A cube of side 5cm is placed in a fluid. For the following velocity values, calculate the average divergence of the flow. Is there a source or sink within this box? The velocities are given in cm/s. The cube is oriented so that the +z axis exits the front face, the +x axis exits the right face and the +y axis exits the top face.
Front: V = 30i + 60 j - 30 k
Right V = 20 i - 20 j + 20 k
Left V = -100 i + 200 j - 300 k
Top V = 5 i + 50 j - 10 k
Bottom V = 0
Back V = 250 k
The divergence Theorem
(surface integral) ∫ ∇ F dA = (surface integral) ∫ F n ds
The Attempt at a Solution
I know how to calculate the normal vector but i can not figure out how to go about finding the surface integral.
I would appreciate one example