Mathematical model of solute transfer in a permeable channel with effect of variable viscosity

This paper describes a mathematical model of solute transfer in fluid flow across a permeable channel with variable viscosity, with applications to glomerular capillary blood flow. Solute transfer through the glomerular capillary wall is controlled by the difference in transcapillary hydrostatic pressure and the analogous difference in colloid osmotic pressure (Starling’s law). Using appropriate analytical and numerical approaches, the solutions of coupled equations regulating fluid flow and solute transport are found. The current study’s hydrostatic and osmotic pressure curves are qualitatively in excellent agreement with the experimental data. The effects of variable viscosity on velocity profiles, concentration profiles, and total solute clearance are seen to be substantial, and the findings are graphically depicted.

Tracer Transport in a Homogeneous Porous Medium: Experimental Study and Acquisition Data with LabVIEW

This work represent the incorporation of information procurement (DAQ) equipment and programming to acquire information (LabVIEW) as well as real-time transport to show parameter appraises with regard to subsurface stream and transport issues. The main objective is to understand the mechanism of water and solute transfer in a sandy medium and to study the effect of some parameters on the transport of an inert tracer. In order to achieve this objective, a series of experiments were carried out on a soil column equipped with a tensiometer to monitor the state of saturation of the medium and by two four-electrode probes for measuring the electrical conductivity in the porous medium.