Part 1 Of 2 The Reynolds Number Tells Us If We Can Ex Pect Fluid Flow To Be Laminar Or Turbulent The Transition Reynol 1 (114.63 KiB) Viewed 38 times
part 1 of 2 The Reynolds number tells us if we can ex- pect fluid flow to be laminar or turbulent. The transition Reynolds number for cylindri- cal tubes is about 2300, where below that the flow will be laminar, but above 2300 the flow will be turbulent. Let's apply this to blood flow through the aorta. At what blood ve- locity (and higher) will blood be flowing in a turbulent manner? Take the density of blood to be approximately that of water. Use a di- ameter for the aorta of 2 cm and the riscosity of blood to be 3.5 cP (centipoise).
part 2 of 2 The volume flow rate (Q) for a viscous fluid through a cylindrical tube is given by: Q (P₁-P₂) where R is the radius of the tube, P₁ and P₂ are the pressures at the two ends of the tube, n is the fluid viscosity, and L is the length of the tube. Let's estimate that the length of the aorta is 40 cm. What is the pressure difference between the two ends of the aorta that causes the blood flow at the rate that you found in the previous part? TRA 8nL =
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