Recent content by mrBart

I would also like to see such a literature reference for my thesis. Anybody?

Ah yes, of course, I didn't consider the idea of having multiple liquids.

I am following this thread with interest. Can I rephrase boneh3ad's three regimes into bigfooted's definition as (1) constant-density flow -> incompressible flow of an incompressible fluid (2) variable-density flow -> incompressible flow of a compressible fluid (3) compressible flow (nothing...

I never gave the Boussinesq approximation much attention because it involves temperature changes, whereas I want to solve the isothermal Navier-Stokes. Thanks for the hint though. I disagree here. A proof that a flow's compressibility is proportional to the squared Mach number of the flow can...

Thanks for the references. Unfortunately I was unable to find the case of variable mass density in both books. The first book does discuss the SIMPLE algorithms but assumes constant mass density. For some reason (which is not entirely clear to me) very few people discuss the case of...

Not to the physical university library at the moment, but I can access the electronic university library. Maybe the CFD text(s) you have in mind also exist in e-book format.

Thanks all for your contributions. One final request. I am currently looking into how a variable mass density is incorporated into numerical algorithms which solve an incompressible flow using the Poisson equation for the pressure, e.g. the SIMPLE or SIMPLER algorithm. However I cannot find a...

I am not entirely sure whether I am following you here. Do you mean that pressure can only be determined up to an arbitrary constant because the Navier-Stokes equations only depend on the pressure gradient? (gradient of a constant is zero) And hence they only depend on the fluctuating part of...

Thanks I already knew, still, it feels good to read a post from someone who also mentions an incompressible *fluid* is not the same as an incompressible *flow*. Yes, it was also my hunch I need some equation of state from which I can compute the pressure. I went through the document but noticed...

No, a simple counter example can demonstrate that, illustrated as follows Say we have a piston filled with a gas at time t0. Next we push the piston downwards and the gas compresses, say this is time t1. So, the mass density of the gas increases over time, ##\frac{\partial \rho(x,t)}{\partial...

The fluid is compressible, for example a gas. But the flow of the fluid is in the incompressible regime (i.e. low Mach number). This is a valid situation. (updated my question to make this more clear)

I did a lot of googling but could not find a satisfying answer to my question, hence a post here. Question: How to solve (or close) the isothermal incompressible Navier-Stokes equations for an isothermal compressible fluid? Situation: We have a compressible fluid, for example a gas. The flow...