Question
Download Solution PDFCalculate the resultant velocity of a stream function given by: Ψ = 5x - 6y.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The velocity in-stream function is given as,
\(u = \frac{{ - \partial {\rm{\Psi }}}}{{\partial y}} ,\;\nu = \frac{{\partial {\rm{\Psi }}}}{{\partial x}} \)
Calculation:
Given:
ψ = 5x - 6y, \(u = \frac{{ - \partial {\rm{\Psi }}}}{{\partial y}} =~6,\;\nu = \frac{{\partial {\rm{\Psi }}}}{{\partial x}} =5\)
Resultant velocity \( = \sqrt {{u^2} + {\nu ^2}} = \sqrt {{6^2} + {5^2}} = 7.81\;m/s\)Last updated on Feb 24, 2025
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