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

where b is the distance of the attachment above the floor, L is the length of the attachment, and V̇ is the volume flow rate of air being sucked up into the hose (Fig. P4–112). Determine the location of any stagnation point(s) in this flow field.

FIGURE P4–112

Transcribed Image Text:

and U = V - Úx x² + y² + b² TL x + 2x²y² + 2x²b²+ y4 - 2y²b² + b² - Vy TL x² + 2x²y² + 2x²b² + y² = 2y²b² + b² x² + y² = 6² -