Question 34 / 40:  Which of the following expresses the continuity equation (conservation of mass) for an incompressible fluid at steady state?
A  $$ \bf{v} = 0$$
B  $$ {{\partial \bf{v}} \over {\partial t}} + \nabla \cdot t = 0 $$
C  $$\bf{\nabla \cdot v} = 0$$
D  $$ {{\partial \rho} \over {\partial t}} + \bf{v} = 0 $$
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Explanation:

See subunit 3.1. Start with the full continuity equation. The time derivative is zero and density is a constant (so one can divide the equation by ρ).

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Fluid Mechanics ME201

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Attribution:  Stephanie Redfern and Tuan Dinh. Fluid Mechanics. The Saylor Academy 2014, http://www.saylor.org/courses/me201/
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