Patients are sometimes administered saline mineral water that is injected into the veins. We would like to consider the transport of the saline solution in the vein. A simple model would be to...

Patients are sometimes administered saline mineral water that is injected into the veins. We would like to consider the transport of the saline solution in the vein. A simple model would be to consider the diffusion of the saline water with diffusivity D , as the entire liquid (blood+ saline water) moves with some average velocity, u. Consider a continuous supply of the saline substance of known concentration to be maintained at a location z = 0 along the length of the vein. The vein has an initial concentration of saline water of Ci . 1) Draw a schematic for this problem. 2) Set up the one-dimensional governing equation for this problem, keeping only the relevant terms. 3) Set up the boundary and initial conditions for this problem. 4) Write the governing equation to provide concentration as a function of time and position along the vein (Hint: See Section 14.2.)