The velocity components in the x and y directions are given by:
u = λ × x (y²) - (x²) × y and v = x × (y²) - × (y³)
For a continuous flow, the value of λ is:

Question

Question

This question was previously asked in

HPCL Engineer Mechanical 04 Nov 2022 Official Paper (Shift 2)

Answer 1

Concept:

For a possible continuous flow continuity equation must be satisfied :

...........Eqn(1)

Calculation:

Given:

u = λ.x.(y2) - (x2).y

⇒

v = x .(y2) - .(y3)

⇒

Using equation (1),

λY²−2XY + 2XY−2Y² = 0

⇒λY2 = 2Y2

⇒ λ = 2

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