Dyn Friction $—$ Dynamic friction block for the TLM longline model - Johnston (2006)

Block has one continuous Real input and one continuous Real output signal.

 Equations $\mathrm{msim/FOR}\left(\mathrm{msim/IN}\left(\mathrm{i#1},1..n\right),\left\{\mathrm{Sum.u\left[i#1\right]}=-\frac{8\mathrm{\nu }T\mathrm{g\left[i#1\right].y}}{{\mathrm{D}}^{2}},\mathrm{g\left[i#1\right].u}=u\right\}\right)$ $y=\mathrm{Sum.y}$ $\mathrm{Sum.u\left[n + 1\right]}=u$

Variables

 Name Value Units Description Modelica ID $\mathrm{Sum}$ Sum $g$ g

Connections

 Name Description Modelica ID $u$ Connector of Real input signal u $y$ Connector of Real output signal y

Parameters

General Parameters

 Name Default Units Description Modelica ID $L$ $m$ Total length of line L $\mathrm{D}$ $m$ Line diameter D $a$ $\frac{m}{s}$ Speed of sound a $\mathrm{\nu }$ $\frac{{m}^{2}}{s}$ Kinematic viscosity nu $n$ $1$ Number of approx. terms in series n $\mathrm{initType}$ [1] Type of initialization (1: no init, 2: steady state, 3: initial state, 4: initial output) initType

[1] $\mathrm{Modelica.Blocks.Types.Init.NoInit}$

Constant Parameters

 Name Default Units Description Modelica ID $\mathrm{num}$ num $\mathrm{den}$ den $T$ $\frac{L}{a}$ T