In a two dimensional flow, the component of the velocity along the X-axis and the Y-axis are u = ax2 + bxy and v = cxy +dy2. What should be the condition for the flow field to be continuous?

In a two dimensional flow, the component of the velocity along the X-axis and the Y-axis are u = ax2 + bxy and v = cxy +dy2. What should be the condition for the flow field to be continuous? Correct Answer

The condition for the flow field to be continuous is: 2ax + cx + by + 2dy = 0 (2a + c)x + (b + 2d)y = 0.
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