The base driving equations are:

(1)	$\begin{array}{l}\displaystyle \frac{d p}{d l} = -\rho \, u \, \frac{d u}{d l} + \rho \, g \, \cos \theta + f_{\rm cnt, \, l}\end{array}$

(2)	$\begin{array}{l}\displaystyle \left( 1 - \frac{c(p) \, \rho_s^2 \, q_s^2}{\rho \, A^2} \right ) \frac{dp}{dl} = \rho \, g \, \frac{dz}{dl} - \frac{\rho_s^2 \, q_s^2 }{2 A^2 d} \frac{f(p)}{\rho}\end{array}$

(3)	$\begin{array}{l}\displaystyle q(l) = \frac{\rho_s \cdot q_s}{\rho}\end{array}$

(4)	$\begin{array}{l}\displaystyle u(l) = \frac{\rho_s \cdot q_s}{\rho(p) \cdot A}\end{array}$

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