The flow of blood in a large artery of an anesthetised dog is diverted through a venturimeter. The wider part of the meter has a cross-sectional area equal to that of the artery, `A=16 mm^(2)`. The narrower part has an area `a=9mm^(2)`. The pressure drop in the artery is 24 Pa. What is the speed of the blood in the artery ?

Explanation

We take the density of blood from table 10.1 to be `1.06 times 10^3 kg m^-3`. The ratio of the areas is `(A/a)=2` Using Eq.(10.17) we obtain
`v_1=sqrt((2 times 24 Pa)/(1060 kg m^-3 times (2^2 -1)))=0.123 ms^-1`