The effects of hydrostatic pressure and wall elasticity on standing-gradient (osmotically driven) flow in physiological tubules
Abstract
A hydrodynamic model is developed to describe the coupled water and solute flow in a long channel with elastic walls which is closed at one end and open at the other. The governing equations take into account the elasticity of the channel wall which is stretched by hydrostatic pressure and water leakage due to hydrostatic pressure difference between the interior and exterior of the channel, at the same time retaining the one-dimensional properties used in the kinematic model of Diamond and Bossert (1967) and Segel (1970). Both numerical and analytical asymptotic solutions are presented, using ranges of parameter values which are typical in epithelia.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- July 1976
- Bibcode:
- 1976PhDT.......104M
- Keywords:
-
- Hydrostatic Pressure;
- Osmosis;
- Pressure Effects;
- Wall Flow;
- Elastic Properties;
- Epithelium;
- Mathematical Models;
- Membranes;
- Pressure Gradients;
- Fluid Mechanics and Heat Transfer