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The Velocity vv Of Blood That Flows in a Blood Vessel with Radius

Question 37

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The velocity vv of blood that flows in a blood vessel with radius BB and length ll at a distance bb from the central axis is v(r)=P4ql(B2b2)v ( r ) = \frac { P } { 4 q l } \left( B ^ { 2 } - b ^ { 2 } \right) , where PP is the pressure difference between the ends of the vessel and qq is the viscosity of the blood. Find the average velocity (with respect to rr ) over the interval 0bB0 \leq b \leq B .

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