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.
All Science Journal Classification (ASJC) codes
- Applied Mathematics