Applied Fluid Mechanics (7th Edition)
Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON
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Chapter 19, Problem 19.1PP

Determine the velocity of flow and the friction loss as 1000 cfm of air flows through 75 ft of an 18 -in-diameter round duct.

Expert Solution & Answer
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To determine

The velocity of flow

The value of friction loss

Answer to Problem 19.1PP

The velocity of flow, V=570ft/min

The value of friction loss, HL=0.021 in H2O

Explanation of Solution

Given information:

Diameter of the duct, D=18in

Rate of flow, Q=1000 cfm

Length of the duct, L=75 ft

To find out the friction loss, we use the formula

   HL=hL.(L100)............................................(1)

Where,

L= Length of the duct

HL=Friction loss

hL=friction loss of water per 100 ft

friction loss of water per 100 ft is calculated by the chart of friction loss in a duct and it is equal to hL=0.028 in H2O

We compare between any two given values and their intersecting point give the third required value

The velocity of flow is also calculated by the chart of friction loss in a duct and it is equal to

The V=570ft/min

Calculation:

Now we put the known values in equation

   HL=hL.(L100)HL=(0.028)X75100

HL= 0.021 in H2O

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