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A flow machine is one that ingests a stream of fluid, processes it internally in some fashion, and then ejects the processed fluid back into the ambient surroundings. Several assumptions are made with ideal parameters for the reader to grasp the concepts explained.
- Streamtubes
A group of streamlines that bound an elementary portion of a...
- Streamtubes
This tube is called a streamtube. From mass conservation , we see that for a steady, one-dimensional flow, the mass-flow rate is constant along a streamtube. In a constant density flow, therefore, the cross-sectional area of the streamtube gives information on the local velocity.
Streaklines are the loci of points of all the fluid particles that have passed continuously through a particular spatial point in the past. Dye steadily injected into the fluid at a fixed point (as in dye tracing) extends along a streakline. Pathlines are the trajectories that individual fluid particles follow. These can be thought of as ...
In the latter case, a stream tube acts like an actual tube through which the fluid is flowing. This follows because there can be no flow across the walls, and into the tube, because the flow is, by definition, always tangential to these walls.
A group of streamlines that bound an elementary portion of a flowing fluid is called a streamtube. For small cross-sectional areas of a streamtube, the velocity of the center of the cross section can be taken as the average velocity of the section as a whole. Xin Jin, ... Wenbin Ju, in Renewable and Sustainable Energy Reviews, 2015.
Consider an element of fluid bounded by a “tube of streamlines”, known as a stream tube. In steady flow, no fluid can cross the walls of the stream tube (as they are everywhere in the direction of flow). Hence for incompressible fluids the mass flux ( = mass flow per unit time) across
The preceding considerations, that covered the derivation of the integral form of the basic equations of fluid mechanics, can also be used advantageously to derive simplified equations applicable to so-called flow filaments or also called stream tubes.
