Show that the fluid volume change is zero

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1. In an incompressible flow, the volume of the fluid is constant. Using the continuity equation, ∇·v = 0, show that the fluid volume change is zero.

2. Find Dv/Dt in polar coordinates by taking the derivative of the velocity. Remember that the unit vectors have derivatives.

Reference no: EM131313772

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Show that the fluid volume change is zero : In an incompressible flow, the volume of the fluid is constant. Using the continuity equation, ∇·v = 0, show that the fluid volume change is zero.

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