please very urgent i need the right answer Consider fully developed Couette flow-flowbetween two infinite parallel plates separatedby distance h, with the top plate moving and thebottom plate stationary as illustrated. The flowis steady, incompressible, and two-dimensionalin the xy-plane. The velocity field is given by V =(vy/h)i. Generate an expression for streamfunction ч.Vhu = VhyCOOa. Vy²/2hb. Vx/hc. Vx/2hd. Vy/hX

Answered: Consider fully developed Couette…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Converging duct flow is modeled by the steady, two- dimensional velocity field V = (u, v) = (U₁ + bx) i-by. For the case in which Ug = 3.56 ft/s and b = 7.66 s¯¹, plot several streamlines from x = 0 ft to 5 ft and y=-2 ft to 2 ft. Be sure to show the direction of the streamlines. (Please upload you response/solution using the controls provided below.)
V u-v Question 4: Consider fully developed Couette flow - flow between two infinite parallel plates separated by distance h, with the top plate moving and the bottom plate stationary as illustrated. The flow is steady, incompressible, and two dimensional in the xy-plane. The velocity field is given by V = (u,v) = (V y/h)ỉ + 0ỷ, Generate an expression for stream function Yalong the vertical dashed line in the figure. For convenience, 4= 0 along the bottom wall of the channel. What is the value of Y along the top wall?
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A common flow encountered in practice is the crossflow of a fluid approaching a long cylinder of radius R at a free stream speed of U∞. For incompressible inviscid flow, the velocity field of the flow is given as in fig. Show that the velocity field satisfies the continuity equation, and determine the stream function corresponding to this velocity field.
[2] Consider the following stedy, incompressible, two-dimensional velocity field: V=(u,v)=(0.5+1.2x) 7+ (-2.0-1.2y) Generate an analytical expression for the flow streamlines and draw several streamlines in the upper-right quadrant from x=0 to 5 and y=0 to 6. (Here use the relation: dy/dx=v/u in the streamlines.)
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A incompressible, steady, velocity field is given by the following components in the x-y plane: u = 0.205 + 0.97x + 0.851y ; v = v0 + 0.5953x - 0.97y How would I calculated the acceleration field (ax and ay), and the acceleration at the point, v0= -1.050 ? Any help would be greatly appreciated :)
Please answer with detail
I am working on a practice exam and I wanted to be certain if I was going about the problem correctly.
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Find the vorticity of the fluid motion for the given velocity com- ponents. KINEMATICS OF FLUIDS (a) u A(x + y), v = - A(x + y) (b) u = 2Axz, (c) u Ay²+ By + C, v = A(c² + x² - z²) 1)=0
i didnt understand 3 fluid mechanics questions. please help me :) i will send of the three part

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