Question
Download Solution PDFWhich one of the following statements is correct for the velocity potential?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Velocity Potential function: This function is defined as a function of space (3-Dimensional) and time in a flow such that the negative derivation of this function with respect to any direction gives the velocity of fluid in that direction.
If velocity potential (ϕ) exist, there will be a flow.
From continuity equation
⇒
If velocity potential (ϕ) satisfies the Laplace equation, it represents the possible steady incompressible irrotational flow
Now, Angular velocity is given by:
Since ϕ is a continuous function
Therefore, ωz = 0
It implies that if velocity potential function exists for flow then the flow must be irrotational.
Last updated on Jul 2, 2025
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