×
Log in to StudySoup
Get Full Access to Engineering and Tech - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Engineering and Tech - Textbook Survival Guide

A fan is to be selected to ventilate a bathroom whose

Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala ISBN: 9780071284219 39

Solution for problem 72P Chapter 5

Fluid Mechanics | 2nd Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala

Fluid Mechanics | 2nd Edition

4 5 0 237 Reviews
16
3
Problem 72P

A fan is to be selected to ventilate a bathroom whose dimensions are 2 m × 3 m × 3 m. The air velocity is not to exceed 8 m/s to minimize vibration noise. The combined efficiency of the fan-motor unit to be used can be taken to be 50 percent. If the fan is to replace the entire volume of air in 10 min, determine (a) the wattage the fan-motor unit to be purchased, (b) the diameter of the

FIGURE P12-56

fan casing, and (c) the pressure difference across the fan. Take the air density to be 1.25 kg/m3 and disregard the effect of the kinetic energy correction factors.

Step-by-Step Solution:

Step 1 of 6</p>

In bathroom, a fan is replacing the entire volume of air for every 10 minutes where air speed remains below  as shown in figure below. Here we need to calculate the fan motor wattage , the fan casing diameter and the pressure difference across the fan.

The effect of kinetic energy correction factors is negligible (), the density of air is given as . Also we are assuming that the flow is steady and incompressible.

Step 2 of 6</p>To determine the wattage of the fan motor,

Given data,

Density of air, Volume of air ,

                                        

Time interval ,

Using 1 min = 60 sec

        

Speed of air, The volume flow rate through the casing is given by,

                                                

Substituting  and

                                        

Similarly the mass flow rate through the casing is,

                                                

Substituting ,

                                        

Step 3 of 6</p>

Let us consider the points 1 and 2 at the inlet and outlets of the fan as shown in the figure above. This two points are far from the fan so that and the flow velocity is negligible .

The energy equation for this control volume between points 1 and 2 is given by,

                

        

Using  ,   , , and

We get,                                         

Substituting , and  

                                        

                                                

Using  

                                        

Therefore, the wattage of the fan motor should be 1.2 W.                

Step 4 of 5

Chapter 5, Problem 72P is Solved
Step 5 of 5

Textbook: Fluid Mechanics
Edition: 2
Author: Yunus A. Cengel, John M. Cimbala
ISBN: 9780071284219

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

A fan is to be selected to ventilate a bathroom whose

×
Log in to StudySoup
Get Full Access to Engineering and Tech - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Engineering and Tech - Textbook Survival Guide
×
Reset your password