For a flow, the velocity components are given by u = (\lambdaxy^2-x^3y^ 2 ) and v = (x^2y ^3 - 3y^3 ). What is the value of \lambda for the possible flow field which includes steady incompressible flow?

SSC JE Civil Engineering 2018 Set 2 Solved Paper

Question : 136 of 200

Marks: +1, -0

For a flow, the velocity components are given by

u = (λxy^2-x^3y^ 2 )

and

v = (x^2y ^3 - 3y^3

). What is the value of

λ

for the possible flow field which includes steady incompressible flow?

Solution:

For steady incompressible flow, du/dx + dv/dy = 0

λ= 9

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