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4 votes
2 answers
2k views

Why does entropy jump across a shockwave?

Using the Rankine-Hugoniot relations for a shockwave, one can show that entropy jumps across the shock, so that the entropy difference between upstream and downstream conditions is given by $$s_2 - ...
Tofi's user avatar
  • 2,659
3 votes
3 answers
1k views

From where does irreversibility arise in the Navier-Stokes momentum equation?

A form of the Navier-Stokes momentum equation can be written as: $$ \rho \left( \frac{\partial \mathbf{u}}{\partial t} + \mathbf{u} \cdot \nabla \mathbf{u} \right) = - \nabla \bar{p} + \mu \, \nabla^2 ...
Mathews24's user avatar
  • 669
2 votes
2 answers
433 views

Reversibility of compressed air

Consider a gas hydro statically squeezed. Now we slightly squeeze the gas, thus causing hydrostatic compression of the air. The slightly buoyant State 1 air then sinks to the bottom, shown in State 2 ...
Thermodynamix's user avatar
1 vote
0 answers
155 views

Entropy variation produced by a shock wave

I'm studying Compressible Fluid Mechanics through the book "Fluid Mechanics", 4 ed., by Frank White. I learnt that a shock wave is an irreversible process that occurs in the flow. Because of that, I ...
Élio Pereira's user avatar
0 votes
1 answer
27 views

If we replace dye in a Couette cell by little plastic balls, will rotating the cell show reversible behavior of the colloid?

In this great video, presented by R.I. Taylor, you can see that a dye introduced into a Couette cell shows reversible behavior if the walls of the two cylinders are turned a few times after which they ...
Deschele Schilder's user avatar
-1 votes
1 answer
2k views

Why is Stokes flow reversible?

Stokes flow is reversible because it is linear and instantaneous. Instantaneous means that is entirely the boundary conditions that define the movement at any given time. What does the definition of "...
veronika's user avatar
  • 2,786
0 votes
1 answer
128 views

Can we say higher entropy leads to better mixing in fluids?

We know irreversibilities always cause the entropy of the system to increase, but if we numerically find entropy generation due to heat transfer/fluid friction in a closed system, can we conclude ...
DBTKNL's user avatar
  • 28
1 vote
1 answer
77 views

Why does a soda bottle foam or froth when dropped? [duplicate]

Secondly, if I do drop a soda bottle how long do I have to keep it for it to return to its original state or condition, I.e. safe to open without froth spraying everywhere; or is there some rule of ...
Arif Burhan's user avatar
7 votes
4 answers
9k views

Could you filter coffee back to being pure water?

Okay, so coffee filters remove solid matter from the beverage, whilst leaving the remaining coffee intact for caffeiney goodness. But it's got me thinking. Is there a way we could filter the coffee ...
AJFaraday's user avatar
  • 487
8 votes
2 answers
868 views

Assumptions of thermodynamic & chemical equilibrium in fluid-dynamics

I am reading about the Euler equations of fluid dynamics from Leveque's Numerical Methods for Conservation Laws. After introducing the mass, momentum and energy equations, some thermodynamic concepts ...
smilingbuddha's user avatar