4. Poiscuille\'s Law tells us that the overall flow rate q through a blood vesse

Question

4. Poiscuille's Law tells us that the overall flow rate q through a blood vessel is proportional to the pressure drop AP and the fourth power of the vessel's radius R: where the constant is related to the properties of blood and the vessel's length. than capillaries.) If both vessels have the same flow rate, which one will generate heat faster? faster? q=const AP.R" A) Consider an arteriole and a capillary of the same length. (Remember that arterioles are wider B) If instead both vessels are subjected to the same pressure drop, which vessel will generate heat

Explanation / Answer

a) if the discharge is same and if radius of arterioles is more than that of cappilaries, then it imples that pressure drop per unit length of cappilaries will be greater than that of arterioles. the pressure drop signifies the friction in the passage of blood, which means more the friction, more the pressure drop. all the energy that gets wasted into overcoming friction is lost as heat. therefore, cappilaries will generate more heat than arterioles because there is more pressure drop.

b) when the pressure drop is kept same for both arterioles and cappilaries, the frictional energy is also same for both which means that heat generation for both of them is also same.

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