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6. The velocity of a fluid for (x, y, z) is given by v = (ax +by, cx + dy,0) a. Find the conditions on the constants a, b, c and d such that there exists: ii. Irrotational flow i. Incompressible flow b. Verify that, in this case v = V(ax² + 2bxy-ay²).

6. The velocity of a fluid for (x, y, z) is given by v = (ax +by, cx + dy,0) a. Find the conditions on the constants a, b, c and d such that there exists: ii. Irrotational flow i. Incompressible flow b. Verify that, in this case v = V(ax² + 2bxy-ay²).

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6. The velocity of a fluid for (x, y, z) is given by v = (ax + by, cx + dy,0) a. Find the conditions on the constants a, b, c and d such that there exists: ii. Irrotational flow i. Incompressible flow b. Verify that, in this case v = V(ax² + 2bxy-ay²).
Transcribed Image Text:6. The velocity of a fluid for (x, y, z) is given by v = (ax + by, cx + dy,0) a. Find the conditions on the constants a, b, c and d such that there exists: ii. Irrotational flow i. Incompressible flow b. Verify that, in this case v = V(ax² + 2bxy-ay²).
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