CVEN 3313 Chapter Notes - Chapter 3: Net Force, Archerfish, Centrifugal Force

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Section 3. 04 physical interpretations and alternate forms of the bernoulli equation. Recall that the application of f=ma along and normal to the streamline results in the equations: (1) (2) The following basic assumptions were made to obtain these equations: the flow is steady, the fluid is inviscid and incompressible. The bernoulli equation was obtained by integration of the equation of motion along the (cid:862)(cid:374)atu(cid:396)al(cid:863) (cid:272)oo(cid:396)di(cid:374)ate di(cid:396)e(cid:272)tio(cid:374) of the st(cid:396)ea(cid:373)li(cid:374)e. There are three processes involved in the flow: mass times acceleration, pressure, weight. Dividing equation (1) by density, we get an alte(cid:396)(cid:374)ate (cid:271)ut e(cid:395)ui(cid:448)ale(cid:374)t fo(cid:396)(cid:373) of be(cid:396)(cid:374)oulli"s equation, listed below, where each term has the units energy per unit mass. This equation relates work done by a force, work done by the weight and pressure forces, and the kinetic energy of the particle. The bernoulli equation can be written in terms of heights called heads.

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