Question
Download Solution PDFThe flowing fluid is expressed as u = a cosα and v = a sinα for constant a and α. The equation of streamline passing through the origin in this flow field is calculated by:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept :
Streamline equation
\( \frac{{{\rm{dx}}}}{{\rm{u}}} = \frac{{{\rm{dy}}}}{{\rm{v}}}\)
Calculation:
Given:
u = acos α, v = asin α
\( \frac{{{\rm{dx}}}}{{{\rm{a}}\cos {\rm{α }}}} = \frac{{{\rm{dy}}}}{{{\rm{a \sinα }}}}\)
dy = tanα dx
By integrating both sides
y = xtan α
Last updated on May 28, 2025
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