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The velocity field in a fluid is given to be 
Which of the following statement(s) is/are correct?
  • a)
    The velocity field is one-dimensional.
  • b)
    The flow is incompressible.
  • c)
    The flow is irrotational.
  • d)
    The acceleration experienced by a fluid particle is zero at (x = 0, y = 0).
Correct answer is option 'B,C,D'. Can you explain this answer?
Most Upvoted Answer
The velocity field in a fluid is given to beWhich of the following sta...


∵ 
4y - 4y= 0
0 = 0 (Flow is incompressible)
Now,  checking irrotational,

ωz= 0 (Flow is irrotational) Now, checking the acceleration experienced by a fluid particle is zero at ( x = 0,y= 0) ,

At ( x = 0,y= 0) :
ax = 0
And



At ( x = 0,y= 0) :
ay = 0
∴ Total acceleration,


atotal = 0 (Acceleration experienced by a fluid particle is zero at x = 0,y= 0 ).
Since,  shows 4xy in direction and 2( x2 -y2 ) in direction i.e. velocity field is two dimensional.
Hence, the correct option is (B), (C) and (D).
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The velocity field in a fluid is given to beWhich of the following statement(s) is/are correct?a)The velocity field is one-dimensional.b)The flow is incompressible.c)The flow is irrotational.d)The acceleration experienced by a fluid particle is zero at (x = 0, y = 0).Correct answer is option 'B,C,D'. Can you explain this answer?
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