4.4 The velocity field in the region shown is given by V = aj+byk where a=10m s and b=5 s−1. For the 1 m× 1 m triangular control volume (depth w=1 m perpendicular to the diagram), an element of area 1 may be represented by dA1 =wdzj − wdyk and an element of area 2 by dA2 = −wdyk.

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N P4.4 Control volume (a) Find an expression for V. dA. (b) Evaluate J, V. dA1. (c) Find an expression for V. dA. (d) Find an expression for V(V. dA). (e) Evaluate (V dA2).