Modelica.Fluid.Dissipation.HeatTransfer.Plate

Information

Even plate

Laminar flow

Calculation of the mean convective heat transfer coefficient kc for a laminar fluid flow over an even surface. See more information .

Turbulent flow

Calculation of the mean convective heat transfer coefficient kc for a hydrodynamically developed turbulent fluid flow over an even surface. See more information.

Overall flow

Calculation of the mean convective heat transfer coefficient kc for an laminar and turbulent fluid flow over an even surface. See more information.

Extends from Modelica.Icons.VariantsPackage (Icon for package containing variants).

Package Content

Name	Description
kc_laminar	Mean heat transfer coefficient of plate | laminar regime
kc_laminar_KC	Mean heat transfer coefficient of plate | laminar regime
kc_laminar_IN_con	Input record for function kc_laminar and kc_laminar_KC
kc_laminar_IN_var	Input record for function kc_laminar and kc_laminar_KC
kc_overall	Mean heat transfer coefficient of even plate | overall regime | constant wall temperature
kc_overall_KC	Mean heat transfer coefficient of even plate | overall regime | constant wall temperature
kc_overall_IN_con	Input record for function kc_overall and function kc_overall_KC
kc_overall_IN_var	Input record for function kc_overall and function kc_overall_KC
kc_turbulent	Mean heat transfer coefficient of even plate | turbulent regime | constant wall temperature
kc_turbulent_KC	Mean heat transfer coefficient of even plate | turbulent regime | constant wall temperature
kc_turbulent_IN_con	Input record for function kc_turbulent and kc_turbulent_KC
kc_turbulent_IN_var	Input record for function kc_turbulent and kc_turbulent_KC

Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_laminar

Information

Calculation of the mean convective heat transfer coefficient kc for a laminar fluid flow over an even surface. Note that additionally a failure status is observed in this function to check if the intended boundary conditions are fulfilled. See more information .

Extends from Modelica.Fluid.Dissipation.Utilities.Icons.HeatTransfer.Plate1_d (Geometry figure 1 for plate).

Inputs

Type	Name	Default	Description
Constant inputs
kc_laminar_IN_con	IN_con		Input record for function kc_laminar
Variable inputs
kc_laminar_IN_var	IN_var		Input record for function kc_laminar

Outputs

Type	Name	Description
Output
CoefficientOfHeatTransfer	kc	Convective heat transfer coefficient [W/(m2.K)]
PrandtlNumber	Pr	Prandl number [1]
ReynoldsNumber	Re	Reynolds number [1]
NusseltNumber	Nu	Nusselt number [1]
Real	failureStatus	0== boundary conditions fulfilled | 1== failure >> check if still meaningfull results

Modelica definition

function kc_laminar 
  "Mean heat transfer coefficient of plate | laminar regime"
  //SOURCE: VDI-Waermeatlas, Aufl. 9, Springer-Verlag, 2002, Section Gd 1
  //Notation of equations according to SOURCE

  //icon
  extends Modelica.Fluid.Dissipation.Utilities.Icons.HeatTransfer.Plate1_d;

  //input records
  input Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_laminar_IN_con
    IN_con "Input record for function kc_laminar";
  input Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_laminar_IN_var
    IN_var "Input record for function kc_laminar";

  //output variables
  output SI.CoefficientOfHeatTransfer kc "Convective heat transfer coefficient";
  output SI.PrandtlNumber Pr "Prandl number";
  output SI.ReynoldsNumber Re "Reynolds number";
  output SI.NusseltNumber Nu "Nusselt number";
  output Real failureStatus 
    "0== boundary conditions fulfilled | 1== failure >> check if still meaningfull results";

protected 
  Real MIN=Modelica.Constants.eps;

  Real laminar=1e5 "Maximum Reynolds number of laminar flow regime";
  Real prandtlMax=2000 "Maximum Prandtl number";
  Real prandtlMin=0.6 "Minimum Prandtl number";

  //failure status
  Real fstatus[2] "Check of expected boundary conditions";

  //Documentation
algorithm 
  Pr := IN_var.eta*IN_var.cp/max(MIN, IN_var.lambda);
  Re := max(1e-3, abs(IN_var.rho*IN_var.velocity*IN_con.L/max(MIN, IN_var.eta)));
  kc := Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_laminar_KC(IN_con, IN_var);
  Nu := kc*IN_con.L/max(MIN, IN_var.lambda);

  //failure status
  fstatus[1] := if Re > laminar then 1 else 0;
  fstatus[2] := if Pr > prandtlMax or Pr < prandtlMin then 1 else 0;

  failureStatus := 0;
  for i in 1:size(fstatus, 1) loop
    if fstatus[i] == 1 then
      failureStatus := 1;
    end if;
  end for;
end kc_laminar;

Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_laminar_KC

Information

Calculation of the mean convective heat transfer coefficient kc for a laminar fluid flow over an even surface. Generally this function is numerically best used for the calculation of the mean convective heat transfer coefficient kc at known fluid velocity. See more information .

Extends from Modelica.Fluid.Dissipation.Utilities.Icons.HeatTransfer.Plate1_d (Geometry figure 1 for plate).

Inputs

Type	Name	Default	Description
Constant inputs
kc_laminar_IN_con	IN_con		Input record for function kc_laminar_KC
Variable inputs
kc_laminar_IN_var	IN_var		Input record for function kc_laminar_KC

Outputs

Type	Name	Description
CoefficientOfHeatTransfer	kc	Output for function kc_laminar_KC [W/(m2.K)]

Modelica definition

function kc_laminar_KC 
  "Mean heat transfer coefficient of plate | laminar regime"
  //SOURCE: VDI-Waermeatlas, Aufl. 9, Springer-Verlag, 2002, Section Gd 1
  //Notation of equations according to SOURCE

  //icon
  extends Modelica.Fluid.Dissipation.Utilities.Icons.HeatTransfer.Plate1_d;

  //input records
  input Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_laminar_IN_con
    IN_con "Input record for function kc_laminar_KC";
  input Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_laminar_IN_var
    IN_var "Input record for function kc_laminar_KC";

  //output variables
  output SI.CoefficientOfHeatTransfer kc "Output for function kc_laminar_KC";

protected 
  Real MIN=Modelica.Constants.eps;

  SI.Length L=max(MIN, IN_con.L);

  SI.SpecificHeatCapacityAtConstantPressure cp=IN_var.cp;
  SI.DynamicViscosity eta=max(MIN, IN_var.eta);
  SI.ThermalConductivity lambda=max(MIN, IN_var.lambda);
  SI.Density rho=IN_var.rho;

  SI.Velocity velocity=abs(IN_var.velocity) "Mean velocity";
  SI.ReynoldsNumber Re=max(1e-3, rho*velocity*L/eta);
  SI.PrandtlNumber Pr=eta*cp/lambda;

  //Documentation
algorithm 
  kc := (lambda/L)*(0.664*abs(Re)^0.5*Pr^(1/3));
end kc_laminar_KC;

Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_laminar_IN_con

Information

Extends from Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_overall_IN_con (Input record for function kc_overall and function kc_overall_KC).

Parameters

Type	Name	Default	Description
Plate
Length	L	1	Length of plate [m]

Modelica definition

record kc_laminar_IN_con 
  "Input record for function kc_laminar and kc_laminar_KC"
  extends Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_overall_IN_con;

end kc_laminar_IN_con;

Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_laminar_IN_var

Information

Extends from Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_overall_IN_var (Input record for function kc_overall and function kc_overall_KC).

Parameters

Type	Name	Default	Description
Fluid properties
SpecificHeatCapacityAtConstantPressure	cp		Specific heat capacity of fluid at constant pressure [J/(kg.K)]
DynamicViscosity	eta		Dynamic viscosity of fluid [Pa.s]
ThermalConductivity	lambda		Thermal conductivity of fluid [W/(m.K)]
Density	rho		Density of fluid [kg/m3]
Input
Velocity	velocity		[m/s]

Modelica definition

record kc_laminar_IN_var 
  "Input record for function kc_laminar and kc_laminar_KC"
  extends Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_overall_IN_var;

end kc_laminar_IN_var;

Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_overall

Information

Calculation of the mean convective heat transfer coefficient kc for a laminar or turbulent fluid flow over an even surface. Note that additionally a failure status is observed in this function to check if the intended boundary conditions are fulfilled. See more information .

Extends from Modelica.Fluid.Dissipation.Utilities.Icons.HeatTransfer.Plate1_d (Geometry figure 1 for plate).

Inputs

Type	Name	Default	Description
Constant inputs
kc_overall_IN_con	IN_con		Input record for function kc_overall
Variable inputs
kc_overall_IN_var	IN_var		Input record for function kc_overall

Outputs

Type	Name	Description
Output
CoefficientOfHeatTransfer	kc	Convective heat transfer coefficient [W/(m2.K)]
PrandtlNumber	Pr	Prandl number [1]
ReynoldsNumber	Re	Reynolds number [1]
NusseltNumber	Nu	Nusselt number [1]
Real	failureStatus	0== boundary conditions fulfilled | 1== failure >> check if still meaningfull results

Modelica definition

function kc_overall 
  "Mean heat transfer coefficient of even plate | overall regime | constant wall temperature"
  //SOURCE: VDI-Waermeatlas, Aufl. 9, Springer-Verlag, 2002, Section Gd 1
  //Notation of equations according to SOURCE

  //icon
  extends Modelica.Fluid.Dissipation.Utilities.Icons.HeatTransfer.Plate1_d;

  //input records
  input Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_overall_IN_con
    IN_con "Input record for function kc_overall";
  input Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_overall_IN_var
    IN_var "Input record for function kc_overall";
  //output variables
  output SI.CoefficientOfHeatTransfer kc "Convective heat transfer coefficient";
  output SI.PrandtlNumber Pr "Prandl number";
  output SI.ReynoldsNumber Re "Reynolds number";
  output SI.NusseltNumber Nu "Nusselt number";
  output Real failureStatus 
    "0== boundary conditions fulfilled | 1== failure >> check if still meaningfull results";

protected 
  Real MIN=Modelica.Constants.eps;

  Real prandtlMax=2000 "Maximum Prandtl number";
  Real prandtlMin=0.6 "Minimum Prandtl number";
  Real reynoldsMax=1e7 "Maximum Reynolds number";
  Real reynoldsMin=1e1 "Minimum Reynolds number";

  //failure status
  Real fstatus[2] "Check of expected boundary conditions";

  //Documentation
algorithm 
  Pr := IN_var.eta*IN_var.cp/max(MIN, IN_var.lambda);
  Re := max(1e-3, abs(IN_var.rho*IN_var.velocity*IN_con.L/max(MIN, IN_var.eta)));
  kc := Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_overall_KC(IN_con, IN_var);
  Nu := kc*IN_con.L/max(MIN, IN_var.lambda);

  //failure status
  fstatus[1] := if Re > reynoldsMax or Re < reynoldsMin then 1 else 0;
  fstatus[2] := if Pr > prandtlMax or Pr < prandtlMin then 1 else 0;

  failureStatus := 0;
  for i in 1:size(fstatus, 1) loop
    if fstatus[i] == 1 then
      failureStatus := 1;
    end if;
  end for;
end kc_overall;

Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_overall_KC

Information

Calculation of the mean convective heat transfer coefficient kc for a laminar or turbulent fluid flow over an even surface. Generally this function is numerically best used for the calculation of the mean convective heat transfer coefficient kc at known fluid velocity. See more information .

Extends from Modelica.Fluid.Dissipation.Utilities.Icons.HeatTransfer.Plate1_d (Geometry figure 1 for plate).

Inputs

Type	Name	Default	Description
Constant inputs
kc_overall_IN_con	IN_con		Input record for function kc_overall_KC
Variable inputs
kc_overall_IN_var	IN_var		Input record for function kc_overall_KC

Outputs

Type	Name	Description
CoefficientOfHeatTransfer	kc	Output for function kc_overall_KC [W/(m2.K)]

Modelica definition

function kc_overall_KC 
  "Mean heat transfer coefficient of even plate | overall regime | constant wall temperature"
  //SOURCE: VDI-Waermeatlas, Aufl. 9, Springer-Verlag, 2002, Section Gd 1
  //Notation of equations according to SOURCE

  //icon
  extends Modelica.Fluid.Dissipation.Utilities.Icons.HeatTransfer.Plate1_d;

  //input records
  input Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_overall_IN_con
    IN_con "Input record for function kc_overall_KC";
  input Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_overall_IN_var
    IN_var "Input record for function kc_overall_KC";

  //output variables
  output SI.CoefficientOfHeatTransfer kc "Output for function kc_overall_KC";

protected 
  SI.CoefficientOfHeatTransfer kc_lam=
      Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_laminar_KC(     IN_con, IN_var);
  SI.CoefficientOfHeatTransfer kc_turb=
      Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_turbulent_KC(     IN_con, IN_var);

  //Documentation
algorithm 
  kc := sqrt((kc_lam)^2 + (kc_turb)^2);
end kc_overall_KC;

Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_overall_IN_con

Information

Extends from Modelica.Fluid.Dissipation.Utilities.Records.HeatTransfer.Plate (Input for plate).

Parameters

Type	Name	Default	Description
Plate
Length	L	1	Length of plate [m]

Modelica definition

record kc_overall_IN_con 
  "Input record for function kc_overall and function kc_overall_KC"
  //plate variables
  extends Modelica.Fluid.Dissipation.Utilities.Records.HeatTransfer.Plate;

end kc_overall_IN_con;

Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_overall_IN_var

Information

Extends from Modelica.Fluid.Dissipation.Utilities.Records.General.FluidProperties (Base record for fluid properties).

Parameters

Type	Name	Default	Description
Fluid properties
SpecificHeatCapacityAtConstantPressure	cp		Specific heat capacity of fluid at constant pressure [J/(kg.K)]
DynamicViscosity	eta		Dynamic viscosity of fluid [Pa.s]
ThermalConductivity	lambda		Thermal conductivity of fluid [W/(m.K)]
Density	rho		Density of fluid [kg/m3]
Input
Velocity	velocity		[m/s]

Modelica definition

record kc_overall_IN_var 
  "Input record for function kc_overall and function kc_overall_KC"
  //fluid property variables
  extends Modelica.Fluid.Dissipation.Utilities.Records.General.FluidProperties;

  //input variable (fluid flow velocity)
  Modelica.SIunits.Velocity velocity;

end kc_overall_IN_var;

Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_turbulent

Information

Calculation of the mean convective heat transfer coefficient kc for a hydrodynamically developed turbulent fluid flow over an even surface. Note that additionally a failure status is observed in this function to check if the intended boundary conditions are fulfilled. See more information .

Extends from Modelica.Fluid.Dissipation.Utilities.Icons.HeatTransfer.Plate1_d (Geometry figure 1 for plate).

Inputs

Type	Name	Default	Description
Constant inputs
kc_turbulent_IN_con	IN_con		Input record for function kc_turbulent
Variable inputs
kc_turbulent_IN_var	IN_var		Input record for function kc_turbulent

Outputs

Type	Name	Description
Output
CoefficientOfHeatTransfer	kc	Convective heat transfer coefficient [W/(m2.K)]
PrandtlNumber	Pr	Prandl number [1]
ReynoldsNumber	Re	Reynolds number [1]
NusseltNumber	Nu	Nusselt number [1]
Real	failureStatus	0== boundary conditions fulfilled | 1== failure >> check if still meaningfull results

Modelica definition

function kc_turbulent 
  "Mean heat transfer coefficient of even plate | turbulent regime | constant wall temperature"
  //SOURCE: VDI-Waermeatlas, Aufl. 9, Springer-Verlag, 2002, Section Gd 1
  //Notation of equations according to SOURCE

  //icon
  extends Modelica.Fluid.Dissipation.Utilities.Icons.HeatTransfer.Plate1_d;

  //input records
  input Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_turbulent_IN_con
    IN_con "Input record for function kc_turbulent";
  input Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_turbulent_IN_var
    IN_var "Input record for function kc_turbulent";

  //output variables
  output SI.CoefficientOfHeatTransfer kc "Convective heat transfer coefficient";
  output SI.PrandtlNumber Pr "Prandl number";
  output SI.ReynoldsNumber Re "Reynolds number";
  output SI.NusseltNumber Nu "Nusselt number";
  output Real failureStatus 
    "0== boundary conditions fulfilled | 1== failure >> check if still meaningfull results";

protected 
  Real MIN=Modelica.Constants.eps;

  Real prandtlMax=2000 "Maximum Prandtl number";
  Real prandtlMin=0.6 "Minimum Prandtl number";
  Real reynoldsMax=1e7 "Maximum Reynolds number";
  Real reynoldsMin=5e5 "Minimum Reynolds number";

  //failure status
  Real fstatus[2] "Check of expected boundary conditions";

  //Documentation
algorithm 
  Pr := abs(IN_var.eta*IN_var.cp/max(MIN, IN_var.lambda));
  Re := max(1e-3, abs(IN_var.rho*IN_var.velocity*IN_con.L/max(MIN, IN_var.eta)));
  kc := Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_turbulent_KC(IN_con, IN_var);
  Nu := kc*IN_con.L/max(MIN, IN_var.lambda);

  //failure status
  fstatus[1] := if Re > reynoldsMax or Re < reynoldsMin then 1 else 0;
  fstatus[2] := if Pr > prandtlMax or Pr < prandtlMin then 1 else 0;

  failureStatus := 0;
  for i in 1:size(fstatus, 1) loop
    if fstatus[i] == 1 then
      failureStatus := 1;
    end if;
  end for;
end kc_turbulent;

Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_turbulent_KC

Information

Calculation of the mean convective heat transfer coefficient kc for a hydrodynamically developed turbulent fluid flow over an even surface. Generally this function is numerically best used for the calculation of the mean convective heat transfer coefficient kc at known fluid velocity. See more information .

Extends from Modelica.Fluid.Dissipation.Utilities.Icons.HeatTransfer.Plate1_d (Geometry figure 1 for plate).

Inputs

Type	Name	Default	Description
Constant inputs
kc_turbulent_IN_con	IN_con		Input record for function kc_turbulent_KC
Variable inputs
kc_turbulent_IN_var	IN_var		Input record for function kc_turbulent_KC

Outputs

Type	Name	Description
CoefficientOfHeatTransfer	kc	Output for function kc_turbulent_KC [W/(m2.K)]

Modelica definition

function kc_turbulent_KC 
  "Mean heat transfer coefficient of even plate | turbulent regime | constant wall temperature"
  //SOURCE: VDI-Waermeatlas, Aufl. 9, Springer-Verlag, 2002, Section Gd 1
  //Notation of equations according to SOURCE

  //icon
  extends Modelica.Fluid.Dissipation.Utilities.Icons.HeatTransfer.Plate1_d;

  //input records
  input Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_turbulent_IN_con
    IN_con "Input record for function kc_turbulent_KC";
  input Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_turbulent_IN_var
    IN_var "Input record for function kc_turbulent_KC";

  //output variables
  output SI.CoefficientOfHeatTransfer kc "Output for function kc_turbulent_KC";

protected 
  Real MIN=Modelica.Constants.eps;

  SI.Length L=max(MIN, IN_con.L);

  SI.SpecificHeatCapacityAtConstantPressure cp=IN_var.cp;
  SI.DynamicViscosity eta=IN_var.eta;
  SI.ThermalConductivity lambda=max(MIN, IN_var.lambda);
  SI.Density rho=IN_var.rho;

  SI.Velocity velocity=abs(IN_var.velocity) "Mean velocity";
  SI.ReynoldsNumber Re=max(1e-3, abs(rho*velocity*L/eta));
  SI.PrandtlNumber Pr=abs(eta*cp/lambda);

  //Documentation
algorithm 
  kc := abs((lambda/L))*(0.037*Re^0.8*Pr)/(1 + 2.443/(max(Re^0.1, 1e-6))*(Pr^(2
    /3) - 1));
end kc_turbulent_KC;

Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_turbulent_IN_con

Information

Extends from Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_overall_IN_con (Input record for function kc_overall and function kc_overall_KC).

Parameters

Type	Name	Default	Description
Plate
Length	L	1	Length of plate [m]

Modelica definition

record kc_turbulent_IN_con 
  "Input record for function kc_turbulent and kc_turbulent_KC"
  extends Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_overall_IN_con;

end kc_turbulent_IN_con;

Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_turbulent_IN_var

Information

Extends from Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_overall_IN_var (Input record for function kc_overall and function kc_overall_KC).

Parameters

Type	Name	Default	Description
Fluid properties
SpecificHeatCapacityAtConstantPressure	cp		Specific heat capacity of fluid at constant pressure [J/(kg.K)]
DynamicViscosity	eta		Dynamic viscosity of fluid [Pa.s]
ThermalConductivity	lambda		Thermal conductivity of fluid [W/(m.K)]
Density	rho		Density of fluid [kg/m3]
Input
Velocity	velocity		[m/s]

Modelica definition

record kc_turbulent_IN_var 
  "Input record for function kc_turbulent and kc_turbulent_KC"
  extends Modelica.Fluid.Dissipation.HeatTransfer.Plate.kc_overall_IN_var;

end kc_turbulent_IN_var;