question_answer 26)

(a) What is the largest average velocity of blood flow in an artery of radius \[2\times {{10}^{-3}}\,m\] if the flow must remain laminar?

Answer:

Here, \[\therefore \]\[\vartriangle V=V-V'=M\left( \frac{1}{P}-\frac{1}{P'} \right)\] \[\therefore \] \[\frac{\vartriangle V}{V}=M\left( \frac{1}{P}-\frac{1}{P'} \right)\] \[\times \frac{P}{M}=1-\frac{P}{P'}\] For flow to be laminar, \[\frac{\vartriangle V}{V}=1-\frac{1\cdot 03\times {{10}^{3}}}{P'}\] (a) Now, \[B=\frac{pV}{\vartriangle V}\] (b) Volume flowing per second= \[\frac{\vartriangle V}{V}=\frac{P}{B}\]