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What is the incompressibility condition in Navier-Stokes equation?

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+1 vote
in Fluid Mechanics by (118k points)
What is the incompressibility condition in Navier-Stokes equation?

(a) ∇.u=0

(b) ∇.u>0

(c) ∇.u<0

(d) ∇.u=1

I have been asked this question in quiz.

My enquiry is from Navier-Stokes Equations of Motion in division Fluid Dynamics of Fluid Mechanics

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Correct answer is (a) ∇.u=0

Explanation: This comes from the relation between the divergence of the flow. It also relates the Jacobian transformation with Lagrangian and Eulerian coordinates. Thus, ∇.u=0.

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