Question

The velocity of a liquid flowing in a circular pipe of radius $R$ varies from zero at the wall to a maximum at the pipe center. The velocity distribution in the pipe can be represented as $V(r),$ where $r$ is the radial distance from the pipe center. Based on the definition of mass flow rate $\dot{m}$ obtain a relation for the average velocity in terms of $V(r)$ $R,$ and $r$.

Name: The velocity of a liquid flowing in a circular pipe of radius R varies from zero at the wall to a maximum at the pipe center. The velocity distribution in the pipe can be represented as V(r), where r is the radial distance from the pipe center. Based on the definition of mass flow rate ṁ obtain a relation for the average velocity in terms of V(r) R, and r.
Uploaded: 2022-03-20T12:58:01-08:00
Duration: 4 min 34 s
Channel: Aniket Bajaj
Description: The velocity of a liquid flowing in a circular pipe of radius R varies from zero at the wall to a maximum at the pipe center. The velocity distribution in the pipe can be represented as V(r), where r is the radial distance from the pipe center. Based on the definition of mass flow rate ṁ obtain a relation for the average velocity in terms of V(r) R, and r.

          The velocity of a liquid flowing in a circular pipe of radius $R$ varies from zero at the wall to a maximum at the pipe center. The velocity distribution in the pipe can be represented as $V(r),$ where $r$ is the radial distance from the pipe center. Based on the definition of mass flow rate $\dot{m}$ obtain a relation for the average velocity in terms of $V(r)$ $R,$ and $r$.

Added by Pedro W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Aniket Bajaj

03/20/2022

Step 1

Therefore, we have $\dot{m} = \rho \cdot V(r) \cdot \pi R^2$. Show more…

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The velocity of a liquid flowing in a circular pipe of radius $R$ varies from zero at the wall to a maximum at the pipe center. The velocity distribution in the pipe can be represented as $V(r),$ where $r$ is the radial distance from the pipe center. Based on the definition of mass flow rate $\dot{m}$ obtain a relation for the average velocity in terms of $V(r)$ $R,$ and $r$.