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MapleSim Hydraulics Library from Modelon

Oil  Base model for a hydraulic table-based medium

Base model for a hydraulic table-based medium

Required inputs:

• 

Bulk modulus data as function of pressure and temperature

• 

Viscosity data as function of pressure and temperature.

• 

Density data as function of temperature at atmospheric pressure

Data format

The data could either be added to the model in a table-based format or be specified in an external file. The parameter from_file determines which data option to use.

Bulk modulus data

The bulk modulus data should be a function of pressure (bar absolute) and temperature (degC) and should be specified in bar.

Example:

 

0bar

50bar

100bar

0C

B0,0

B0,50

B0,100

30C

B30,0

B30,50

B30,100

80C

B80,0

B80,50

B80,100

where BTi,pj is the Bulk modulus (in bar) at temperature T in row i and pressure p in column j.

Viscosity data

The viscosity data should be a function of pressure (bar absolute) and temperature (degC). The boolean parameter kinematicViscosityData determines whether the data is provided as kinematic viscosity or as absolute viscosity. If parameter kinematicViscosityData is true, the data should be kinematic viscosity in cSt (centiStokes), otherwise it should be dynamic viscosity in cP (centiPoise).

In order to have better interpolation between data points, the values inserted in the table should be the logarithm of the viscosity. The logarithmic base should be equal to the value given in the  parameter log_base.

Example (for kinematicViscosityData false):

 

0bar

50bar

100bar

0C

logν0,0)

logν0,50)

logν0,100)

30C

logν30,0)

logν30,50)

logν30,100)

80C

logν80,0)

logν80,50)

logν80,100)

where logνTi,pj is the logarithmic value of the kinematic viscosity (in cSt) at temperature T in row i and pressure p in column j.

Density data

The density data should be a function of temperature (degC) at atmospheric pressure.

Example:

0C

ρTi,patm

30C

ρTi,patm

80C

ρTi,patm

where ρTi,patm is the density at temperature T in row i at atmospheric pressure

 

Parameters

Constants

Parameters

General Parameters

Name

Default

Units

Description

Modelica ID

T0

293.15

K

Working temperature

T0

p0

107

Pa

Reference pressure

p0

pvapour

100

Pa

Absolute vapour pressure

p_vapour

patm

105

Pa

Atmospheric pressure: in case change is wanted for high altitudes

p_atm

display labels

false

 

Display labels

display_labels

from file

false

 

Read table data from file

from_file

kinematic viscosity data

true

 

If true, model assumes that viscosity data is kinematic else dynamic

kinematicViscosityData

file name

NoName

 

 

file_name

density table name

NoName

 

Table for density at p = 1 bar abs

density_T_table_name

viscosity table name

NoName

 

Table for viscosity

viscosity_table_name

bulk modulus table name

NoName

 

Table for bulk modulus

bulk_modulus_table_name

density table

 

 

Density tabular data (see above for format), for T at p = 1.0 bar absolute

density_T_table

viscosity table

 

 

Dynamic viscosity tabular data (see above for format and units)

viscosity_table

logbase

10

 

Logarithmic base for tabulated viscosity

log_base

bulk modulus table

 

 

Bulk modulus tabular data (see above for format and units)

bulk_modulus_table

density smoothness

[1]

 

Smoothness of density table interpolation

density_smoothness

viscosity smoothness

[1]

 

Smoothness of viscosity table interpolation

viscosity_smoothness

bulk modulus smoothness

[1]

 

Smoothness of bulk modulus table interpolation

bulk_modulus_smoothness

[1] Modelica.Blocks.Types.Smoothness.ContinuousDerivative

Gas Parameters

Name

Default

Units

Description

Modelica ID

vgas

10-6

1

Gas/(hydraulic medium) volume fraction  at atmospheric pressure and 0 degC

v_gas

av

6.8

 

Bunsen coefficient

av

ρgas0

1.28

kgm3

Gas density at atmospheric pressure and 0 degC

rho_gas_0

νgas

1.5·10-5

m2s

Gas kinematic viscosity

nu_gas

Constant Parameters

Name

Default

Units

Description

Modelica ID

A

0

 

Coefficient for temperature-dependent viscosity

A

B

0

 

Coefficient for temperature-dependent viscosity

B

α

0

 

Coefficient for pressure-dependent viscosity

alpha

Constants

Name

Value

Units

Description

Modelica ID

Tref

273.15

K

Reference temperature for v_air

T_ref

pref

105

Pa

Reference pressure for v_air

p_ref

See Also

Fluids

MapleSim Hydraulics Library from Modelon Overview

 


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