Question

In an unsteady flow, the equation of streamline is given by __________

(a) x=y

(b) y=0

(c) y=0

(d) y=x^t

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Question is from Pathlines, Streamlines, Streaklines topic in portion Aerodynamics – Fundamental Principles and Equations of Aerodynamics

Answer 1

Right choice is (d) y=x^t

Explanation: Consider the velocity vector, V= xi +y*tj

     Here u=x and v=y*t

We know that dx/u=dy/v=dz/w

On substituting the vales and integrating, we get, y=x^t.