Motivation

Outputs

Pressure distribution along the pipe

Inputs

	Intake temperature		Along-pipe temperature profile
	Intake pressure		Fluid density
	Pipeline trajectory TVDss		Fluid viscosity
	Pipeline trajectory inclination,		Pipe cross-section area

Steady-State flow	Quasi-isothermal flow

Homogenous flow	Constant cross-section pipe area along hole

Constant inclination	Linear density

Pressure profile in static fluid column, no flow:

p(L) = \frac{1}{c^*} \cdot \left[ -1 + (1+c^* \, p_0) \cdot \exp(c^*  \rho^*  G \, L)  \right]

p(L) = p_0 +  \frac{1}{c_0} \cdot \left[ -1 + \exp(c_0 \,  \rho_0 \,  G \, L)  \right]

where

gravity acceleration along pipe

See ...