the-velocity-v-of-blood-that-flows-in-a-blood-vessel-with-radius-r-and-length-l-at-a-distance-r-from

Question

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
$$ v(r) = \frac{P}{4\eta l} (R^2 - r^2) $$
where $ P $ is the pressure difference between the ends of the vessel and $ \eta $ is the viscosity of the blood (see Example 3.7.7). Find the average velocity (with respect to $ r $) over the interval $ 0 \le r \le R $. Compare the average velocity with the maximum velocity.

Amrita Bhasin · Accepted Answer

we know that we can use the average value formula and plug in one over R minus zero from zero to our give our d r, which is one over r from zero r. We know now that we end up with p r squared and then we know that we have the degree to therefore the derivative ve promised tea, which is acceleration equals zero indicates when the maximum velocity is reached. They&#x27;re Farina. The maximum velocity is reached at p r squared for, you know. Therefore, we know the average velocity is this which is 2/3 of the maximum velocity.

Problem

The linear density in a rod 8 m long is $ \frac{1…

Problem 18 Medium Difficulty

Answer

The average velocity is $\frac{P R^{2}}{6 \eta l}$ which is $\frac{2}{3}$ of the maximum velocity

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