- #1
Leo Liu
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I came across this notation when reading the wiki article on Venturi effect, which baffled me. Can someone please tell me its meaning?
Notation in fluid dynamics: A circle with a horizontal bar inside
- Thread starter Leo Liu
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In summary, the Venturi effect is a phenomenon in which pressure measurement interferes with the actual values of temperature, pressure, molar mass, density, and concentration of a liquid. This is denoted with a "funny" notation and can be further explained in an article geared towards engineers.
I came across this notation when reading the wiki article on Venturi effect, which baffled me. Can someone please tell me its meaning?
- #2
phystro
- 25
- 10
It is actually explained in a confusing way. The act of pressure measurement itself is interfering with the actual values of temperature T, pressure P, molar mass Μ, density ρ and concentration C of the liquid. Hence these physical quantities around the pressure-based meter have different values which are denoted with this "funny" notation.
- #3
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I assume the article is https://en.m.wikipedia.org/wiki/Venturi_effect.
Se if this article oriented more towards engineers helps:
https://instrumentationtools.com/pressure-temperature-compensation/
Se if this article oriented more towards engineers helps:
https://instrumentationtools.com/pressure-temperature-compensation/
1. What does the circle with a horizontal bar inside represent in fluid dynamics?
The circle with a horizontal bar inside is a commonly used notation in fluid dynamics known as the stream function. It is a mathematical function that describes the flow of a fluid in a two-dimensional plane.
2. How is the stream function related to the velocity of the fluid?
The stream function is related to the velocity of the fluid through the equation: v = ∇ x ψ, where v is the velocity vector and ψ is the stream function. This means that the stream function can be used to determine the velocity of the fluid at any point in the flow field.
3. Can the stream function be used for both incompressible and compressible fluids?
Yes, the stream function can be used for both incompressible and compressible fluids. However, for compressible fluids, the stream function is only valid for irrotational flows, where the fluid particles do not rotate as they move through the flow field.
4. How is the stream function used in the study of fluid dynamics?
The stream function is a useful tool in the study of fluid dynamics as it allows for the simplification of complex flow problems into two-dimensional problems. It is also used to determine important flow properties such as circulation, vorticity, and velocity potential.
5. Are there any limitations to using the stream function in fluid dynamics?
While the stream function is a valuable tool in fluid dynamics, it does have some limitations. It can only be used for two-dimensional flows and is not applicable for three-dimensional flows. Additionally, it is only valid for steady-state flows and cannot be used for transient or unsteady flows.
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