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The quantitative study of how fluids (gases and liquids) move.

0 votes
1 answer
411 views

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 …
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  • 373
0 votes

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 …
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  • 373
1 vote

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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  • 373
0 votes
0 answers
106 views

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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  • 373
1 vote
2 answers
684 views

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 …
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  • 373
2 votes

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 …
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  • 373
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 …
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  • 373
2 votes
0 answers
395 views

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 …
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  • 373
2 votes
1 answer
479 views

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 …
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