Consider the two-dimensional velocity field given by V^{\to} = (5 + a_{1}x + b_{1}y) i^{\^} + (4a_{2}x + b_{2}y) j^{\^}, where a 1 , b 1 , a 2 and b 2 Are constants. Which one of the following conditions needs to be satisfied for the flow to be incompressible?

Correct Answer is : a1 + b2 = 0

GATE Mechanical Engineering (ME) 2017 Shift 1 Solved Paper

Question : 17 of 65

Marks: +1, -0

Consider the two-dimensional velocity field given by

V↖{→} = (5 + a_{1}x + b_{1}y) i↖{\^} + (4a_{2}x + b_{2}y) 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?

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