Question

what is the greatest average speed ????v of blood flow at 37∘c37∘c in an artery of radius 2.25 mm2.25 mm if the flow is to remain laminar? take the density of blood to be 1025 kg/m3,1025 kg/m3, and the viscosity to be 2.084×10−3 pa·s.

Answer 1

Average speed of blood flow is given by:

V = n*Re/(rho*d)

n = viscosity of blood = 2.084*10^-3 Pa.s

Re = max reynolds number for which flow remains laminar = 2000

rho = density of blood = 1025 kg/m^3

d = diameter of artery = 2*radius = 2*2.50 mm = 5.0*10^-3 m

So,

V = 2.084*10^-3*2000/(1025*5.0*10^-3)

V = 0.813 m/sec