Physicians often use IV lines to administer fluids and drugs rapidly. The rate of application of the IV fluid is determined to some extent by the height of the IV bag above the patient. Assume that the IV line enters the patient through her venous system. The gauge pressure in that vein is 80 mmHg, which is equivalent to an absolute pressure of 112 kPa. Assume that the flow in the line has a uniform velocity profile.
a) If an IV bag contains 0.5 L and draiins through a 0.2 cm diameter line, what is the correct positioning of the bag such that the entire bag is emptied in 10 minutes?
b) Design an IV system with a rack to hold an IV bag, a line connecting the IV bag ti the patient, and a patient. The system must be able to deliver a 0.5 L IV bag over a time range of 10 minutes to 8 hours. It is practical to have tubing with two or three different diameters at your deposal (but no more).
(Hint: Make sure that you understand the impact of the kinetic energy term in the Bernoulli equation.) Your solution must be realistic and able to be implemented.