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Q1CQ

Expert-verifiedFound in: Page 425

Book edition
1st Edition

Author(s)
Paul Peter Urone

Pages
1272 pages

ISBN
9781938168000

**What is the difference between flow rate and fluid velocity? How are they related?**

The fluid velocity is variation in position with time while the flow rate is the quantity of water passed per second from an area and the flow rate is equal to the product of cross section area and fluid velocity.

The fluid velocity of a fluid is the variation in the position of the fluid with time and position. The volume of moving fluid that passes through a certain area of cross section in unit time is called the flow rate.

Suppose a fluid is moving with fluid velocity \({\rm{v}}\) through a cross-section of the area \({\rm{A}}\) with diameter \({\rm{d}}\).

The cross-section area for fluid flow is given as:

\({\rm{A}} = \frac{{\rm{\pi }}}{{\rm{4}}}{{\rm{d}}^{\rm{2}}}\)

The flow rate of fluid is given as:

\({\rm{Q}} = {\rm{Av}}\)

Here, \({\rm{Q}}\) is the flow rate and \({\rm{v}}\)is the fluid velocity.

Substitute all the values in the above equation.

\(\begin{array}{l}{\rm{Q}} = \left( {\frac{{\rm{\pi }}}{{\rm{4}}}{{\rm{d}}^{\rm{2}}}} \right){\rm{v}}\\{\rm{Q}} = \frac{{\rm{\pi }}}{{\rm{4}}}{{\rm{d}}^{\rm{2}}}{\rm{v}}\end{array}\)

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