For incompressible fluids the volumetric dilatation rate

Chapter 6, Problem 6.11

(choose chapter or problem)

For incompressible fluids the volumetric dilatation rate must be zero; that is, \(\nabla \cdot \mathbf{V}=0\). For what combination of constants, a, b, c, and e can the velocity components

               u = ax + by

               v = cx + ey

               w = 0

be used to describe an incompressible flow field?

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