Question

In steady state flow, the equation for streamline can be given by ________

(a) x=0

(b) y=0

(c) x=y

(d) x=-1

I had been asked this question by my college director while I was bunking the class.

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

Answer 1

Correct choice is (c) x=y

For explanation: In steady flow, the velocity does not change with respect to time. Hence, the velocity remains constant that is dy/dx=y/x. On integrating the above equation we get, x=y, which proves that pathline and streamline are same for steady flow with same velocity field.