The general form of the continuity equation for incompressible flow is ∂u/∂x+∂v/∂y+∂w/∂z=0. Simpl...

The general form of the continuity equation for incompressible flow is ∂u/∂x+∂v/∂y+∂w/∂z=0. Simplify this equation for the given scenario (Figure 1) and collect all the terms on one side. Use subscripts to represent partial derivatives (for example, ∂u/∂x=ux and ∂2u/(∂x∂y)=uxy). Using this notation, the continuity equation can be written as ux+vy+wz=0. Express your answer in terms of ρ, u, v, w, p, g, and/or μ. Use subscripts to represents partial derivatives.