The velocity field of a two-dimensional incompressible flow is given byu= kv (x? + y?)v = -kx/(x? + y?)where k is a constant.(C) Show that this flow satisfies the incompressible continuity equation(d) Is the flow rotational? [Use criterion for irrotational flow](e) Determine the equations of the streamlines; sketch the streamlines. What kind ofelementary flow is this?(f) Determine the stream function.(g) Determine the velocity potential

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Answered: The velocity field of a two-dimensional…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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for a steady incomprssible two dimensional flow, represented in cartesian coordinates (x,y), a student correctly writes the equation of pathline of any arbitrary particle as dx/dt =ax and dy/dt= by where a and b are constants having unit of second‐¹. if value of a is 5 determine the value if b.
3.11 For a 2D flow, the velocity potential function is given by =x - y, find the velocity at points (2, 2) and (2, 4). In addition, determine the flow rate between the streamlines passing through these points. [Ans: 4/2 units, 4/5 units, 8 units] 0 10
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PLS SHOW ME FULL STEPS SIR PLS ANSWER WITHIN 30 MIN SIR SUBJECT (FLUID MECH 2)
for a steady incompresible two dimensional flow, represented in cartesian coordinates (x,y), a student correctly writes the equation of pathline of any arbitrary particle as dx/dt =ax and dy/dt= by where a and b are constants having unit of second‐¹. if value of a is 5 determine the value if b.
Dentrance x=0 uentrance FIGURE P4-21 u(x) lexit x = L Dexit 4-22 For the velocity field of Prob. 4-21, calculate the fluid acceleration along the diffuser centerline as a function of x and the given parameters. For L = 1.56 m, uentrance = 22.6 m/s, and exit = 17.5 m/s, calculate the acceleration at x = 0 and x = 1.0 m. Answers: 0, -96.4 m/s²
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t = 0

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