(1) The velocity potential of a fluid flow given by: p = 3x²y – ay³ (1 a) Find the value of the constant a (no units required) that will make the flow irrotational and incompressible

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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Do all three parts of problem

(1) The velocity potential of a fluid flow given by:
p = 3x²y – ay³
(1 a) Find the value of the constant a (no units required)
that will make the flow irrotational and incompressible
Answer:
(1 b) If the units of x and y is meter and u and v is meter per second
find the corresponding stream function in m² /s
at the point x = 1.2 and y = 1.3 Tolerance is 0.001
Answer:
(1 c) If the density is 1000 kg/m³
and the pressure at zero total velocity is 101.3 kPa
find the pressure in kPa at the point at the point x = 1.2 and y = 1.3
Tolerance is 0.001
Answer:
Transcribed Image Text:(1) The velocity potential of a fluid flow given by: p = 3x²y – ay³ (1 a) Find the value of the constant a (no units required) that will make the flow irrotational and incompressible Answer: (1 b) If the units of x and y is meter and u and v is meter per second find the corresponding stream function in m² /s at the point x = 1.2 and y = 1.3 Tolerance is 0.001 Answer: (1 c) If the density is 1000 kg/m³ and the pressure at zero total velocity is 101.3 kPa find the pressure in kPa at the point at the point x = 1.2 and y = 1.3 Tolerance is 0.001 Answer:
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