CVEN 3313 Chapter Notes - Chapter 4: Free Body Diagram, Unit Vector, Air Compressor
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As described in the previous section we can describe fluid motion by (1) following individual particles or (2) remaining fixed in space and observing different particles. In either (cid:272)ase, apply newton"s se(cid:272)ond law to des(cid:272)ri(cid:271)e parti(cid:272)le a(cid:272)(cid:272)eleration. For the lagrangian method we describe the fluid acceleration like solid body dynamics for each particle. For the eulerian description we describe the acceleration field as a function of position and time without actually following any particular particle. Acceleration is the time rate of change of velocity for a given particle. For unsteady flows, the velocity at a given point in space may vary with time. Unsteady effects: the local derivative is a result of the unsteadiness of the flow. Streamline coordinates: an example of this is a two-dimensional flow illustrated to the right, the orientation of the unit vector along the streamline changes with distance along the streamline.