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The quantitative study of how fluids (gases and liquids) move.
0
votes
1
answer
411
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Driving Euler-Bernoulli equation for a compressible viscous flow from continuum conservation...
My understanding of Euler-Bernoulli (EB) equation is that it is the energy balance equation in Lagrangian form for an inviscid, incompressible and steady-state flow . From different sources I see diff …
0
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Relationship between flow and pressure gradient in a one-dimensional compressible fluid
I think I have figured it out where the equations above come from. They are not empirical equation but approximations generated directly from conservation law of energy. It is also not for a tube in p …
1
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An equivalent for the Bernoulli equation for viscous liquids
I think Euler-Bernoulli equation is nothing but the energy equation of a steady-state inviscid flow in Lagrangian form. It means the total non-thermal energy of an imaginary particle doesn't change al …
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0
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106
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How to calculate convection between a hot and a cold area through a circular hole?
Consider the below problem:
where we have two half infinite worlds with $T_2 < T_1$ and a circular hole with the diameter of $D$ in an infinite isolating wall. There is no pressure d …
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2
answers
684
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Relationship between flow and pressure gradient in a one-dimensional compressible fluid
Consider a one dimensional model (tube with diamter $D$) with a compressible viscose ($\mu$) fluid (e.g. air). further assumptions are
conduction and radiation are negligible
gravity's effect is ne …
2
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On deriving a fluid flow pressure drop model using either physical theory or empirical methods
As I'm dealing with the same issue I though maybe sharing my findings would help the next person get one step closer. so please consider this as a sharing knowledge rather than an answer.
The quadrat …
1
vote
Governing equations and boundary conditions for a steady-state compressible viscous flow in ...
After doing quite some research I think I have the correct equations. Unfortunately all of the equations above (except for the continuity) are wrong.
Linear momentum:
The linear momentum conservati …
2
votes
0
answers
395
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Total force generated in a pneumatic cylinder-piston with known gap size
Assuming that we have a pneumatic cylinder-piston with arbitrary but known surface area A, a known clarence c, and a known length L. What is the best model to describe the total steady-state force app …
2
votes
1
answer
479
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Governing equations and boundary conditions for a steady-state compressible viscous flow in ...
I'm trying to simulate a 2D axisymmetric model of steady-state compressible viscous flow using Mathematica, but I get some errors. There is a chance that I'm making some mistakes with the governing eq …