Talk:Navier–Stokes equations

Plea to use $$P$$ for pressure not $$p$$.
Reasons to use or avoid upper case:

1. Many of the pages about pressure use $$P$$. Example: https://en.wikipedia.org/wiki/Ideal_gas_law There's a disclaimer that different fields use lower case $$p$$ and others use upper case $$P$$. I think MOST audiences are like college students. Most of them will be using $$P$$. In some grad school classes they use $$p$$, but it cannot be stressed enough by me that those audiences are smaller.

2. Per https://en.wikipedia.org/wiki/Intensive_and_extensive_properties, there intensive things tend to be lower case. This would be why to stick with lower case for pressure.

3. Momentum has the same letter and is lower case. Momentum and pressure having the same variable is confusing.

2/3 reasons say raise case. Please, let's vote and pick the case most people are really using in real situations for the pressure. If I lose the vote so be it, then let's change all the uppercases to lower cases. To be using both cases is blatant tyranny. Jason Arthur Taylor Jasontaylor7 (talk) 20:28, 29 March 2021 (UTC)

why include HOPF Fibations?
somebody is "showing off ", confusing mere mortals 150.143.189.203 (talk) 15:06, 16 April 2021 (UTC)

remove self-promotion of Jos Stam
remove chapter: Navier–Stokes equations use in games. — Preceding unsigned comment added by 213.206.223.58 (talk) 14:25, 22 November 2021 (UTC)

Logical errors in derivations
In two places (sections: General continuum equations, and Continuity equation for incompressible fluid) this article equates volume integrals to their integrands, without providing any justification or explanation. Lacshoet (talk) 15:19, 21 January 2024 (UTC)


 * You are correct. This is an error.  I will try to correct this.TMM53 (talk) 05:39, 8 March 2024 (UTC)
 * Integral equations were corrected.TMM53 (talk) 03:10, 20 March 2024 (UTC)

Departure from continuum model?
You say "The Navier–Stokes equations assume that the fluid being studied is a continuum (it is infinitely divisible and not composed of particles such as atoms or molecules)," but then, "When the flow is incompressible, ρ does not change for any fluid particle, "

Could the late introduction of a fluid particle suggest a departure from a strictly continuum-based fluid model? Gpsanimator (talk) 03:22, 22 April 2024 (UTC)