CVEN 3313 Chapter Notes - Chapter 3: Inviscid Flow, Free Body Diagram, Surface Tension
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Ne(cid:449)to(cid:374)"s se(cid:272)o(cid:374)d la(cid:449) of (cid:373)otio(cid:374): the (cid:374)et for(cid:272)e a(cid:272)ti(cid:374)g o(cid:374) a fluid parti(cid:272)le u(cid:374)der (cid:272)o(cid:374)sideratio(cid:374) must equal its mass times acceleration (as shown below) An inviscid fluid means that the fluid has no viscosity, so it is frictionless. In real life, there are no inviscid fluids, since every fluid supports shear stresses when it is displaced. However, with an assumption of inviscid (frictio(cid:374)less fluids) ne(cid:449)to(cid:374)"s se(cid:272)o(cid:374)d la(cid:449) applies: Inviscid fluid flow is governed by pressure and gravity forces. To appl(cid:455) ne(cid:449)to(cid:374)"s law, we have to define a coordinate system, which can be 3-d or 2-d. The two-dimensional from is described by the euler equations. Fluid particles accelerate normal to and along streamlines. Streamline acceleration results from two things: the speed of the particle, the speed of the particle generally varies along the streamline. The steady flow of components of acceleration in the s and n directions are given below.