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

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+1 vote
in Fluid Mechanics by (118k points)
In a two dimensional flow, the component of the velocity along the X-axis and the Y-axis are u = axy and v = bx^2 + cy^2. What should be the condition for the flow field to be continuous?

(a) a + b = 0

(b) a + c = 0

(c) a + 2b = 0

(d) a + 2c = 0

This question was posed to me during an online exam.

The doubt is from Continuity Equation in division Kinematics of Flow and Ideal Flow of Fluid Mechanics

1 Answer

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Best answer
Correct choice is (d) a + 2c = 0

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

ay + 2cy = 0

a + 2c = 0.

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