Question
Download Solution PDFThe stream function is given by the expression ψ = 2x2 - y2. What is the resultant velocity at a point denoted by x = 2 and y = 3 ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Given;
Stream function
ψ = 2x2 - y2
As per Cauchy Riemann equations
\(u = -\frac{\partial\psi}{\partial y}\) = - (-2y) = 2y
\(v = \frac{\partial\psi}{\partial x}= 4x\)
At (2,3),
u = 6 unit
v = 8 units
The resultant velocity is
(V) \(=\sqrt{u^2+v^2}\)
V \(=\sqrt{6^2+8^2}\)
V = 10 units
Last updated on Jul 2, 2025
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