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Question
Statement (S1): The negative derivative of velocity potential function with respect to any direction gives the fluid velocity in that direction.
Statement (S2): The partial derivative of stream function in any direction gives the velocity component in that direction.
A.
Both statements S1 and S2 are true
B.
Statement S1 is false and statement S2 is true
C.
Statement S1 is true and statement S2 is false
D.
Both statements S1 and S2 are false.
Answer ( Option C)

Statement S1 is true and statement S2 is false

Solution

Velocity potential (Φ): It is defined as a scalar function of space and time such that its negative derivative w.r.t. any direction gives velocity of flow in that direction.
Stream function (Ψ): It is scalar function of space and time such that its partial derivative w.r.t. any direction gives the velocity component at right angles (in-anticlockwise direction) to its direction.
 

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