Question

In a catheter I know the values of diameter of the tube, length of the tube, dynamic viscosity and head loss as well. Also given the density of the drug to be inserted and volume as well.
Further I know the distance between the catheter and the vein. Finally catheter is in atmostpheric pressure and veins pressure is given so how to calulate time it takes for the drug to travel from the bag to vein and what is the main assumption to be made