Question 4. Answer the two separate questions given with options a and b below. a) A two-dimensional flow is defined as: \( u=-y / b^{2} v=x / a^{2} \) Determine if the stream is Reciprocating. Determine if the stream is Circulating or not. b) An incompressible velocity field, where \( \mathrm{a} \) and \( \mathrm{b} \) are constant \( u=a\left(\mathrm{x}^{2}-\mathrm{y}^{2}\right) \) , It is denoted by \( v=u n k n o w n \) and \( w=b \). What should be the expression for the unknown velocity component \( \underline{\underline{v}} \)
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The given velocity field is not time-dependent, so the flow is not reciprocating. For a flow to be circulating, there must be a non-zero circulation around any closed curve in the flow. The circulation around a closed curve is given by the line integral of the Show more…
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