Consider the two-dimensional velocity field given by V =

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Consider the two-dimensional velocity field given by V = (5 + a₁x + +b₁y) ˆ i + (4 + a₂x + b₂y) ˆ j, where a₁, b₁, a₂ and b₂ are constants. Which one of the following conditions needs to be satisfied for the flow to be incompressible?

1. a₁ + b₁ = 0
2. a₁ + b₂ = 0
3. a₂ + b₂ = 0
4. a₂ + b₁ = 0

Correct Option: B

For continuous and incompressible flow
u_x + u_y = 0
a₁ + b₂ = 0