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A stream function is given by Ψ = 2x2y + (x + 1)y2
The flow rate across a line joining points A(3, 0) and B(0,2) is
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- 0.4 units
- 1.1 units
- 4 units
- 5 units
Correct Option: C
Ψ = 2x2y + (x + 1)y2
At A (3, 0)
Ψ(3, 0) = 2(3)2 - (0) + (3 + 1)(0)2
= 0
At B(2, 0)
Ψ(2, 0) = 2(0)2(2) + (0 + 1)(2)2
= 0 + 4 = 4
Flow rate across line joining A and B = |ΨA - ΨB|
= |0 - 4| units