Solved Example Problems for Bernoulli’s Theorem, Equation of continuity

EXAMPLE 7.14

In a normal adult, the average speed of the blood through the aorta (radius r = 0.8 cm) is 0.33 ms-1. From the aorta, the blood goes into major arteries, which are 30 in number, each of radius 0.4 cm. Calculate the speed of the blood through the arteries.

Solution:

a1v1 = 30 a2 v2 â‡’ Ï€ r12v1  = 30 Ï€ r22v2