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Heated Pipe

Model of a pipe with heat exchange

Description

The Heated Pipe component is a two-port thermal-fluid component that models a pipe with friction loss, head loss, and heat exchange with a heat port. The equations are

 ${Q}_{\mathrm{flow}}={Q}_{\mathrm{fric}}+{Q}_{\mathrm{port}}$ ${T}_{\mathrm{port}}={T}_{q}$

Connections

 Name Description ${\mathrm{flowPort}}_{a}$ Thermal-fluid flow port ${\mathrm{flowPort}}_{b}$ Thermal-fluid flow port $\mathrm{heatPort}$ Thermal port

Variables

 Symbol Units Description Modelica ID $\mathrm{Δp}$ $\mathrm{Pa}$ Pressure drop from $a$ to $b$ dp ${Q}_{\mathrm{flow}}$ $W$ Heat addition to flow in pipe Q_flow ${Q}_{\mathrm{fric}}$ $W$ Power loss due to friction in pipe Q_friction ${Q}_{\mathrm{port}}$ $W$ Heat flow into $\mathrm{heatport}$ heatPort.Q_flow ${T}_{\mathrm{port}}$ $K$ Temperature at heatport heatPort.T ${T}_{q}$ $K$ Temperature used for heat exchange with the ambient.  Depends on ${T}_{a}$, ${T}_{b}$, and $\mathrm{Ttap}$. T_q ${V}_{\mathrm{flow}}$ $\frac{{m}^{3}}{s}$ Volume flow from $a$ to $b$ V_flow

Parameters

 Symbol Default Units Description Modelica ID $\mathrm{medium}$ $\mathrm{fluidMedium}$ - medium $m$ 1 $\mathrm{kg}$ Mass of medium in component m ${T}_{0}$ 293.15 $K$ Initial temperature T0 tapT 1 0..1 Specifies averaging of temperatures at ports $a$ and $b$ tapT ${\mathrm{VF}}_{\mathrm{lam}}$ 0.    1 $\frac{{m}^{3}}{s}$ Laminar volume flow V_flowLaminar ${\mathrm{VF}}_{\mathrm{nom}}$ 1 $\frac{{m}^{3}}{s}$ Nominal volume flow V_flowNominal ${\mathrm{Δp}}_{\mathrm{lam}}$ 0.1 Pa Laminar pressure drop dpLaminar ${\mathrm{Δp}}_{\mathrm{nom}}$ 1 Pa Nominal pressure drop dpNominal $\mathrm{fL}$ 0 - Friction loss factor frictionLoss ${h}_{g}$ 0 $m$ Geodetic height increase from ${\mathrm{flowPort}}_{a}$ to ${\mathrm{flowPort}}_{b}$ h_g

Initial Conditions

 Symbol Units Description Modelica ID ${\mathrm{Δp}}_{0}$ $\mathrm{Pa}$ Initial pressure across device dp ${Q}_{\mathrm{flow0}}$ $W$ Initial heat addition to flow Q_flow ${V}_{\mathrm{flow0}}$ $\frac{{m}^{3}}{s}$ Initial volumetric flow through device V_flow

Constants

 Symbol Value Units Description $g$ 9.8066 $\frac{m}{{s}^{2}}$ Gravitation acceleration