Thermal Liquid Properties (TL)

Physical properties of thermal liquids connected to a network.

thermal liquid properties (tl)

Description

The Thermal Liquid Properties (TL) block specifies the physical fluid properties for a heat transfer fluid network. The properties do not apply to a single component, but to all components in the network. Each thermal fluid network in the model must be connected to exactly one instance of this block.

Properties set in the Thermal Liquid Properties (TL) block:

Thermodynamic properties - density, specific internal energy and specific heat.
Derived properties - modulus of bulk elasticity and coefficient of thermal expansion.
Transport properties - kinematic viscosity and thermal conductivity.

Each fluid property is tabulated as a function of temperature and pressure, or temperature only. Use the option to ignore pressure dependence if the pressure dependence is negligible or the pressure in the model will be almost constant, or if only the temperature dependence of the fluid properties is known.

Parametrization

The Thermal Liquid Properties (TL) block contains several parameterizations for the independent variables of state, density and specific internal energy. The parameterization defines the data to be obtained and the state variables on which the liquid properties depend. The Table dimensions setting affects what parameters you see on the other tabs.

Pressure and Temperature

Pressure and temperature are the main variables for a thermal liquid. They are therefore a natural choice of independent state variables against which all other fluid properties are set.

The Thermal Liquid Properties (TL) block contains two parameterization options based on these state variables. These are available via the Table dimensions parameters:

2D tables based on temperature and pressure - specifying tabular data based on temperature and pressure. The area of allowable temperatures and pressures is specified as minimum and maximum values (Figure I) or as a tolerance matrix (Figure II).

Types of validity areas:

thermal liquid properties (tl) 1

thermal liquid properties (tl) 2

1D vectors based on temperature - specifying tabular data depending on temperature and ignoring any pressure dependencies. The range of allowable temperatures and pressures is specified in terms of minimum and maximum values only. The bulk modulus of elasticity provides pressure dependence for density and any fluid properties calculated on the basis of density.

Density, bulk modulus and coefficient of thermal expansion

The Thermal Liquid Properties (TL) block provides parameters for density and two related parameters, isothermal bulk modulus and isobaric coefficient of thermal expansion.

Parameters include:

Density, bulk modulus, and thermal expansion coefficient tables - specifying tabular data for density, bulk modulus, and thermal expansion coefficient. The data should be specified as a function of temperature and pressure. The Table dimensions parameters should be set to `2D tables based on temperature and pressure'.
Density table/vector - specifying table data of density as a function of temperature (and, in two-dimensional case, pressure). The block calculates the isothermal bulk modulus and isobaric coefficient of thermal expansion from the tabulated data using the finite difference method. The isothermal bulk modulus is defined as:

where

- density;
- temperature;
- pressure.

Isobaric coefficient of thermal expansion is defined as:

Reference Density - specifying the density, bulk modulus and coefficient of thermal expansion at a known temperature (and, in the two-dimensional case, pressure). To calculate the density at other temperatures and pressures, the block uses an analytical expression. The calculation is based on the expression:

where

- subscript, denotes the reference value (set in the block dialogue box).

Specific internal energy

As with density, the Thermal Liquid Properties (TL) block provides three types of parameterization for specific internal energy and specific heat.

Parameters include:

Specific internal energy and specific heat tables - specifying tabular data for specific internal energy and specific heat. The data should be specified as a function of temperature and pressure. The Table dimensions parameters should be set to `2D tables based on temperature and pressure'.
Specific internal energy table/vector - specifying tabular data for specific internal energy as a function of temperature (and, in the 2D case, pressure). The block calculates the specific heat coefficient from the specific internal energy data. The calculation is based on the expression:

Specific heat coefficient table/vector - specifying tabular data for specific heat capacity as a function of temperature (and, in the two-dimensional case, pressure). The block calculates specific internal energy from specific heat capacity data. The calculation is based on the expression:

where

- subscript, denotes the reference value (set in the block dialogue box). The value is set to zero because it is the difference in specific internal energy, not its value, that is important for modelling. The value may differ from that given in other sources, such as the REFPROP fluid database.

Specific heat at constant volume

The specific heat at constant volume, , must be greater than zero. The block derives this value from other fluid properties:

This equation will help you adjust the fluid properties to avoid negative values in your calculations.

Ports

Non-directional

A - connection port
thermal liquid

The port connects the unit to a thermal liquid network, giving it thermal liquid characteristics.

Parameters

Temperature and Pressure

Table dimensions - dimensions of fluid property tables
2D tables based on temperature and pressure (T,p) (by default) | 1D vectors based on temperature (T)

The dimensionality of the fluid property tables. This parameter determines whether the fluid properties are variable or constant as a function of pressure. Select 1D vectors based on temperature (T) to ignore the pressure dependence of fluid properties.

Temperature vector is a temperature vector for specifying thermal liquid properties
[273.16 : 10 : 373.16…] K (by default) | `M-dimensional vector-column with units of temperature'.

A vector of thermal liquid temperature values to be used to search the table for other liquid properties.

Pressure vector - vector of pressure values for specifying thermal liquid characteristics
[0.01, 0.1, 5 : 5 : 50…] MPa (by default) | N-dimensional vector of lines with pressure units

A vector of thermal liquid pressure values to be used with the vector of temperature values to search the two-dimensional table for other fluid properties.

Dependencies

To use this parameter, set the Table dimensions parameters to 2D vectors based on temperature and pressure (T,p).

Atmospheric pressure - atmospheric pressure for the thermal liquid network
0.101325 MPa (by default)

Absolute ambient pressure of the connected thermal liquid network. By default the value corresponds to normal atmospheric pressure.

Valid pressure-temperature region parameterization - method of specifying the allowable pressure and temperature range for a thermal liquid
Specified minimum and maximum values (by default) | Validity matrix

Select how the unit sets the allowable pressure and temperature range:

Specified minimum and maximum values - uses the values of the parameters Minimum valid temperature, Maximum valid temperature, Minimum valid pressure and Maximum valid pressure .
Validity matrix - the Pressure-temperature validity matrix parameters are used to specify valid pressure-temperature pairs.

Dependencies

To use this parameter, set the Table dimensions parameters to 2D tables based on temperature and pressure (T,p).

Minimum valid temperature - minimum valid temperature for thermal liquid
273.16 K (By default) | scalar with temperature units.

Minimum temperature allowed in thermal liquid during simulation.

Maximum valid temperature - maximum valid temperature for thermal liquid
363.16 K (by default) | scalar with temperature units

Maximum temperature allowed in thermal liquid during simulation.

Minimum valid pressure - minimum valid pressure for thermal liquid
0.05 MPa (By default) | scalar with pressure units

Minimum pressure of thermal liquid during simulation.

Maximum valid pressure - maximum allowable pressure for thermal liquid
50 MPa (by default) | scalar with pressure measurement units

Minimum pressure allowed in the thermal liquid during simulation.

Pressure-temperature validity matrix - matrix of valid and invalid pressure-temperature combinations
an 11-by-12 matrix of zeros and ones (by default) | a dimensionless M-by-N matrix

A matrix of tolerance values for various temperature and pressure data points. A value of 1 indicates an allowable point and a value of 0 indicates an unallowable point.

Dependencies

This parameter is only active if the Table dimensions parameter is set to 2D tables based on temperature and pressure (T,p) and the parameterization Valid pressure-temperature region is set to `Validity matrix'.

Default value:

[1 1 1 1 1 1 1 1 1 1 1 1; 1 1 1 1 1 1 1 1 1 1 1 1; 1 1 1 1 1 1 1 1 1 1 1 1; 1 1 1 1 1 1 1 1 1 1 1 1; 1 1 1 1 1 1 1 1 1 1 1 1; 0 1 1 1 1 1 1 1 1 1 1 1; 0 1 1 1 1 1 1 1 1 1 1 1; 0 1 1 1 1 1 1 1 1 1 1 1; 0 1 1 1 1 1 1 1 1 1 1 1; 0 1 1 1 1 1 1 1 1 1 1 1; 0 0 1 1 1 1 1 1 1 1 1 1]

Density

Density parameterization

 - a method of specifying the density of a fluid with temperature and pressure dependence 
 `Density, bulk modulus and thermal expansion tables - rho(T,p), beta(T,p), alpha(T,p) (by default)

| Density table - rho(T,p) | Reference density

A method for determining the density of a thermal liquid network.

The density can be a function of temperature and pressure.

Dependencies

This parameter is only active if the Table dimensions parameter is set to 2D tables based on temperature and pressure (T,p).

Density parameterization - method of specifying liquid density with dependence only on temperature
Density vector - rho(T) (by default) | Reference density.

A method for determining the density of a thermal liquid network.

Density can be a function of temperature only.

Dependencies

This parameter is only active if the Table dimensions parameter is set to 1D vectors based on temperature (T).

Density table, rho(T,p) - table of values of liquid densities at given temperatures and pressures
` matrix 11 by 12 (by default)` | ` matrix M by N with mass/volume units`.

A matrix of liquid density values to search a two-dimensional table by pressure and temperature.

The size of the matrix must match the size of the pressure and temperature vectors. Rows of the table correspond to values of parameters Temperature vector, and columns - to values of Pressure vector.

Dependencies

This parameter is active only if the Table dimensions parameter is set to 2D tables based on temperature and pressure (T,p) and the Density parameterization parameter is set to Density, bulk modulus and thermal expansion tables - rho(T,p), beta(T,p), alpha(T,p) or Density table - rho(T,p).

Default value:

[999.7973 999.8431 1002.3216 1004.8218 1007.2930 1009.7358 1012.1506 1014.5379 1016.8979 1019.2311 1021.5380 1023.8188; 999.6579 999.7009 1002.0303 1004.3820 1006.7084 1009.0101 1011.2874 1013.5407 1015.7703 1017.9766 1020.1599 1022.3206; 998.1632 998.2045 1000.4375 1002.6924 1004.9239 1007.1324 1009.3183 1011.4819 1013.6236 1015.7438 1017.8428 1019.9210; 995.6057 995.6458 997.8186 1000.0128 1002.1841 1004.3332 1006.4603 1008.5660 1010.6505 1012.7144 1014.7580 1016.7815; 992.1724 992.2119 994.3513 996.5113 998.6484 1000.7633 1002.8563 1004.9280 1006.9788 1009.0090 1011.0192 1013.0097; 988.0200 988.0299 990.1568 992.3035 994.4268 996.5273 998.6056 1000.6622 1002.6976 1004.7123 1006.7067 1008.6813; 983.1800 983.1901 985.3217 987.4721 989.5983 991.7008 993.7803 995.8374 997.8726 999.8864 1001.8795 1003.8522; 977.7500 977.7583 979.9094 982.0783 984.2216 986.3400 988.4343 990.5050 992.5529 994.5786 996.5825 998.5654; 971.7700 971.7836 973.9673 976.1678 978.3409 980.4876 982.6087 984.7049 986.7768 988.8254 990.8511 992.8545; 965.2600 965.3023 967.5311 969.7753 971.9901 974.1764 976.3354 978.4676 980.5741 982.6556 984.7129 986.7465; 958.6200 958.6315 960.6270 962.9267 965.1944 967.4314 969.6387 971.8173 973.9681 976.0921 978.1900 980.2628] kg/m³.

Density vector, rho(T) - vector of densities of liquids at given temperatures
11-element column vector (by default) | M-element vector with thermal conductivity units

Tabulated density data are at the temperatures given in the Temperature and Pressure parameter group. Each element corresponds to a different temperature. The pressure dependence of density is not taken into account.

Dependencies

This parameter is active only if the Table dimensions parameter is set to 1D vectors based on temperature and the Density parameterization parameter is set to Density vector - rho(T).

Default value:

[999.8400, 999.7000, 998.2000, 995.6500, 992.2100, 988.0300, 983.1900, 977.7600, 971.7800, 965.3000, 958.8000] kg/m³.

Isothermal bulk modulus table, beta(T,p) - table of isothermal bulk modulus values for a heat conducting liquid
matrix 11 by 12 (by default) | matrix M by N with pressure units

Matrix of isothermal bulk compression modulus values for two-dimensional table search based on pressure and temperature. The size of the matrix should match the size of the pressure and temperature vectors. The table rows correspond to the values of the Temperature vector parameters, and the columns correspond to the values of the Pressure vector.

Dependencies

Default value:

[1.9649 1.9654 1.9929 2.0213 2.0499 2.0787 2.1078 2.1372 2.1668 2.1966 2.2268 2.2572; 2.0913 2.0918 2.1191 2.1471 2.1752 2.2036 2.2322 2.2610 2.2899 2.3191 2.3485 2.3781; 2.1786 2.1791 2.2067 2.2350 2.2634 2.2919 2.3206 2.3494 2.3784 2.4075 2.4367 2.4661; 2.2332 2.2337 2.2619 2.2908 2.3197 2.3487 2.3778 2.4070 2.4363 2.4657 2.4951 2.5246; 2.2600 2.2605 2.2895 2.3191 2.3487 2.3784 2.4081 2.4378 2.4675 2.4973 2.5272 2.5571; 2.2638 2.2638 2.2936 2.3240 2.3544 2.3848 2.4151 2.4455 2.4758 2.5062 2.5365 2.5669; 2.2472 2.2472 2.2779 2.3092 2.3403 2.3715 2.4025 2.4336 2.4646 2.4955 2.5264 2.5573; 2.2140 2.2140 2.2455 2.2776 2.3096 2.3415 2.3733 2.4050 2.4367 2.4683 2.4998 2.5313; 2.1668 2.1668 2.1992 2.2321 2.2649 2.2976 2.3301 2.3626 2.3949 2.4272 2.4593 2.4914; 2.1081 2.1081 2.1413 2.1750 2.2086 2.2421 2.2754 2.3085 2.3415 2.3744 2.4072 2.4399; 2.0494 2.0494 2.0494 2.0739 2.1084 2.1428 2.1770 2.2110 2.2449 2.2786 2.3121 2.3455 2.3788] GPa.

Isobaric thermal expansion coefficient table, alpha(T,p) - table of values of isobaric thermal expansion coefficients at specified temperatures and pressures
matrix 11 to 12 (by default) | matrix M to N with units 1/temperature

Matrix of isobaric thermal expansion coefficient values for two-dimensional table lookup based on pressure and temperature. The size of the matrix should match the size of the pressure and temperature vectors. The table rows correspond to the values of the Temperature vector parameters, and the columns correspond to the values of the Pressure vector.

Dependencies

Default value:

[-0.6790 -0.6760 -0.4900 -0.3070 -0.1300 0.0410 0.2060 0.3650 0.5190 0.6680 0.8110 0.9490; 0.8780 0.8810 0.9980 1.1140 1.2270 1.3370 1.4450 1.5490 1.6510 1.7500 1.8460 1.9390; 2.0680 2.0690 2.1410 2.2130 2.2830 2.3520 2.4200 2.4860 2.5510 2.6140 2.6760 2.7360; 3.0340 3.0350 3.0740 3.1130 3.1520 3.1910 3.2290 3.2670 3.3050 3.3410 3.3770 3.4130; 3.8550 3.8560 3.8700 3.8840 3.8990 3.9140 3.9300 3.9460 3.9610 3.9770 3.9930 4.0090; 4.5780 4.5780 4.5720 4.5660 4.5620 4.5580 4.5550 4.5520 4.5500 4.5490 4.5480 4.5470; 5.2330 5.2330 5.2090 5.1860 5.1650 5.1440 5.1250 5.1070 5.0900 5.0740 5.0590 5.0450; 5.8400 5.8400 5.8010 5.7620 5.7250 5.6910 5.6570 5.6250 5.5950 5.5660 5.5380 5.5120; 6.4140 6.4140 6.3600 6.3070 6.2560 6.2080 6.1610 6.1170 6.0740 6.0330 5.9940 5.9560; 6.9670 6.9670 6.8980 6.8310 6.7660 6.7050 6.6460 6.5890 6.5350 6.4820 6.4320 6.3840; 7.5190 7.5190 7.4230 7.3420 7.2640 7.1890 7.1180 7.0490 6.9830 6.9200 6.8590 6.8000] * 1e-4 1/K.

Reference density - density at known working condition
998.21 kg/m³ (by default) | scalar with density units

The density of the thermal liquid network at a known operating point. The unit uses this data to derive an analytical expression for density as a function of pressure and temperature.

Dependencies

This parameter is only active if the Table dimensions parameter is set to 1D vectors based on temperature (T) and the Density parameterization parameter is set to Reference density.

Reference temperature is the temperature at a known operating condition
293.16 K (by default) | scalar with temperature units.

The temperature of the thermal liquid network at a known operating point. The unit uses this data to derive an analytical expression for density as a function of pressure and temperature.

Dependencies

This parameter is only active if the Table dimensions parameter is set to 1D vectors based on temperature (T) and the Density parameterization parameter is set to Reference density.

Reference pressure - pressure at known operating condition
0.101325 MPa (by default) | scalar with pressure units.

The network pressure of the thermal liquid network at a known operating point. The unit uses this data to derive an analytical expression for density as a function of pressure and temperature.

Dependencies

This parameter is only active if the Table dimensions parameter is set to 1D vectors based on temperature (T) or 2D tables based on temperature and pressure (T,p) and the Density parameterization parameter is set to Reference density.

Constant isothermal bulk modulus is the isothermal bulk modulus at a known operating condition
2.1791 GPa (by default) | scalar with pressure units.

Isothermal bulk elastic modulus of the thermal liquid network at a known operating point. The unit uses this data to derive an analytical expression for density as a function of pressure and temperature.

Dependencies

Constant isobaric thermal expansion coefficient - isobaric thermal expansion coefficient at known operating condition
2.0691e-4 1/K (by default) | `scalar with units of 1/temperature `

The isobaric coefficient of thermal expansion of the thermal liquid network at a known operating point. The unit uses this data to derive an analytical expression for density as a function of pressure and temperature.

Dependencies

This parameter is only active if the Table dimensions parameter is set to 1D vectors based on temperature (T) and the Density parameterization parameter is set to Reference density.

Internal Energy

Internal energy parameterization is a method of determining the internal energy of a fluid with temperature and pressure dependence
Specific internal energy and specific heat tables - u(T,p), cp(T,p) (by default) | Specific internal energy table - u(T,p) | Specific heat table - cp(T,p)

A method for determining the internal energy of a thermal liquid network.

The internal energy can be a function of temperature and pressure. It can also be calculated from specific heat capacity data that you specify in place of internal energy.

Dependencies

This parameter is only active if the Table dimensions parameter is set to 1D vectors based on temperature (T).

Internal energy parameterization - method of determining internal energy of liquid with dependence only on temperature
Specific internal energy vector - u(T) (by default) | Specific heat vector - cp(T).

A method for determining the internal energy of a thermal liquid network.

The internal energy can be a function of temperature alone. It can also be calculated from specific heat capacity data that you specify instead of internal energy.

Dependencies

This parameter is only active if the Table dimensions parameter is set to 2D tables based on temperature and pressure (T,p).

Specific internal energy table, u(T,p) - table of specific internal energy values for thermal liquid
` matrix 11 to 12 (by default)` | ` matrix M to N with energy/mass units`.

Matrix of specific internal energy values for two-dimensional table search based on pressure and temperature. The size of the matrix should match the size of the pressure and temperature vectors. Rows of the table correspond to values of parameters Temperature vector, and columns - to values of Pressure vector.

Default value:

`[0.0002 0.0018 0.0860 0.1588 0.2190 0.2670 0.3034 0.3288 0.3436 0.3483 0.3435 0.3294;
42.0620 42.0600 41.9350 41.8040 41.6680 41.5270 41.3820 41.2330 41.0810 40.9240 40.7630 40.5990;
83.9530 83.9480 83.6510 83.3490 83.0490 82.7490 82.4510 82.1530 81.8560 81.5600 81.2650 80.9710;
125.7700 125.7600 125.3100 124.8600 124.4100 123.9700 123.5300 123.1000 122.6800 122.2500 121.8400 121.4200;
167.5700 167.5600 166.9600 166.3700 165.7900 165.2100 164.6500 164.0900 163.5400 163.0000 162.4600 161.9400;
209.3600 209.3600 208.6300 207.9000 207.1900 206.4800 205.7900 205.1100 204.4500 203.7900 203.1400 202.5000;
251.1900 251.1900 250.3300 249.4700 248.6200 247.7900 246.9800 246.1800 245.3900 244.6200 243.8600 243.1200;
293.0600 293.0600 292.0700 291.0700 290.1000 289.1400 288.2000 287.2800 286.3800 285.4900 284.6200 283.7700;
334.9900 334.9900 333.8600 332.7300 331.6300 330.5400 329.4800 328.4400 327.4100 326.4100 325.4300 324.4600;
377.0000 377.0000 375.7300 374.4600 373.2200 372.0000 370.8100 369.6400 368.5000 367.3800 366.2700 365.1900;
419.0100 419.0100 417.6900 416.2700 414.8900 413.5400 412.2100 410.9100 409.6400 408.4000 407.1700 405.9800] kJ/kg `

Specific internal energy vector, u(T) - vector of specific internal energy of liquids at given temperatures
11-element vector (by default) | `M-element vector with energy/mass units `

Tabular data for specific internal energy at the temperatures given in Temperature and Pressure. Each element corresponds to a different temperature. The pressure dependence of specific internal energy is not considered.

Dependencies

This parameter is only active if the Table dimensions parameter is set to 1D vectors based on temperature (T) and the Internal energy parameterization parameter is set to Specific internal energy vector - u(T).

By default:

[0.0018, 42.0600, 83.9480, 125.7600, 167.5600, 209.3600, 251.1900, 293.0600, 334.9900, 377.0000, 418.0100] kJ/kg.

Specific heat at constant pressure table, cp(T,p) - table of specific heat capacity values for thermal liquid
` matrix 11 to 12 (by default)` | ` matrix M to N with units of energy/mass*temperature)`

Matrix of specific heat capacity values for two-dimensional table lookup based on pressure and temperature. The size of the matrix should match the size of the pressure and temperature vectors. Table rows correspond to the values of parameters Temperature vector, and columns - to the values of Pressure vector.

Default value:

[4.2199 4.2194 4.1957 4.1726 4.1508 4.1300 4.1103 4.0916 4.0738 4.0569 4.0408 4.0254; 4.1955 4.1951 4.1769 4.1592 4.1422 4.1259 4.1103 4.0954 4.0812 4.0676 4.0545 4.0421; 4.1843 4.1840 4.1690 4.1543 4.1401 4.1264 4.1133 4.1007 4.0885 4.0768 4.0656 4.0548; 4.1801 4.1798 4.1667 4.1538 4.1413 4.1293 4.1177 4.1064 4.0956 4.0851 4.0750 4.0653; 4.1796 4.1794 4.1675 4.1558 4.1444 4.1334 4.1227 4.1123 4.1023 4.0926 4.0832 4.0741; 4.1813 4.1813 4.1702 4.1592 4.1484 4.1380 4.1279 4.1181 4.1086 4.0993 4.0903 4.0816; 4.1850 4.1850 4.1742 4.1636 4.1532 4.1432 4.1334 4.1239 4.1146 4.1056 4.0969 4.0884; 4.1901 4.1901 4.1795 4.1690 4.1588 4.1489 4.1393 4.1299 4.1207 4.1118 4.1032 4.0947; 4.1968 4.1968 4.1862 4.1757 4.1655 4.1555 4.1458 4.1364 4.1273 4.1183 4.1096 4.1012; 4.2052 4.2052 4.1944 4.1837 4.1733 4.1632 4.1534 4.1438 4.1345 4.1255 4.1166 4.1080; 4.2136 4.2136 4.2045 4.1935 4.1828 4.1724 4.1623 4.1524 4.1429 4.1335 4.1245 4.1157] kJ/(K*kg)

Specific heat at constant pressure vector, cp(T) - vector of specific heat capacities at specified temperatures
11-element vector (by default) | M-element vector with units of energy/(mass*temperature)

Tabular data for specific heat capacity at the temperatures specified in Temperature and Pressure. Each row corresponds to a different temperature. The pressure dependence of specific heat is not taken into account.

Dependencies

By default:

[4.2199, 4.1955, 4.1843, 4.1801, 4.1796, 4.1813, 4.1850, 4.1901, 4.1968, 4.2052, 4.2136] kJ/(K*kg).

Viscosity and Conductivity

Kinematic viscosity table, nu(T,p) - table of kinematic viscosity values for thermal liquid
matrix 11 to 12 (by default) | matrix M to N with units of area/time

Matrix of kinematic viscosity values for two-dimensional table search based on pressure and temperature. The size of the matrix should match the size of the pressure and temperature vectors. The table rows correspond to the values of the Temperature vector parameters, and the columns correspond to the values of the Pressure vector.

Dependencies

This parameter is active only if the Table dimensions parameter is set to 2D tables based on temperature and pressure (T,p).

By default:

[1.7917 1.7914 1.7763 1.7615 1.7473 1.7338 1.7208 1.7085 1.6967 1.6854 1.6747 1.6645; 1.3061 1.3059 1.2986 1.2914 1.2845 1.2779 1.2716 1.2656 1.2598 1.2543 1.2491 1.2441; 1.0032 1.0032 0.9995 0.9959 0.9924 0.9891 0.9859 0.9829 0.9801 0.9774 0.9748 0.9724; 0.8006 0.8005 0.7987 0.7970 0.7953 0.7937 0.7922 0.7908 0.7894 0.7881 0.7870 0.7859; 0.6577 0.6577 0.6570 0.6562 0.6555 0.6548 0.6543 0.6537 0.6532 0.6528 0.6523 0.6520; 0.5530 0.5530 0.5529 0.5527 0.5526 0.5525 0.5524 0.5524 0.5524 0.5524 0.5524 0.5525; 0.4739 0.4739 0.4741 0.4743 0.4745 0.4747 0.4750 0.4753 0.4755 0.4758 0.4762 0.4765; 0.4127 0.4127 0.4131 0.4135 0.4139 0.4143 0.4148 0.4152 0.4157 0.4162 0.4167 0.4172; 0.3643 0.3643 0.3648 0.3654 0.3659 0.3665 0.3670 0.3676 0.3682 0.3688 0.3694 0.3700; 0.3254 0.3254 0.3261 0.3267 0.3273 0.3280 0.3286 0.3293 0.3299 0.3306 0.3312 0.3319; 0.2866 0.2866 0.2945 0.2952 0.2959 0.2965 0.2972 0.2979 0.2986 0.2993 0.3000 0.3007] mm²/s

Thermal conductivity table, k(T,p) - table of thermal conductivity values for thermal liquid
matrix 11 by 12 (by default) | matrix M by N with thermal conductivity units

Matrix of thermal conductivity values for two-dimensional table lookup based on pressure and temperature. The size of the matrix should match the size of the pressure and temperature vectors. The rows of the table correspond to the values of the Temperature vector parameters and the columns correspond to the values of the Pressure vector.

Dependencies

This parameter is active only if the Table dimensions parameter is set to 2D tables based on temperature and pressure (T,p).

By default:

[561.0400 561.0900 563.8000 566.5600 569.3200 572.0800 574.8200 577.5400 580.2400 582.9200 585.5700 588.1800; 580.0200 580.0700 582.4500 584.8800 587.3200 589.7500 592.1800 594.6100 597.0200 599.4200 601.8000 604.1600; 598.4400 598.4800 600.7300 603.0300 605.3300 607.6400 609.9400 612.2400 614.5400 616.8200 619.1000 621.3600; 615.4800 615.5200 617.7300 620.0000 622.2600 624.5400 626.8100 629.0700 631.3400 633.6000 635.8500 638.0900; 630.6000 630.6400 632.8700 635.1500 637.4400 639.7200 642.0100 644.2900 646.5700 648.8400 651.1100 653.3600; 643.6100 643.6100 645.8800 648.2100 650.5300 652.8600 655.1800 657.5100 659.8200 662.1400 664.4400 666.7400; 654.3900 654.3900 656.7300 659.1200 661.5000 663.8900 666.2700 668.6500 671.0200 673.3800 675.7400 678.0900; 663.1300 663.1300 665.5400 668.0000 670.4600 672.9100 675.3600 677.8000 680.2400 682.6700 685.0900 687.5000; 670.0200 670.0200 672.5100 675.0500 677.5900 680.1200 682.6400 685.1600 687.6700 690.1700 692.6600 695.1400; 675.2700 675.2700 677.8500 680.4800 683.1100 685.7300 688.3400 690.9400 693.5300 696.1100 698.6800 701.2400; 680.5200 680.5200 681.7700 684.5000 687.2200 689.9400 692.6400 695.3400 698.0200 700.6900 703.3500 706.0000] mW/(K*m)

Kinematic viscosity vector, nu(T) - vector of kinematic viscosities at specified temperatures
11-element vector (by default) | `M-element vector with area/time units `

Tabulated data for kinematic viscosity at the temperatures specified in Temperature and Pressure. Each line corresponds to a different temperature. The pressure dependence of kinematic viscosity is not taken into account.

Dependencies

This parameter is only active if the Table dimensions parameter is set to 1D vectors based on temperature (T).

By default:

[1.7917, 1.3061, 1.0032, 0.8006, 0.6577, 0.5530, 0.4739, 0.4127, 0.3643, 0.3254, 0.2866] mm²/s.

Thermal conductivity vector, K(T) - vector of thermal conductivities at given temperatures
11-element vector (by default) | M-element vector with units of force/(length*temperature)

Tabulated thermal conductivity data at the temperatures specified in Temperature and Pressure. Each line corresponds to a different temperature. The dependence of thermal conductivity on pressure is not taken into account.

Dependencies

This parameter is only active if the Table dimensions parameter is set to 1D vectors based on temperature (T).

By default:

[561.0400, 580.0200, 598.4400, 615.4800, 630.6000, 643.6100, 654.3900, 663.1300, 670.0200, 675.2700, 680.5200] mW/(K*m).