TY - JOUR

T1 - Creeping flow of viscous fluid through a proximal tubule with uniform reabsorption

T2 - A mathematical study

AU - Haroon, T.

AU - Siddiqui, A. M.

AU - Shahzad, A.

PY - 2016

Y1 - 2016

N2 - Creeping flow through a proximal tubule with a uniform form of wall reabsorption is modeled as a slit flow. Equations of motion along with appropriate boundary conditions are transformed in terms of stream function. Exact solutions are obtained for components of the velocity field, axial flow rate, pressure distribution, pressure drop, wall shear stress, fractional reabsorption and leakage flux. Using physiological data of rat kidney, fractional reabsorption and pressure drop are tabulated. It is observed that 80% fractional reabsorption from a proximal tubule through a single nephron can be achieved by setting the reabsorption velocity V0 = 1.6 × 10-6 cm=sec at the pressure drop of 8.4 dyn = cm2. The hydrodynamics of flow properties are graphically discussed.

AB - Creeping flow through a proximal tubule with a uniform form of wall reabsorption is modeled as a slit flow. Equations of motion along with appropriate boundary conditions are transformed in terms of stream function. Exact solutions are obtained for components of the velocity field, axial flow rate, pressure distribution, pressure drop, wall shear stress, fractional reabsorption and leakage flux. Using physiological data of rat kidney, fractional reabsorption and pressure drop are tabulated. It is observed that 80% fractional reabsorption from a proximal tubule through a single nephron can be achieved by setting the reabsorption velocity V0 = 1.6 × 10-6 cm=sec at the pressure drop of 8.4 dyn = cm2. The hydrodynamics of flow properties are graphically discussed.

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U2 - 10.12988/ams.2016.512739

DO - 10.12988/ams.2016.512739

M3 - Article

AN - SCOPUS:84961656292

VL - 10

SP - 795

EP - 807

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

SN - 1312-885X

IS - 13-16

ER -