Question

In a two dimensional flow, the component of the velocity along the X-axis and the Y-axis are u = ax^2 + bxy and v = cxy +dy^2. What should be the condition for the flow field to be continuous?

(a) (a + b)x + (c + d)y = 0

(b) (a + c)x + (b + d)y = 0

(c) (2a + b)x + (c + 2d)y = 0

(d) (2a + c)x + (b + 2d)y = 0

The question was asked by my school principal while I was bunking the class.

Asked question is from Continuity Equation in chapter Kinematics of Flow and Ideal Flow of Fluid Mechanics

Answer 1

Correct choice is (d) (2a + c)x + (b + 2d)y = 0

The best explanation: The condition for the flow field to be continuous is:

2ax + cx + by + 2dy = 0

(2a + c)x + (b + 2d)y = 0.