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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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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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