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.
N1 - Publisher Copyright:
© 2016 T. Haroon, A. M. Siddiqui and A. Shahzad.
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
SN - 1312-885X
VL - 10
SP - 795
EP - 807
JO - Applied Mathematical Sciences
JF - Applied Mathematical Sciences
IS - 13-16
ER -