Show that the two-dimensional flow described (in meter-second units) by the equation y =x + 2x2 – 2y is irrotational. What is the velocity potential of the flow? If the density of the fluid is 1.12 kg m and the piezometric pressure at the point (1, -2) is 4.8 kPa, what is the piezometric pressure at the point (9, 6)?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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2.
Show that the two-dimensional flow described (in meter-second units) by the
equation y = x + 2x² – 2y² is irrotational. What is the velocity potential of the flow? If the density
of the fluid is 1.12 kg m and the piezometric pressure at the point (1, -2) is 4.8 kPa, what is the
piezometric pressure at the point (9, 6)?
-3
Transcribed Image Text:2. Show that the two-dimensional flow described (in meter-second units) by the equation y = x + 2x² – 2y² is irrotational. What is the velocity potential of the flow? If the density of the fluid is 1.12 kg m and the piezometric pressure at the point (1, -2) is 4.8 kPa, what is the piezometric pressure at the point (9, 6)? -3
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