Help with Part B and C of Assignment

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Part B and C of the assignment focus on analyzing a two-dimensional incompressible flow using the continuity equation, which states that the sum of the partial derivatives of the velocity components u and v must equal zero. The discussion highlights the importance of understanding the relevance of the first part of the assignment to the subsequent questions. Additionally, it emphasizes that the flow is rotational, indicated by the non-zero curl of the velocity potential. Participants seek guidance on how to approach these parts of the assignment effectively. Understanding these concepts is crucial for successfully completing the assignment.
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I don't have any idea on part b and c.
Anyone would show me how to do them?
 

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How was the first part answered, and does one see any relevancy to the subsequent questions?

For a two-dimensional incompressible flow in the x,y plane, the conservation of mass (continuity) equation can be written as,

\frac{\partial u}{\partial x}\,+\,\frac{\partial v}{\partial y} = 0

and since the flow is rotational,

\nabla\times\nabla\phi\,\neq\,0

where \phi = velocity potential.
 
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