1.

Consider the two-dimensional velocity field given by \(\vec V = \left( {5 + {a_1}x + {b_1}y} \right)\hat i + \left( {4{a_2}x + {b_2}y} \right)\hat j,\) where a1, b1, a2 and b2 Are constants. Which one of the following conditions needs to be satisfied for the flow to be incompressible?

A. a1 + b1 = 0
B. a1 + b2 = 0
C. a2 + b2 = 0
D. a2 + b1 = 0
Answer» C. a2 + b2 = 0


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