Question

In a two dimensional flow, the component of the velocity along the X-axis and the Y-axis are u = ax + by and v = ax – by. For what condition will the flow field be continuous?

(a) impossible

(b) possible if a = b

(c) possible if a = 2b

(d) possible for all values of a and b

I have been asked this question in an interview for internship.

My question comes from Continuity Equation topic in portion Kinematics of Flow and Ideal Flow of Fluid Mechanics

Answer 1

The correct choice is (d) possible for all values of a and b

To explain: The condition for the flow field to be continuous is:

Thus, the condition will be satisfied for any and every value of a and b.