List of Assumptions for Simplifying Navier-Stokes Problems?

Question

Does anyone have a more complete list of the possible (or at least most common) assumptions that are made when solving the Navier-Stokes equations and what those assumptions mean for simplifying the equations? I've been unable to find something like this online.
I've started this list as best I can, below (feel free to suggest any corrections / improvements / additions):

Assumption
Application/Result

incompressible
$partialrho=0$

steady-state
$frac{partial}{partial t}=0$

negligible friction / inviscid
$mu approx 0$

parallel flow (cartesian, in x)
$vec{V}(u,v,w)=vec{V}(u)=u;  v=w=0,  partial v=partial w=0,cdots$

parallel flow (cylindrical)
$vec{V}(r,theta,z)=vec{V}(z)=u_z;  u_r=u_theta=0,  partial u_r=partial u_theta =0,cdots$

flow not pressure-driven
$frac{partial P}{partial x}approx 0$

pressure-driven flow
$frac{partial P}{partial x}=frac{P_2-P_1}{x_2-x_1}$

Fully-developed flow (in x)
$frac{partial}{partial x}=0,   frac{partial^2}{partial x^2}=0$

(Taylor-)Couette flow
...

Poiseuille flow
...

Newtonian fluid
...

To be clear, this list is intended to be the potential assumptions for problems in cartesian and/or cylindrical coordinates, where the N-S equations are of the form:
$rhofrac{Dvec{V}}{Dt}=-nabla P + rho vec{g} + mu nabla^2vec{V}$
I'm trying to compile this list, to avoid missing assumptions when working problems, since missing a single assumption can double the effort required, as you first try to solve an impossible problem and then have to re-do the problem with the corrected assumptions.
I appreciate any help you can provide.

midget_messiah · Answer

You can add fully developed flow to the list. Derivatives in $x$ are zero.
Further, inviscid need not directly imply $mu approx 0$. You can say the Reynolds number is large and is away from any walls

List of Assumptions for Simplifying Navier-Stokes Problems?

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Assumption	Application/Result
incompressible	$partialrho=0$
steady-state	$frac{partial}{partial t}=0$
negligible friction / inviscid	$mu approx 0$
parallel flow (cartesian, in x)	$vec{V}(u,v,w)=vec{V}(u)=u; v=w=0, partial v=partial w=0,cdots$
parallel flow (cylindrical)	$vec{V}(r,theta,z)=vec{V}(z)=u_z; u_r=u_theta=0, partial u_r=partial u_theta =0,cdots$
flow not pressure-driven	$frac{partial P}{partial x}approx 0$
pressure-driven flow	$frac{partial P}{partial x}=frac{P_2-P_1}{x_2-x_1}$
Fully-developed flow (in x)	$frac{partial}{partial x}=0, frac{partial^2}{partial x^2}=0$
(Taylor-)Couette flow	…
Poiseuille flow	…
Newtonian fluid	…