Project ForgeFluid Mechanics
Bernoulli's Equation
GATE 2010
Medium
The stream function in an xy-plane is given by ψ=(1/2)x²y³. The velocity vector for this stream function is
- Axy³i − (3/2)x²y²j
- (3/2)x²y²i − xy³j
- C(3/2)x²y²i + xy³j
- Dxy³i + (3/2)x²y²j
Explanation
u=∂ψ/∂y=(1/2)x²×3y²=1.5x²y². v=−∂ψ/∂x=−(1/2)×2xy³=−xy³. Velocity vector=1.5x²y²i−xy³j.
Source: GATE CH 2010 (2010)
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