According to the potential equation of a two-dimensional flow in the horizontal plane defined as; i-) Is this current physically possible? Prove ii-) Determine the current function ψ (x, y) of this current. [ψ (0,0) = 0] iii-) Calculate the resultant velocity and resultant acceleration at point A (e, f) in this flow field. iv-) Calculate the flow rate passing between the streamlines ψ (a, a) and ψ (c, c).

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.46P
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According to the potential equation of a two-dimensional flow in the horizontal plane defined as; i-) Is this current physically possible? Prove ii-) Determine the current function ψ (x, y) of this current. [ψ (0,0) = 0] iii-) Calculate the resultant velocity and resultant acceleration at point A (e, f) in this flow field. iv-) Calculate the flow rate passing between the streamlines ψ (a, a) and ψ (c, c).

$(x, y)
= x- - y +2xy
Transcribed Image Text:$(x, y) = x- - y +2xy
Ale, f) = A(6,9)
to
%1
4 (a, a) = 4(1,1)
Y(G,c)= 4(3,3)
11
Transcribed Image Text:Ale, f) = A(6,9) to %1 4 (a, a) = 4(1,1) Y(G,c)= 4(3,3) 11
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