Question

Lymph is a fluid that is filtered from blood and forms an important part of the immune system. Take ρl = 1030 kg/m3 and μl = 0.0016 N⋅s/m2. Density of mercury is ρm = 13550 kg/m3.

Assuming it is a Newtonian fluid, determine its average velocity if it flows from an artery into a precapillary sphincter at a pressure of 120 mm of mercury then passes vertically upwards through the leg for a length of 1200 mm, and emerges at a pressure of 25 mm of mercury. Assume that lymph flows in a vertical circular vessel with diameter 0.8 mm.

Answer 1