Modelica.Fluid.Fittings.BaseClasses.GenericResistances.VolumeFlowRate

Pressure loss functions for generic resistances parameterized with the volume flow rate

Information


This package contains utility functions for the VolumeFlowRate fitting component.

Extends from Modelica.Icons.Package (Icon for standard packages).

Package Content

NameDescription
Modelica.Fluid.Fittings.BaseClasses.GenericResistances.VolumeFlowRate.massFlowRate massFlowRate Return mass flow rate m_flow as function of pressure loss dp for a curved bend
Modelica.Fluid.Fittings.BaseClasses.GenericResistances.VolumeFlowRate.pressureLoss pressureLoss Return pressure loss dp as function of mass flow rate m_flow for a curved bend


Modelica.Fluid.Fittings.BaseClasses.GenericResistances.VolumeFlowRate.massFlowRate

Return mass flow rate m_flow as function of pressure loss dp for a curved bend

Information


This function returns the mass flow rate m_flow as function of pressure loss dp for an edged bend. The details of the function are described here.

The bend characteristic is valid for constant density and constant dynamic viscosity. It can be approximately also used for compressible media. This is performed by providing the upstream density and upstream dynamic viscosity. In order to be able to regularize density and dynamic viscosity around zero mass flow rate, the two quantities have to be given if fluid flows from port_a to port_b (d_a, eta_a) and if fluid flows from port_b to port_a (d_b, eta_b).

Inputs

TypeNameDefaultDescription
Pressuredp Pressure loss [Pa]
Reala Coefficient for quadratic term (dp = a*V_flow^2 + b*V_flow) [(Pa.s2)/m6]
Realb Coefficient for linear term (dp = a*V_flow^2 + b*V_flow) [(Pa.s)/m3]
Densityd_a Density at port_a when fluid is flowing from port_a to port_b [kg/m3]
Densityd_b Density at port_b when fluid is flowing from port_b to port_a [kg/m3]
AbsolutePressuredp_small Small pressure drop used for regularization if m_flow=f(...,dp_small,..,dp) [Pa]
MassFlowRatem_flow_small Small mass flow rate used for regularization if dp=f_inv(...,m_flow_small,m_flow) [kg/s]

Outputs

TypeNameDescription
MassFlowRatem_flowMass flow rate (= port_a.m_flow) [kg/s]

Modelica definition

function massFlowRate 
  "Return mass flow rate m_flow as function of pressure loss dp for a curved bend"
    import SI = Modelica.SIunits;
  input SI.Pressure dp "Pressure loss";
  input Real a(unit="(Pa.s2)/m6") 
    "Coefficient for quadratic term (dp = a*V_flow^2 + b*V_flow)";
  input Real b(unit="(Pa.s)/m3") 
    "Coefficient for linear term (dp = a*V_flow^2 + b*V_flow)";
  input SI.Density d_a 
    "Density at port_a when fluid is flowing from port_a to port_b";
  input SI.Density d_b 
    "Density at port_b when fluid is flowing from port_b to port_a";
  input SI.AbsolutePressure dp_small 
    "Small pressure drop used for regularization if m_flow=f(...,dp_small,..,dp)";
  input SI.MassFlowRate m_flow_small 
    "Small mass flow rate used for regularization if dp=f_inv(...,m_flow_small,m_flow)";
  output SI.MassFlowRate m_flow "Mass flow rate (= port_a.m_flow)";
algorithm 
   m_flow := Modelica.Fluid.Dissipation.PressureLoss.General.dp_volumeFlowRate_MFLOW(
               Modelica.Fluid.Dissipation.PressureLoss.General.dp_volumeFlowRate_IN_con(
                   a=a,
                   b=b,
                   dp_min=dp_small),
               Modelica.Fluid.Dissipation.PressureLoss.General.dp_volumeFlowRate_IN_var(
                   rho=Modelica.Fluid.Utilities.regStep(dp, d_a, d_b, dp_small)),
               dp);

end massFlowRate;

Modelica.Fluid.Fittings.BaseClasses.GenericResistances.VolumeFlowRate.pressureLoss

Return pressure loss dp as function of mass flow rate m_flow for a curved bend

Information


This function returns the pressure loss dp as function of mass flow rate m_flow for an edged bend. The details of the function are described here.

The bend characteristic is valid for constant density and constant dynamic viscosity. It can be approximately also used for compressible media. This is performed by providing the upstream density and upstream dynamic viscosity. In order to be able to regularize density and dynamic viscosity around zero mass flow rate, the two quantities have to be given if fluid flows from port_a to port_b (d_a, eta_a) and if fluid flows from port_b to port_a (d_b, eta_b).

Inputs

TypeNameDefaultDescription
MassFlowRatem_flow Mass flow rate (= port_a.m_flow) [kg/s]
Reala Coefficient for quadratic term (dp = a*V_flow^2 + b*V_flow) [(Pa.s2)/m6]
Realb Coefficient for linear term (dp = a*V_flow^2 + b*V_flow) [(Pa.s)/m3]
Densityd_a Density at port_a when fluid is flowing from port_a to port_b [kg/m3]
Densityd_b Density at port_b when fluid is flowing from port_b to port_a [kg/m3]
AbsolutePressuredp_small Small pressure drop used for regularization if m_flow=f(...,dp_small,..,dp) [Pa]
MassFlowRatem_flow_small Small mass flow rate used for regularization if dp=f_inv(...,m_flow_small,m_flow) [kg/s]

Outputs

TypeNameDescription
PressuredpPressure loss [Pa]

Modelica definition

function pressureLoss 
  "Return pressure loss dp as function of mass flow rate m_flow for a curved bend"

    import SI = Modelica.SIunits;
  input SI.MassFlowRate m_flow "Mass flow rate (= port_a.m_flow)";
  input Real a(unit="(Pa.s2)/m6") 
    "Coefficient for quadratic term (dp = a*V_flow^2 + b*V_flow)";
  input Real b(unit="(Pa.s)/m3") 
    "Coefficient for linear term (dp = a*V_flow^2 + b*V_flow)";
  input SI.Density d_a 
    "Density at port_a when fluid is flowing from port_a to port_b";
  input SI.Density d_b 
    "Density at port_b when fluid is flowing from port_b to port_a";
  input SI.AbsolutePressure dp_small 
    "Small pressure drop used for regularization if m_flow=f(...,dp_small,..,dp)";
  input SI.MassFlowRate m_flow_small 
    "Small mass flow rate used for regularization if dp=f_inv(...,m_flow_small,m_flow)";
  output SI.Pressure dp "Pressure loss";
algorithm 
   dp := Modelica.Fluid.Dissipation.PressureLoss.General.dp_volumeFlowRate_DP(
               Modelica.Fluid.Dissipation.PressureLoss.General.dp_volumeFlowRate_IN_con(
                   a=a,
                   b=b,
                   dp_min=dp_small),
               Modelica.Fluid.Dissipation.PressureLoss.General.dp_volumeFlowRate_IN_var(
                   rho=Modelica.Fluid.Utilities.regStep(m_flow, d_a, d_b, m_flow_small)),
               m_flow);

end pressureLoss;

Automatically generated Fri Nov 12 16:31:18 2010.