Question

Suppose a blood vessel's radius is decreased to 87% of its original value by plaque deposits and the body compensates by increasing the pressure difference along the vessel to keep the flow rate constant.
By what factor must the pressure difference increase?

Answer 1

Answer:

The pressure difference will increase by the factor of 1.75

Explanation:

For constant flow rate, coefficient of viscosity, length of the vessel and the pressure difference is inversely proportional to the fourth power of the radius of the blood vessel

Apply the principle of Poiseuille’s law.

Q = (P2 - P1)/R

Pls check the attached file for step by step solution of the question. It is submitted in this way as typing the equation may not be explanatory.