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Consider the approximate velocity field given for the

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

Solution for problem 109P Chapter 4

Fluid Mechanics | 2nd Edition

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

Fluid Mechanics | 2nd Edition

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Problem 109P Problem 109PConsider the approximate velocity field given for the vacuum cleaner of Prob. 11–54. Calculate the flow speed along the floor. Dust particles on the floor are most likely to be sucked up by the vacuum cleaner at the location of maximum speed. Where is that location? Do you think the vacuum cleaner will do a good job at sucking up dust directly below the inlet (at the origin)? Why or why not?

PROBLEM: We approximate the flow of air into a vacuum cleaner attachment by the following velocity components in the centerplane (the xy-plane):

and

where bis the distance of the attachment above the floor, L is the length of the attachment, and  is the volume flow rate of air being sucked up into the hose (Fig. P11–54). Determine the location of any stagnation point(s) in this flow field.

FIGURE P11-54

Step-by-Step Solution:

Solution

Step 1 of 4

The velocity components in the center field (xy plane) are given for the flow of air into a vacuum cleaner. We need to calculate the flow speed of air along the floor due to vacuum cleaner and also need we need to find the location of the maximum speed.

Given components of velocity for the xy plane are,

                                ………..1

And

                                

Where b is the distance of the attachment above the floor, L is the length of attachment and is the volume rate of air sucked into the hose.

        

The vector field will be                

Step 2 of 4

Chapter 4, Problem 109P is Solved
Step 3 of 4

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

This full solution covers the following key subjects: vacuum, cleaner, flow, floor, attachment. This expansive textbook survival guide covers 15 chapters, and 1547 solutions. The full step-by-step solution to problem: 109P from chapter: 4 was answered by , our top Engineering and Tech solution expert on 07/03/17, 04:51AM. This textbook survival guide was created for the textbook: Fluid Mechanics, edition: 2. The answer to “Consider the approximate velocity field given for the vacuum cleaner of Prob. 11–54. Calculate the flow speed along the floor. Dust particles on the floor are most likely to be sucked up by the vacuum cleaner at the location of maximum speed. Where is that location? Do you think the vacuum cleaner will do a good job at sucking up dust directly below the inlet (at the origin)? Why or why not?PROBLEM: We approximate the flow of air into a vacuum cleaner attachment by the following velocity components in the centerplane (the xy-plane): and where bis the distance of the attachment above the floor, L is the length of the attachment, and is the volume flow rate of air being sucked up into the hose (Fig. P11–54). Determine the location of any stagnation point(s) in this flow field. FIGURE P11-54” is broken down into a number of easy to follow steps, and 140 words. Since the solution to 109P from 4 chapter was answered, more than 529 students have viewed the full step-by-step answer. Fluid Mechanics was written by and is associated to the ISBN: 9780071284219.

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