MMAN2700 Chapter Notes - Chapter 8: Free Surface, Mcgraw-Hill Education
10 Nov 2020
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In many situations fluids act as if they are rigid bodies, that is the shape does not change (and there is no deformation). Such situations occur when fluids are both at rest and under acceleration. When a fluid undergoes acceleration, it initially gets pushed backwards creating a splash but after a while a new free surface is formed where each particle assumes the same acceleration. Once this occurs, the fluid is said to act as a rigid body. The general equation of motion of a fluid is given by: This equation can be resolved into the three principle components as: In scalar form in the three orthogonal directions, the equation can be split and written as: Where ax, ay and az are the accelerations in the x-, y- and z- directions. It should be noted that in the analysis, the z- direction is up rather than y-.
