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The velocity components in a two-dimensional flow is given as
V = 4x4 – y2
Identify the correct statement:
  • a)
    Flow is possible, irrotational and stream function does not exist
  • b)
    Flow is possible, irrotational and both stream function and potential function does not exist
  • c)
    Flow is possible, irrotational, stream function exist which is given by potential function exist
  • d)
    Flow is possible, irrotational, potential function exist which is given by
     stream function also exist.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The velocity components in a two-dimensional flow is given asV = 4x4&n...
Concept:
To check the possibility of flow:
Stream function (Ψ)
Velocity potential function (ϕ):
Calculation:
Hence flow is possible
Angular velocity (WZ)
WZ ≠ 0
Flow is rotational
Also, For rotational floes velocity potential (ϕ) function does not exist.
Proof:
But WZ ≠ 0
So, ∇ 2 ϕ ≠ 0
ϕ not exist
check for stream function (Ψ)
For stream function, if there is a flow, stream function (Ψ) always exist.
Integrating
From equation (i) and (ii)
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The velocity components in a two-dimensional flow is given asV = 4x4– y2Identify the correct statement:a)Flow is possible, irrotational and stream function does not existb)Flow is possible, irrotational and both stream function and potential function does not existc)Flow is possible, irrotational, stream function exist which is given bypotential function existd)Flow is possible, irrotational, potential function exist which is given bystream function also exist.Correct answer is option 'C'. Can you explain this answer?
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The velocity components in a two-dimensional flow is given asV = 4x4– y2Identify the correct statement:a)Flow is possible, irrotational and stream function does not existb)Flow is possible, irrotational and both stream function and potential function does not existc)Flow is possible, irrotational, stream function exist which is given bypotential function existd)Flow is possible, irrotational, potential function exist which is given bystream function also exist.Correct answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The velocity components in a two-dimensional flow is given asV = 4x4– y2Identify the correct statement:a)Flow is possible, irrotational and stream function does not existb)Flow is possible, irrotational and both stream function and potential function does not existc)Flow is possible, irrotational, stream function exist which is given bypotential function existd)Flow is possible, irrotational, potential function exist which is given bystream function also exist.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The velocity components in a two-dimensional flow is given asV = 4x4– y2Identify the correct statement:a)Flow is possible, irrotational and stream function does not existb)Flow is possible, irrotational and both stream function and potential function does not existc)Flow is possible, irrotational, stream function exist which is given bypotential function existd)Flow is possible, irrotational, potential function exist which is given bystream function also exist.Correct answer is option 'C'. Can you explain this answer?.
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