Rigid Line $—$ Losses of a rigid line as a function of Reynolds number

The RigidLine component describes the laminar/turbulent flow through a circular, smooth rigid line; that is, it  calculates the flow rate q as a function of pressure drop dp. There are two flow modes:

 0 < Re < ReCrit laminar (Hagen-Poiseuille) ReCrit < Re turbulent (Blasius)

The functions q = q(Re) and q = q(dp) are unique. The geometric volume of the lumped volumes at each port is computed from the parameters length and area. Use the modifier(s)

VolumeA(port_A(p(start=1e5,fixed=true)))

and/or

VolumeB(port_A(p(start=1e5,fixed=true)))

to set the initial condition(s) for the pressure of the lumped volume(s) [Pa].

Related Components

 Long line with laminar flow

Connections

 Name Description Modelica ID ${\mathrm{port}}_{A}$ Layout of port where oil flows into an element ($0<{m}_{\mathrm{flow}}$, ${p}_{B}<{p}_{A}$ means $0<\mathrm{Δp}$) port_A ${\mathrm{port}}_{B}$ Hydraulic port where oil leaves the component (${m}_{\mathrm{flow}}<0$, ${p}_{B}<{p}_{A}$ means $0<\mathrm{Δp}$) port_B $\mathrm{oil}$ oil

Parameters

 Name Default Units Description Modelica ID ${\mathrm{ΔT}}_{\mathrm{system}}$ $0$ $K$ Temperature offset from system temperature dT_system use volume A $\mathrm{true}$ If true, a volume is present at port_A useVolumeA use volume B $\mathrm{true}$ If true, a volume is present at port_B useVolumeB ${V}_{A}$ ${10}^{-6}$ ${m}^{3}$ Geometric volume at port A volumeA ${V}_{B}$ ${10}^{-6}$ ${m}^{3}$ Geometric volume at port B volumeB $\ell$ $10$ $m$ Line length length $d$ $0.05$ $m$ Line diameter diameter

Constants

 Name Value Units Description Modelica ID $\mathrm{ReCrit}$ $2.32·{10}^{3}$ $1$ Critical Reynolds number ReCrit