Ideal Pump

Model of an ideal pump

Description

The Ideal Pump component is a two-port thermal-fluid component that models an ideal (lossless) pump driven by a rotational flange. The temperature and enthalpy of the medium are not changed. The equations are

 ${Q}_{\mathrm{flow}}=0$

Connections

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

Variables

 Symbol Units Description Modelica ID $\mathrm{Δp}$ $\mathrm{Pa}$ Pressure drop from $a$ to $b$ dp ${Q}_{\mathrm{flow}}$ $W$ Heat exchange with ambient Q_flow ${V}_{\mathrm{flow}}$ $\frac{{m}^{3}}{s}$ Volume flow from $a$ to $b$ V_flow $\mathrm{τ}$ $N\cdot m$ Torque at ${\mathrm{flange}}_{a}$ flange_a.tau $\mathrm{ω}$ $\frac{\mathrm{rad}}{\mathrm{sec}}$ Rotational velocity of ${\mathrm{flange}}_{a}$ der(flange_a.phi)

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 ${\mathrm{ω}}_{\mathrm{nom}}$ 1 $\frac{\mathrm{rad}}{\mathrm{sec}}$ Nominal rotational speed of ${\mathrm{flange}}_{a}$ wNominal ${\mathrm{Δp}}_{\mathrm{max}}$ 2 Pa Maximum pressure increase (at ${V}_{\mathrm{flow}}=0)$ dp0 ${V}_{\mathrm{flow}\left(\mathrm{max}\right)}$ 2 $\frac{{m}^{3}}{s}$ Maximum volume flow rate (at $p=0$) V_flow0

Initial Conditions

 Symbol Units Description Modelica ID ${\mathrm{Δp}}_{0}$ $\mathrm{Pa}$ Initial pressure across device dp ${V}_{\mathrm{flow0}}$ $\frac{{m}^{3}}{s}$ Initial volumetric flow through device V_flow ${\mathrm{ω}}_{0}$ $\frac{\mathrm{rad}}{\mathrm{sec}}$ Initial rotational velocity of ${\mathrm{flange}}_{a}$ der(flange_a.phi)