PMF_darcylaw_re(): Reynolds number of a porous media flow

About:

Calculate the Reynolds number of a porous media flow.

Porous media grain diameter :

\begin{equation} d = \sqrt{\frac{k}{n}} \end{equation}

Reynolds number: \begin{equation} Re = \frac{q \times d}{\mu} \end{equation}

 Where,

$q$, specific discharge » PMF_darcylaw_q() - $\frac{m}{s}$;

$\mu$, dynamic viscosity » WATER_viscosity_dvisc() , $Pa \times s$.

$k$, intrinsic permeability, $m^2$;

$n$, media porosity, $0...1$.

Module: PorousMediaFlow

Function: PMF_darcylaw_re(dh,dx,t,s,k,n)

Parameters:

dh, variation of water level, m;
dx, distance between water levels, g/kg;
t , water temperature, oC;
s, water salinity, g/kg;
k, intrinsic permeability, m2;
n, media porosity,0...1.

Sample code:

dh = -1.0 # (m)
dx = 100 # (m)
k = 10**(-10) #(m2)
n = 0.35
t = 10 #(.oC)
s = 2.5 #(g/kg)

re = PMF_darcylaw_re(dh,dx,t,s,k,n)

print("Re:",re)

Result:

Re: 0.07578544646918924