Creeping flow of viscous fluid through a proximal tubule with uniform reabsorption: A mathematical study

T. Haroon, A. M. Siddiqui, A. Shahzad

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)795-807
Number of pages13
JournalApplied Mathematical Sciences
Volume10
Issue number13-16
DOIs
StatePublished - 2016

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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