Question

The coefficient of viscosity of blood is directly proportional to the frequency of interactions of erythrocytes with the vessel walls. As blood enters small vessels, many erythrocytes tend to flow in the center of the vessel. Given this information, which graphic best describes the effect of vessel diameter on the coefficient of viscosity?.

Answer 1

The coefficient viscosity is the resistance for blood to flow. There is a direct relationship between vessels diametre and viscosity. In the attached files it is the graph that best describes this relationship.

What is blood viscosity?

Viscosity is the property of fluids to resist the tangential displacement of molecule layers.

Blood viscosity refers to the resistance for blood to flow. Blood viscosity depends on the blood density and the vessel diameter.

• Viscosity increases when the number of blood cells increases and when more cells get in contact with vessels walls.

The more viscose is in the blood, the greater resistance there is to move it, and the more blood pressure it requires to flow through vessels.

• Viscosity decreases when blood velocity increases.

According to this framework and to the problem statement, we could assume that

• smaller vessels ⇒ faster flow ⇒ less wall resistance → less vistosity

• bigger vessels ⇒ slower flow ⇒ more wall resistance → more viscosity

In smaller vessels, blood flow is greater and more cells move in the center, leading to fewer cells interacting with walls. There is higher pressure and less resistance for blood to flow.  

In bigger vessels, blood flow is slower, and more cells are interacting with each other and with the vessel walls. There is lower pressure and more resistance for blood to flow.  

Since the coefficient of viscosity is directly proportional to the frequency of interactions of erythrocytes with the vessel walls, we can assume that blood flowing through bigger vessels express a higher coefficient of viscosity than blood flowing through smaller vessels.

In the attached files you will find an image representing the relationship between the coefficient of viscosity and vessel diameter.

You should compare this image with your images and choose the correct one.

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