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Mechanics encompasses statics (stationary) and dynamics (moving). Applies to many fields and not just fluids.
Dynamics is the part of Mechanics (which, in turn, is a part of Physics) that studies movement and its causes. Basically, it studies movement and the forces that cause movement. So, Dynamics is a subset of Mechanics. Fluid mechanics is the part of mechanics applied specifically to fluids. And fluid dynamics is the subset of fluid mechanics that studies the movement of fluids. Involves Bernouille equation, continuity equation, etc. A kinda beautiful part of Physics! If you haven't studied it, I strongly recommend you do. You'll deal with divergents, gradients, rotationals, Jacobian matrices, etc
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