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Air Settings

Simulation settings for Air

 

Description

Parameters

See Also

Description

By placing the Air Settings component, you can define the simulation settings for Air. All components in the Air component library have an Air simulation settings parameter. You need to specify which Air Settings component is assigned with the parameter by name.

For example, if you place this Air Settings in the model workspace, the name AirSettings1 is assigned to it as default. Then, after placing Air.Basic.AirVolume, you need to check the value of Air simulation settings. As default, the value is AirSettings1, so the simulation settings is defined by AirSettings1. To change the associated Air Setting component, specify it by name.

This framework allows you to define and change the simulation settings for multiple components simultaneously.

 

Fidelity of properties

Two types of fidelity can be used in the current version of the Heat Transfer Library. There is a trade-off between the capability of the physical phenomena expression and the simulation cost. Thus, you need to specify it with your purpose of simulation.

 

• 

Constant

If you use this mode, the properties is assigned with the following constants.

 

Specific heat capacity at the constant pressure c__p JkgK :

c__p=1005.45

Molar mass MM kgmol :

MM=0.028965116

Gas constant R__gas JkgK :

R__gas=RMM

(*) R is Universal gas constant, and the value is 8.3144598JmolK

Specific heat capacity at the constant volume c__v JkgK :

c__v=c__pR__gas

Dynamic viscosity μ Pa s :

μ=0.0000182

Thermal conductivity k WmK :

k=0.026

And, the specific enthalpy hflow is calculated with the following equation, and which is called as Function__hflow :

hflow=c__pT+hflow__off

hflow__off=124648.4919

(*) The offset value of specific enthalpy is defined to be the same value as the other types of property at 273.15[K] and 101325[Pa]

 

• 

Ideal Gas (NASA Polynomial)

If you use this mode, the properties is assigned with the following equations and constants.

 

Specific heat capacity at the constant pressure c__p JkgK,and which is called as Function__cp :

c__p&equals;R__gasalow__1T2&plus;alow__2T&plus;alow__3&plus;alow__4T&plus;alow__5T2&plus;alow__6T3&plus;alow__7T4T<1000ahigh__1T2&plus;ahigh__2T&plus;ahigh__3&plus;ahigh__4T&plus;ahigh__5T2&plus;ahigh__6T3&plus;ahigh__7T4others

(*) alow__1..alow__7 and ahigh__1..ahigh__7 are NASA Glenn coefficients[1]

Molar mass MM kgmol :

MM&equals;0.0289651159

Gas constant R__gas JkgK :

R__gas&equals;RMM

(*) R is Universal gas constant, and the value is 8.3144598JmolK

Specific heat capacity at the constant volume c__v JkgK :

c__v&equals;c__pR__gas

Dynamic viscosity &mu; Pa s (Fitted equation), and which is called as Function__vis :

&mu;&equals;8.58264524210−60.0007885132499T+4.616415634 10−8T1.51492828310−11T2+2.76614463710−15T3

Thermal conductivity k WmK (Fitted equation) as Function__k :

k&equals;0.0049194971290.568804205481540T+0.00008519526051T2.65807310510−8T2+4.65356125710−12T3

And, the specific enthalpy hflow Jkg is calculated with the following equation, and which is called as Function__hflow :

hflow&equals;R__gas&lcub;blow__1alow__1T&plus;alow__2logT&plus;alow__3T&plus;12alow__4T2&plus;13alow__5T3&plus;14alow__6T4&plus;15alow__7T5T<1000bhigh__1ahigh__1T&plus;ahigh__2logT&plus;ahigh__3T&plus;12high__4T2&plus;13ahigh__5T3&plus;14ahigh__6T4&plus;15ahigh__7T5others&plus;hflow__off

(*) alow__1..alow__7 and ahigh__1..ahigh__7 and blow__1 and bhigh__1 are NASA Glenn coefficients[1]

hflow__off&equals;428725.6773

(*) The offset value of specific enthalpy is defined to be the same value as the other types of property at 273.15[K] and 101325[Pa]

 

Dynamics of mass

You can simulate model with Air components in Static mass flow mode and Dynamic mass flow mode. There is a trade-off between the capability of the physical phenomena expression and the simulation cost. Thus, you need to specify it with your purpose of simulation.

 

The following model is one of the simplest Air simulation model. At both sides of edge, there are Air.Boundaries.AirBoundary components to define the boundary conditions. And, Air.Basic.AirVolume is placed at the center of the model, which is for Mass and Energy conservation calculation. The last pieces are Air.Basic.AirFlow which is placed at between AirBoundary and AirVolume. Pressure difference and Mass flow rate will be calculated in them.

With this model, the behavior of two mode is explained in below.

 

• 

Static mode

If you select Static mode, Mass flow rate will be defined with

mflow1&equals;mflow0

Then, the pressure difference is calculated from

dp&equals;Functionmflow1

(*) In this library, you can select several functions, like Linear type and Darcy-Weisbach equation.

Finally, p1 is obtained from

p1&equals;p0dp

Thus, Mass flow rate is defined by the boundary condition. And by using Air.Basic.AirValve and FAN, you can control the value of it.

 

• 

Dynamic mode

If you select Dynamic mode, the Mass flow rate condition mflow0 is not used. In Air.Basic.AirVolume, Pressure will be calculated with Mass

and Energy conservation law. So, the pressure difference is obtained from

dp&equals;p0p1

Mass flow rate is calculated from

mflow1&equals;Functiondp

(*) In this library, you can select several functions, like Linear type and Darcy-Weisbach equation.

In this mode, the Mass flow rate is dynamically changed based on the pressure balance calculation.

 

References

[1] : McBride B.J., Zehe M.J., and Gordon S. (2002): NASA Glenn Coefficients for Calculating Thermodynamic Properties of Individual Species. NASA report TP-2002-211556

 

Parameters

Symbol

Default

Units

Description

Modelica ID

Fidelity ofproperties

Ideal GasNASA Polynomial

Select Fidelity of properties

  Constant :

      Use constants for each properties

  Ideal Gas (NASA Polynomial) :

      Properties are calculated with Temperature-dependent
      functions for Ideal gases, which are called as NASA
      Polynomials

Fidelity

Dynamics ofmass

Dynamic

Select Dynamics of Mass flow rate

  Static :

     Mass flow rate is static. Pressure drop are calculated at

     at each elements of pressure losses

  Dynamic :

     Mass flow rate is calculated from pressure difference at

     each elements of pressure losses

Mass Dynamics

See Also

Heat Transfer Library Overview

Air Overview