Vascular Branching. A small blood vessel of radius r branches off at an angle 8 from a larger vessel of radius R to supply blood along a path from A to B. According to Poiseuille's Law, the total resistance to blood flow is proportional to a sin 0-b cos 0 T = sin OR4 sin Or4 Where a and b are as in figure below. Show that the total resistance is minimized when cos 0 = (r/R)“ COS
Vascular Branching. A small blood vessel of radius r branches off at an angle 8 from a larger vessel of radius R to supply blood along a path from A to B. According to Poiseuille's Law, the total resistance to blood flow is proportional to a sin 0-b cos 0 T = sin OR4 sin Or4 Where a and b are as in figure below. Show that the total resistance is minimized when cos 0 = (r/R)“ COS
Related questions
Question
Show your complete solution and box the final answer. Please write your solution clearly and readable. Thank you.
Transcribed Image Text:Vascular Branching. A small blood vessel of radius r
branches off at an angle 8 from a larger vessel of
radius R to supply blood along a path from A to B.
According to Poiseuille's Law, the total resistance to
blood flow is proportional to
a sin 0–b cos 0
T
sin OR4
sin Or4
Where a and b are as in figure below. Show that the
total resistance is minimized when
cos 0 = (r/R)*
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
