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Chapter 15: Problem 80

How does the volume flow rate of blood at a stenosis compare with the rate in the surrounding artery? a. lower b. the same c. higher

Short Answer

Expert verified
The correct answer is (b) the same. The volume flow rate remains constant in both stenosis and the surrounding artery due to the conservation of mass flow rate in fluid dynamics.

Step by step solution

01

Defining Concept

Let us familiarize with the concept of Flow rate. Flow rate is the volume of fluid passing per unit of time.
02

Importance of Stenosis in changing Flow rate

Stenosis is a narrowing of the blood vessel. In this case, the cross-sectional area of the blood vessel decreases.
03

Applying the continuity equation

According to the continuity equation, \(A_1V_1 = A_2V_2\). When the cross-sectional area of the blood vessel decreases, the speed or velocity of the fluid must increase so that the two sides of the equation remain equal.
04

Concluding Flow rate

Given that volume flow rate is equivalent to the speed of flow in reality, the volume flow rate of blood at a stenosis, where the area is smaller and thus speed is greater, will be the same as the rate in the surrounding artery. The flow must speed up to make sure the same amount of blood passes per unit time at all points along the blood vessel.

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