High blood pressure results from constriction of the arteries. To maintain a normal flow

Chapter 8, Problem 14

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High blood pressure results from constriction of the arteries. To maintain a normal flow rate (flux), the heart has to pump harder, thus increasing the blood pressure. Use Poiseuilles Law to show that if and are normal values of the radius and pressure in an artery and the constricted values are and , then for the flux to remain constant, and are related by the equation Deduce that if the radius of an artery is reduced to three-fourths of its former value, then the pressure is more than tripled.

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