MECH 361 Lecture Notes - Lecture 6: Free Surface

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Accelerating container y x x a = const u = u ( t ) up/a = up/ f + u f /a = 0 + u t( ) vp/a = vp/ f + v f /a = 0. X + c1 y( ) p x, y = - a x x + c 1 y. = d dy c 1 y y momentum. 0 = g d c 1 y( ) Y or c 1 y( ) = g y + const. ) = a x x g y + const = a x x + g y. When x = y = 0, p = patm const = patm p x, y. ) = ax x + g y. All fluid particles on the free surface xs, ys. ) the pressure is atmospheric p xs, ys. ) + patm ax xs + g ys.

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