The velocity v of blood that flows in a blood vessel with radius R and length L at a distance r from the central axis is -4 (R²-2) v(r) = where P is the pressure difference between the ends of the vessel and n is the viscosity of the blood (See Example.). Find the average velocity (with respect to r) over the interval 0 s r s R. (Use eta for . Use capital P for Pressure.) Vave Compare the average velocity Vave with the maximum velocity Vmax Vave= Vmax
The velocity v of blood that flows in a blood vessel with radius R and length L at a distance r from the central axis is -4 (R²-2) v(r) = where P is the pressure difference between the ends of the vessel and n is the viscosity of the blood (See Example.). Find the average velocity (with respect to r) over the interval 0 s r s R. (Use eta for . Use capital P for Pressure.) Vave Compare the average velocity Vave with the maximum velocity Vmax Vave= Vmax
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Transcribed Image Text:The velocity v of blood that flows in a blood vessel with radius R and length L at a distance r from the central axis is
-4 (R²-2)
4nl
v(r) =
where P is the pressure difference between the ends of the vessel and is the viscosity of the blood (See Example.). Find the average velocity (with respect to r) over the interval 0 srs R. (Use eta
for . Use capital P for Pressure.)
Vave
Compare the average velocity Vave with the maximum velocity Vmax"
Vave=
Vmax
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