Blue and yellow streams of paint (each with a density of 1.6 slugs/ft3 and a viscosity 1500 times greater than water) enter a pipe with an average velocity of 9 ft/s as shown in the figure below. Would you expect the paint to exit the pipe as green paint or separate streams of blue and yellow paint? Explain. Repeat the problem if the paint were "thinned" so that it is only 10 times more viscous than water. Assume the density remains the same, and the temperature is 60°F.

You have a container like the one shown in figure 1 from which you want to extract liquid with the help of asiphon (inverted U-shaped tube). The siphon should be filled initially, but once this is done theliquid will flow until its level drops below opening A. The liquid has a density ?, and anegligible viscosity. Assume that the area of ​​the container is very large compared to the area of ​​thetube and that both the tube at C and the container itself at D are open to the atmosphere. a) Using Bernoulli's equation and comparing points "D" and "C", determine the speed with which the liquid flows in C. b) What is the gauge pressure of the liquid at the highest point (B)? c) What maximum height H can the highest point (B) of the tube have without ceasing to have flow? d) If the liquid of density ? is changed, for one with density ?2 where ? < ?2, will there be any change in velocity at C? If there is any change, write down with which liquid the highest speed is obtained in C, otherwise…

Consider flow of blood in the microvessels of the body, assuming Poiseuille’s law holds and that the viscosity of the blood is constant. Consider a parent vessel that bifurcates into two daughter segments, all within the microcirculation and with blood flow described using Poiseuille’s law (assume that each segment has a different diameter and length).Denoting the pressure at node i by pi (i=1,2,3,4), and the flux in segment j by Qj (j=1,2,3), write down expressions for the segment fluxes in the network, in terms of the nodal pressures. How are the three volume fluxes related, and why? Assuming that the pressures at nodes 1, 3, 4 (the boundary nodes) are known, write down an expression for the pressure at the interior node, p2.