Solution Found!
We approximate the flow of air into a vacuum cleaner
Chapter 4, Problem 107P(choose chapter or problem)
Problem 107P
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
Questions & Answers
QUESTION:
Problem 107P
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
ANSWER:
Solution 107P
Step 1 of 4:
In this question, we need to determine stagnation point on the
It is given
of the attachment above the floor
is the length of the attachment
is the volume flow rate of air
The velocity components given are
Initial position
Final position