Engee documentation

Flow Resistance (MA)

Generalized resistance in the humid air network.

blockType: AcausalFoundation.MoistAir.Elements.FlowResistance

Path in the library:

/Physical Modeling/Fundamental/Moist Air/Elements/Flow Resistance (MA)

Description

Block Flow Resistance (MA) simulates the total pressure drop in the humid air network. The pressure drop is proportional to the square of the mass flow and inversely proportional to the density of the humid air. The proportionality coefficient is determined based on the nominal operating condition specified in the unit parameters.

This block is used when only the pressure drop depending on the mass flow rate is known about the component and there is no detailed information about the geometry.

Conservation of mass:







where

  • — mass consumption;

  • Lower indexes and — ports A and B respectively;

  • Lower indexes , and They indicate the properties of water vapor, gas impurities, and water droplets, respectively.

Energy balance:

where and — energy flow through ports A and B respectively.

If the parameter value is Nominal density, , is greater than zero, then the block calculates the pressure drop as:

where

  • and — pressure at ports A and B, respectively;

  • — mass flow rate for laminar-turbulent transition;

  • — inlet pressure ( and depending on the direction of the current);

  • — inlet temperature ( and depending on the direction of the current);

  • — proportionality coefficient calculated on the basis of nominal values:

If the parameter value is Nominal density, , is equal to zero, then the block calculates the pressure drop as:

where — proportionality coefficient:

The flow resistance is considered adiabatic, so the specific total enthalpy of the mixture is equal to:

Assumptions and limitations

  • The resistance is adiabatic. The unit does not exchange heat with the environment.

  • It is assumed that the pressure drop is proportional to the square of the mass flow rate of the mixture and inversely proportional to the density of the mixture.

Ports

Conserving

# B — input or output
moist air

Details

Wet air port, corresponds to the input or output of the generalised resistance. This block has no defined directionality.

Program usage name

port_b

# A — input or output
moist air

Details

Wet air port, corresponds to the input or output of the generalised resistance. This block has no defined directionality.

Program usage name

port_a

Parameters

Main

# Cross-sectional area at A and B — flow area at the ports of generalised resistance
m^2 | um^2 | mm^2 | cm^2 | km^2 | in^2 | ft^2 | yd^2 | mi^2 | ha | ac

Details

Flow area at the ports of generalised resistance. It is assumed that the ports are identical in size.

Units

m^2 | um^2 | mm^2 | cm^2 | km^2 | in^2 | ft^2 | yd^2 | mi^2 | ha | ac

Default value

0.01 m^2

Program usage name

port_area

Evaluatable

Yes

# Nominal pressure drop — pressure drop at known operating conditions
Pa | uPa | hPa | kPa | MPa | GPa | kgf/m^2 | kgf/cm^2 | kgf/mm^2 | mbar | bar | kbar | atm | ksi | psi | mmHg | inHg

Details

Pressure drop from inlet to outlet at known operating mode. The unit uses nominal parameters to calculate the proportionality factor between pressure drop and mass flow rate.

Units

Pa | uPa | hPa | kPa | MPa | GPa | kgf/m^2 | kgf/cm^2 | kgf/mm^2 | mbar | bar | kbar | atm | ksi | psi | mmHg | inHg

Default value

0.001 MPa

Program usage name

delta_p_nominal

Evaluatable

Yes

# Fraction of nominal mass flow rate for laminar flow transition — the ratio of the threshold flow rate to the nominal mass flow rate

Details

The ratio of the threshold mass flow rate to the nominal mass flow rate. The unit uses this parameter to calculate the mass flow threshold and to set the linearisation limits for the differential pressure.

Default value

0.001

Program usage name

laminar_fraction

Evaluatable

Yes

# Nominal density — density at known operating conditions
kg/m^3 | g/m^3 | g/cm^3 | g/mm^3 | lbm/ft^3 | lbm/gal | lbm/in^3

Details

Mass density within the generalised resistance at known operating mode. The unit uses nominal parameters to calculate the coefficient of proportionality between pressure drop and mass flow rate. Set this parameter to zero to ignore the dependence of pressure drop on wet air density.

Units

kg/m^3 | g/m^3 | g/cm^3 | g/mm^3 | lbm/ft^3 | lbm/gal | lbm/in^3

Default value

0 kg/m^3

Program usage name

rho_nominal

Evaluatable

Yes

# Nominal mass flow rate — mass flow rate at known operating mode
kg/s | kg/hr | kg/min | g/hr | g/min | g/s | t/hr | lbm/hr | lbm/min | lbm/s

Details

Mass flow rate from inlet to outlet at known operating mode. The unit uses nominal parameters to calculate the proportionality factor between pressure drop and mass flow rate.

Units

kg/s | kg/hr | kg/min | g/hr | g/min | g/s | t/hr | lbm/hr | lbm/min | lbm/s

Default value

0.1 kg/s

Program usage name

mdot_nominal

Evaluatable

Yes