbore hydraulics

CFD-based representation of non-Newtonian polymer injectivity for a horizontal well with coupled formation-wellbore hydraulics

Fluid flow in asymmetric channel

Slip flow through a non-uniform channel under the influence of transverse magnetic field

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