The stream function for an incompressible, inviscid flow of water is given by y = - 10x+ 2y. (a) Find the velocity vector field V (x,y). (b) Find the equation for the streamline y = f(x) passing thru the point (x.y)= (2,2). (c) Find the flow speed at (2,2).

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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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3. The stream function for an incompressible, inviscid flow of water is given by y = - 10x + 2y .
(a) Find the velocity vector field V (x,y).
(b) Find the equation for the streamline y = f(x) passing thru the point (xy) = (2,2).
(c) Find the flow speed at (2,2).
(d) If the gage pressure at (2,2) is 0.3 atm, what is the y coordinate and the gage pressure when this streamline
reaches x = 4? (neglect gravity)
(e) How long does it take a fluid particle passing thru (2,2) to reach x 4 ?
(f) What is the flow rate between the streamlines which pass thru ( 2,2) and (4,1) ?
Transcribed Image Text:3. The stream function for an incompressible, inviscid flow of water is given by y = - 10x + 2y . (a) Find the velocity vector field V (x,y). (b) Find the equation for the streamline y = f(x) passing thru the point (xy) = (2,2). (c) Find the flow speed at (2,2). (d) If the gage pressure at (2,2) is 0.3 atm, what is the y coordinate and the gage pressure when this streamline reaches x = 4? (neglect gravity) (e) How long does it take a fluid particle passing thru (2,2) to reach x 4 ? (f) What is the flow rate between the streamlines which pass thru ( 2,2) and (4,1) ?
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