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Homework Statement
Water in an irrigation ditch of width w = 3.0 m and depth d = 2.0 m
flows with a speed of 0.40 m/s. For each case, sketch the situation,
then find the mass flux through the surface: (a) a surface of area wd,
entirely in the water, perpendicular to the flow; (b) a surface with area
3wd/2, of which wd is in the water, perpendicular to the flow; (c) a
surface of area wd/2, entirely in the water, perpendicular to the flow;
(d) a surface of area wd, half in the water and half out, perpendicular
to the flow; (e) a surface of area wd, entirely in the water, with its
normal 30 from the direction of the flow.
Homework Equations
The Attempt at a Solution
The section we are learning is the divergence theorem, but I don't really see the relation between that and this problem. How can I go about approaching this?