Suppose we have the set up shown in the thumbnail, in which an incompressible fluid moves from left to right, trapped by converging streamlines.
The rate of acquisition, F, of momentum by the fluid is surely
F = \rho A_2 v_2^2 - \rho A_1 v_1^2
= \rho A_1 v_1^2 \left\{\frac{A_1}{A_2} -...