SSC JE Mechanical Engineering 11 Oct 2020 Shift 1 Papers

Question : 179 of 200

Marks: +1, -0

The flow fluid is expressed as u = a cosα and v = a sinα for constant a and α. The equation of streamline passing through origin in this flow field is calculated by:

$y=x/{\tanα}$
y = x tan α
$y = x^2$
$y = x^2 \tan α$

Validate

Solution:

{u}={a} \cos \α, {v}={a\sin} \α

{{dx}}/{{a} \cos \α}={{dy}}/{{a} \sin \α}

dy = \tanα dx

By integrating both sides

y = x\tan α

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