Problem 108P

Consider the vacuum cleaner of Prob. 11–54. For the case where b = 2.0 cm, L = 35 cm, and = 0.1098 m3/s, create a velocity vector plot in the upper half of the xy-plane from x = − 3 cm to 3 cm and from y = 0 cm to 2.5 cm. Draw as many vectors as you need to get a good feel of the flow field.

Note:The velocity is infinite at the point (x, y) =(0,2.0 cm), so do not attempt to draw a velocity vector at that point.

Solution 108P

Step 1 of 3:

In this question we need to draw velocity vector plot for a given velocity field

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

-----------(1)

Final position

-------------(2)