Jim of WVa
Well Known GateFan
more constants
For a particle of an incompressible, homogeneous and Newtonian fluid, vector X becomes:
X = {x, y, z, P, ρ, μ}
Where:
x, y, z are the coordinates of the fluid particle position.
P is the fluid pressure in the fluid particle.
ρ is the density of the fluid (constant).
μ is the viscosity of the fluid (constant).
If the fluid is compressible, vector X becomes:
X = {x, y, z, P, T, μ, ρ}
And:
P = ρ * n * R * T
Where:
n is the number of moles of fluid per unit mass (constant).
R is the ideal gas law constant.
T is the absolute temperature.
μ is the viscosity (normally a constant, if temperature does not vary much).
If the behavior of the dynamic universe can be quantitatively described, then the evolution of any part of the universe or the universe as a whole can be described in the following manner:
X[SUB]t[/SUB] = f(X)
Where:
X = vector containing all of the state variables of the universe.
X[SUB]t[/SUB] = first time derivative of the vector X.
f(X) = non-linear function of the vector X.
And the non-linear function of the vector X will contain many constants.
I will think up of a good example and come back to you.
For a particle of an incompressible, homogeneous and Newtonian fluid, vector X becomes:
X = {x, y, z, P, ρ, μ}
Where:
x, y, z are the coordinates of the fluid particle position.
P is the fluid pressure in the fluid particle.
ρ is the density of the fluid (constant).
μ is the viscosity of the fluid (constant).
If the fluid is compressible, vector X becomes:
X = {x, y, z, P, T, μ, ρ}
And:
P = ρ * n * R * T
Where:
n is the number of moles of fluid per unit mass (constant).
R is the ideal gas law constant.
T is the absolute temperature.
μ is the viscosity (normally a constant, if temperature does not vary much).