Newtons second law is the foundation for the differential equation of conservation of linear momentum (to be

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Newton’s second law is the foundation for the differential equation of conservation of linear momentum (to be discussed in Chap. 9). In terms of the material acceleration following a fluid particle (Fig. P7–21), we write Newton’s second law as follows:

Or, dividing both sides by the mass m of the fluid particle,

Write the primary dimensions of each additive term in the (second) equation, and verify that the equation is dimensionally homogeneous. Show all your work.


Fig. P7–21

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