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Doctors Medicines MCQs Q&A

  1. 1, 2
  2. 2, 3
  3. 1, 3
  4. 1, 2, 3
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1 Answers

Option 3 : 1, 3

Explanation:

  • Velocity potential exists for irrotational flows only.
  • Velocity and stream function can exist in both rotational and irrotational flows.

Stream Function:

  • It is the scalar function of space and time.
  • The partial derivative of stream function with respect to any direction gives the velocity component perpendicular to that direction. Hence it remains constant for a streamline
  • Stream function defines only for the two-dimensional flow which is steady and incompressible..

Properties of stream function:

  1. If ψ exists, it follows continuity equation and the flow may be rotational or irrotational.
  2. If ψ satisfies the Laplace equation, then the flow is irrotational.

Velocity Potential function:

  • This function is defined as a function of space 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.

Properties of Velocity Potential function:

  • If velocity potential (ϕ) exist, there will be a flow.
  • Velocity potential function exists for flow then the flow must be irrotational.
  • If velocity potential (ϕ) satisfies the Laplace equation, it represents the possible steady incompressible irrotational flow.
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