(II) Calculate the pressure drop per cm along the aorta using the data of Example 10-12 and Table 10-3.

Solution 55P:

We have to determine at what rate do the pressure drop per unit length along the aorta as the blood flow.

Step 1 of 3</p>

Concept:

Continuity principle: For the streamline flow of fluid, the quantity of liquid flowing per unit time or the rate of flow through the cross sectional areafor the fluid moving with velocity is given as,

…(1)

Poiseuille’s Equation: The rate of flow of fluid having viscosity across a pipe of length, radius with the pressure difference at both the end is given as,

…(2)

Step 2 of 3</p>

From the table and example, we get the following data,

Radius of aorta

Viscosity of blood

Velocity of blood

Applying the principle of continuity, to the streamlined flow of blood through aorta, we get rate of flow,

…(3)