Turbine (MA)

Turbine in a moist air network

Since R2025a

Libraries:
Simscape / Fluids / Moist Air / Turbomachinery

Description

The Turbine (MA) block models a turbine in a moist air network. You can parameterize the block as a tabulated turbine map that is either a 1-D function of pressure ratio or 2-D function of pressure ratio and corrected mass flow rate. Fluid flowing from port A to port B generates torque. Port R reports shaft torque and angular velocity relative to port C, which represents the turbine casing.

When enabled, port VN represents the nozzle opening fraction. This value linearly scales the corrected mass flow rate but does not influence the turbine efficiency. A value of 1 corresponds to the data in the turbine map.

Turbine Map

To visualize the block map, right-click the block and select Fluids > Plot Turbine Map.

Each time you modify the block settings, click Reload Data on the figure window.

The turbine map relates turbine performance, as a function of pressure ratio, to the corrected mass flow rate and isentropic efficiency. The pressure ratio is the ratio between the turbine inlet pressure and outlet pressure.

The turbine map plots two separate graphs: corrected mass flow rate versus pressure ratio and isentropic efficiency versus pressure ratio. When you set the Turbine map parameterization to Tabulated data - flow rate and efficiency vs. corrected speed and pressure ratio, the plots also depend on the corrected rotor speed, N. The indexing variable β does not need to be the same between the mass flow rate and efficiency tables.

Corrected Mass Flow Rate

Due to the large changes in pressure and temperature inside a turbine, the turbine map plots performance in terms of the corrected mass flow rate.

The map adjusts the corrected mass flow rate from the inlet mass flow rate by using the reference pressure and reference temperature,

${\dot{m}}_{c o r r} = {\dot{m}}_{A} (\sqrt{\frac{T_{A} R_{A} / γ_{A}}{T_{r e f} R_{r e f} / γ_{r e f}}} / \frac{p_{A}}{p_{r e f}}),$

where:

ṁ_A is the mass flow rate at port A.
T_A is the temperature at port A.
T_ref is the value of the Reference temperature for corrected flow parameter.
R_A is the mixture specific gas constant at port A.
R_ref is the mixture specific gas constant calculated at the values of the Reference pressure for corrected flow, Reference temperature for corrected flow, and Reference relative humidity for corrected flow parameters.
γ_A is the ratio of specific heats at port A.
γ_ref is the ratio of specific heats at the values of the Reference pressure for corrected flow, Reference temperature for corrected flow, and Reference relative humidity for corrected flow parameters.
p_A is the pressure at port A.
p_ref is the value of the Reference pressure for corrected flow parameter.

Corrected Speed

The block also adjusts the shaft speed, ω, according to the reference temperature, such that the corrected shaft speed is

$ω_{c o r r} = \frac{ω}{\sqrt{\frac{T_{A} R_{A} / γ_{A}}{T_{r e f} R_{r e f} / γ_{r e f}}}} .$

Shaft Torque

The block calculates the shaft torque, τ, as

$τ = \frac{η_{m} {\dot{m}}_{A} Δ h_{t o t a l}}{ω},$

where:

Δh_total is the total change in the fluid specific enthalpy.
η_m is the value of the Mechanical efficiency parameter.
ω is the relative shaft angular velocity, ω_R - ω_C.

Reversed flow, from port B to port A, is outside of the typical turbine operation mode and may not return accurate results. A threshold region when flow approaches zero ensures the block generates no torque when the flow rate is near zero or reversed.

Analytical Parametrization

Use the analytical parametrization to create a turbine based on the expected nominal operating conditions. When Turbine map parameterization is Analytical – nominal pressure ratio and corrected mass flow rate, the turbine isentropic efficiency is constant and the mass flow rate is a function of the pressure ratio.

This image shows the default turbine map when you use the analytical parameterization.

Analytical Turbine map

Parameterization by Pressure Ratio

When Turbine map parameterization is Tabulated data - Flow rate and efficiency vs. pressure ratio, the turbine isentropic efficiency and mass flow rate are a function of the pressure ratio and do not account for any changes in the turbine rotational speed.

The last element of the Corrected mass flow rate vector, mdot(pr) and the Pressure ratio vector, pr parameters represents the corrected mass flow rate and pressure ratio at choked flow conditions.

This image shows the default turbine map when you use the 1-D parameterization.

1D Turbine map

Parameterization by Pressure Ratio and Corrected Mass Flow Rate

When Turbine map parameterization is Tabulated data - Flow rate and efficiency vs. corrected speed and pressure ratio, the turbine isentropic efficiency, pressure ratio, and corrected mass flow rate are a function of the corrected speed, N, and the map index, β. The block uses linear interpolation between data points for the efficiency, pressure ratio, and corrected mass flow rate parameters.

The last column of the Corrected mass flow rate table, mdot(N,beta) and the Pressure ratio table, pr(N,beta) parameters represents the corrected mass flow rate and pressure ratio at choked flow conditions.

This image shows the default turbine map when you use the 2-D parameterization.

2D Turbine map

Conservation of Mass

When you clear the Model water vapor condensation parameter, the block conserves mass such that

$\begin{array}{l} {\dot{m}}_{A} + {\dot{m}}_{B} = 0 \\ {\dot{m}}_{w A} + {\dot{m}}_{w B} = 0 \\ {\dot{m}}_{g A} + {\dot{m}}_{g B} = 0 \\ {\dot{m}}_{d A} + {\dot{m}}_{d B} = 0 \end{array}$

where:

$\dot{m}$ _B is the mixture mass flow rate at port B.
$\dot{m}$ _wA and $\dot{m}$ _wB are the water vapor mass flow rates at ports A and B, respectively.
$\dot{m}$ _gA and $\dot{m}$ _gB are the trace gas mass flow rates at ports A and B, respectively.
$\dot{m}$ _dA and $\dot{m}$ _dB are the mass flow rates of the water droplets at ports A and B, respectively.

If you select Model water vapor condensation, the mass balance equations are

$\begin{array}{l} {\dot{m}}_{A} + {\dot{m}}_{B} - {\dot{m}}_{w_{c o n d}} = 0 \\ {\dot{m}}_{w A} + {\dot{m}}_{w B} - {\dot{m}}_{w_{c o n d}} = 0 \\ {\dot{m}}_{g A} + {\dot{m}}_{g B} = 0 \\ {\dot{m}}_{d A} + {\dot{m}}_{d B} + γ {\dot{m}}_{w_{c o n d}} = 0 \end{array}$

where γ is the value of the Fraction of condensate entrained as water droplets parameter.

The rate of water vapor condensation, $\dot{m}$ _{w_cond}, is

${\dot{m}}_{w_{c o n d}} = \max {{\dot{m}}_{A}, 0} x_{w_{c o n d}} .$

x_{w_cond} is the mass fraction of water vapor that can condense,

$x_{w_{c o n d}} = \max {x_{w_{A}} - x_{w s_{B}}, 0},$

where x_{ws_B} is the specific humidity at saturation and x_{w_A} is the specific humidity.

Conservation of Energy

When you clear the Model water vapor condensation parameter,

$Φ_{A} + Φ_{B} - P_{f l u i d} = 0,$

where:

Φ_A is the energy flow rate at port A.
Φ_B is the energy flow rate at port B.
P_fluid is the hydraulic power delivered to the fluid, which the block determines from the change in specific enthalpy, Δh, $P_{f l u i d} = {\dot{m}}_{A} Δ h_{t o t a l} .$

If you select Model water vapor condensation, the block computes the energy balance equation as

$Φ_{A} + Φ_{B} - P_{f l u i d} - {\dot{m}}_{w_{c o n d}} (1 - λ) h_{d_{c o n d}} = 0,$

where h_{d_cond} is the specific enthalpy of the water that is removed from the moist air flow by condensation.

Assumptions and Limitations

The shaft does not rotate under reversed flow conditions. Results during reversed flows may not be accurate.

Ports

Input

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VN — Nozzle opening fraction, unitless
physical signal

Variable nozzle opening fraction, specified as a unitless physical signal. The corrected mass flow rate scales linearly with the value of VN. A fraction of 1 corresponds to the tabulated data. The nozzle opening fraction does not influence the isentropic efficiency.

Dependencies

To enable this port, select Model variable nozzle.

Output

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W — Moist air condensation rate, kg/s
physical signal

Rate of condensation that the block removes from the moist air flow. The value of this port does not include the portion of condensation that is entrained as water droplets.

Dependencies

To enable this port, select Model water vapor condensation.

Conserving

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A — Moist air inlet
moist air

Moist air conserving port associated with the fluid entry port.

B — Moist air outlet
moist air

Moist air conserving port associated with the fluid exit port.

C — Turbine case
mechanical translational

Port associated with the turbine casing.

R — Turbine shaft
mechanical translational

Port associated with the turbine shaft torque and angular velocity.

Parameters

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Turbine Map

Turbine map parameterization — Performance parameterization
`Analytical - Nominal pressure ratio and corrected mass flow rate` (default) | `Tabulated data - Flow rate and efficiency vs. pressure ratio` | `Tabulated data - Flow rate and efficiency vs. corrected speed and pressure ratio`

Performance parameterization specification:

Analytical - Nominal pressure ratio and corrected mass flow rate: Parameterize turbine isentropic efficiency and corrected mass flow rate analytically.
Tabulated data - Flow rate and efficiency vs. pressure ratio: Parameterize turbine isentropic efficiency and corrected mass flow rate by pressure ratio.
Tabulated data - Flow rate and efficiency vs. corrected speed and pressure ratio: Parameterize turbine isentropic efficiency and corrected mass flow rate by corrected speed and pressure ratio.

Model variable nozzle — Whether to enable the variable nozzle input port
`Off` (default) | `On`

Whether to enable the variable nozzle input port VN. When you do not enable the VN port, the nozzle remains constant at 1.

Minimum nozzle opening fraction — Minimum opening fraction
`1e-3` (default) | positive scalar in the range (0,1]

Minimum nozzle opening fraction. This value is the lower boundary to the signal at VN. The block multiplies the value of this parameter by the mass flow rate to obtain the minimum corrected mass flow rate through the turbine.

Dependencies

To enable this parameter, select Model variable nozzle.

Maximum nozzle opening fraction — Maximum opening fraction
`1` (default) | positive scalar in the range (0,1]

Maximum nozzle opening fraction. This value is the upper boundary to the signal at VN. The block multiplies the value of this parameter by the mass flow rate to obtain the maximum corrected mass flow rate through the turbine.

Dependencies

To enable this parameter, select Model variable nozzle.

Corrected speed index vector, N — Tabulated data shaft speed indices
`100 .* [50, 60, 70, 80, 90, 100, 110]` rpm (default) | vector of positive scalars

Vector of constant shaft speeds for tabular parameterization of corrected mass flow rate and isentropic efficiency.

Dependencies

To enable this parameter, set Turbine map parameterization to Tabulated data - Flow rate and efficiency vs. corrected speed and pressure ratio.

Flow Rate Data

Nominal pressure ratio — Pressure ratio value
`2` (default) | positive scalar

Pressure ratio value under nominal operating conditions for the analytical parameterization.

Dependencies

To enable this parameter, set Turbine map parameterization to Analytical - Nominal pressure ratio and corrected mass flow rate.

Nominal corrected mass flow rate — Corrected mass flow rate value
`48` kg/s (default) | positive scalar

Corrected mass flow rate value under nominal operating conditions for the analytical parameterization.

Dependencies

To enable this parameter, set Turbine map parameterization to Analytical - Nominal pressure ratio and corrected mass flow rate.

Pressure ratio vector, pr — Vector of pressure ratios
`[1.251, 1.345, 1.442, 1.521, 1.596, 1.692, 1.849, 1.972, 2.1, 2.173, 2.259, 2.3424]` (default) | vector of positive scalars

Vector of pressure ratio values for the tabulated parameterization of corrected mass flow rate. This vector must have the same number of elements as the Corrected mass flow rate vector, mdot(pr) parameter and all elements must be greater than 1. The last element must be the pressure ratio at choked conditions.

Dependencies

To enable this parameter, set Turbine map parameterization to Tabulated data - Flow rate and efficiency vs. pressure ratio.

Corrected mass flow rate vector, mdot(pr) — Vector of corrected mass flow rate values
`[39.439, 43.01, 45.556, 46.801, 47.792, 48.388, 48.634, 48.67, 48.689, 48.747, 48.825, 48.912]` kg/s (default) | vector of positive scalars

Vector of corrected mass flow rate values for the tabulated parameterization of corrected mass flow rate. This vector must have the same number of elements as the Pressure ratio vector, pr parameter and all elements must be greater than 0. The last element must be the corrected mass flow rate at choked conditions.

Dependencies

To enable this parameter, set Turbine map parameterization to Tabulated data - Flow rate and efficiency vs. pressure ratio.

Pressure ratio table, pr(N,beta) — Turbine map pressure ratio data
M-by-N matrix (default)

M-by-N matrix of turbine outlet-to-inlet pressure ratios at the specified corrected shaft speed and β value. The block employs linear interpolation between the table elements. M and N are the sizes of the corresponding vectors:

M is the number of vector elements in the Corrected speed index vector, N parameter.
N is the number of β indices in the table.

The default table values are:

[1.217, 1.285, 1.323, 1.363, 1.402, 1.427, 1.495, 1.545, 1.6, 1.687, 1.747, 1.8074; 1.231, 1.302, 1.356, 1.404, 1.443, 1.473, 1.525, 1.577, 1.635, 1.709, 1.782, 1.845; 1.242, 1.328, 1.388, 1.437, 1.528, 1.617, 1.704, 1.811, 1.915, 1.979, 2.053, 2.1226; 1.244, 1.339, 1.417, 1.465, 1.528, 1.584, 1.692, 1.787, 1.899, 2, 2.075, 2.1492; 1.245, 1.34, 1.425, 1.492, 1.546, 1.684, 1.748, 1.882, 1.987, 2.084, 2.167, 2.2458; 1.251, 1.345, 1.442, 1.521, 1.596, 1.692, 1.849, 1.972, 2.1, 2.173, 2.259, 2.3424; 1.248, 1.348, 1.447, 1.516, 1.581, 1.651, 1.749, 1.839, 1.93, 2.024, 2.154, 2.242]

Dependencies

To enable this parameter, set Turbine map parameterization to Tabulated data - Flow rate and efficiency vs. corrected speed and pressure ratio.

Corrected mass flow rate table, mdot(N,beta) — Turbine map corrected mass flow rate data
M-by-N matrix (default)

M-by-N matrix of corrected mass flow rates at the specified corrected shaft speed and β value. The block employs linear interpolation between the table elements. M and N are the sizes of the corresponding vectors:

M is the number of vector elements in the Constant speed index vector, N parameter.
N is the number of β indices in the table.

The default table values are:

[40.403, 44.417, 46.653, 47.966, 48.97, 49.544, 50.001, 50.081, 50.086, 50.095, 50.09, 50.0922; 40.044, 43.754, 46.125, 47.626, 48.513, 49.105, 49.481, 49.58, 49.597, 49.624, 49.638, 49.633; 39.941, 43.795, 46.017, 47.335, 48.795, 49.199, 49.279, 49.27, 49.248, 49.23, 49.255, 49.2428; 39.896, 43.512, 45.914, 47.061, 48.011, 48.558, 48.943, 49.042, 49.069, 49.01, 49.046, 49.0266; 39.524, 42.934, 45.686, 46.743, 47.715, 48.67, 48.777, 48.836, 48.876, 48.836, 48.845, 48.8184; 39.439, 43.01, 45.556, 46.801, 47.792, 48.388, 48.634, 48.67, 48.639, 48.647, 48.625, 48.5912; 39.502, 42.849, 45.336, 46.385, 47.312, 47.877, 48.222, 48.397, 48.459, 48.482, 48.455, 48.414] kg/s

Dependencies

To enable this parameter, set Turbine map parameterization to Tabulated data - Flow rate and efficiency vs. corrected speed and pressure ratio.

Efficiency Data

Constant isentropic efficiency — Isentropic efficiency value
`0.8` (default) | positive scalar

Isentropic efficiency under nominal operating conditions for the analytical parametrization.

Dependencies

To enable this parameter, set Turbine map parameterization to Analytical - Nominal pressure ratio and corrected mass flow rate.

Pressure ratio vector, pr — Vector of pressure ratios
`[1.252, 1.328, 1.425, 1.544, 1.642, 1.757, 1.873, 2.005, 2.1, 2.204, 2.248, 2.28]` (default) | vector of positive scalars

Vector of pressure ratio values for the tabulated parameterization of isentropic efficiency. This vector must have the same number of elements as the Isentropic efficiency vector, eta(pr)) parameter and all elements must be greater than 1.

Dependencies

To enable this parameter, set Turbine map parameterization to Tabulated data - Flow rate and efficiency vs. pressure ratio.

Isentropic efficiency vector, eta(pr) — Vector of isentropic efficiencies
`[.559, .61, .673, .741, .788, .835, .869, .895, .908, .899, .854, .751]` (default) | vector of elements in the range (0,1]

Vector of isentropic efficiency values for the tabulated parameterization of isentropic efficiency. This vector must have the same number of elements as the Pressure ratio vector, pr parameter and all elements must be greater than 0 and less than or equal to 1.

Dependencies

To enable this parameter, set Turbine map parameterization to Tabulated data - Flow rate and efficiency vs. pressure ratio.

Pressure ratio table, pr(N,beta) — Turbine map pressure ratio data
M-by-N matrix (default)

M is the number of vector elements in the Constant speed index vector, N parameter.
N is the number of β indices in the table.

The default table values are:

[1.224, 1.246, 1.292, 1.387, 1.457, 1.534, 1.61, 1.686, 1.743, 1.79, 1.871, 1.914; 1.237, 1.25, 1.28, 1.369, 1.459, 1.553, 1.629, 1.716, 1.799, 1.846, 1.927, 1.97; 1.241, 1.255, 1.283, 1.326, 1.401, 1.509, 1.591, 1.704, 1.806, 1.913, 1.994, 2.037; 1.25, 1.265, 1.308, 1.364, 1.456, 1.532, 1.637, 1.739, 1.851, 1.934, 2.042, 2.085; 1.281, 1.314, 1.371, 1.425, 1.498, 1.574, 1.647, 1.749, 1.878, 1.979, 2.091, 2.18; 1.252, 1.328, 1.425, 1.544, 1.642, 1.757, 1.873, 2.005, 2.1, 2.204, 2.248, 2.28; 1.382, 1.43, 1.495, 1.586, 1.688, 1.791, 1.887, 1.99, 2.079, 2.158, 2.249, 2.217]

Dependencies

To enable this parameter, set Turbine map parameterization to Tabulated data - Flow rate and efficiency vs. corrected speed and pressure ratio.

Isentropic efficiency table, eta(N,beta) — Turbine map isentropic efficiency data
M-by-N matrix (default)

M-by-N matrix of turbine isentropic efficiencies at the specified constant shaft speed and β value. The block employs linear interpolation between the table elements. M and N are the sizes of the corresponding vectors:

M is the number of vector elements in the Constant speed index vector, N parameter.
N is the number of β indices in the table.

The default table values are:

[.72, .754, .759, .739, .714, .679, .643, .603, .554, .524, .494, .48; .716, .757, .794, .819, .812, .788, .761, .728, .692, .662, .632, .618; .629, .691, .775, .831, .858, .869, .859, .842, .816, .782, .752, .738; .594, .668, .757, .804, .857, .883, .892, .893, .884, .865, .835, .821; .664, .72, .779, .823, .858, .883, .897, .905, .904, .896, .883, .868; .559, .61, .673, .741, .788, .835, .869, .895, .908, .899, .854, .751; .718, .785, .824, .855, .882, .9, .908, .906, .884, .857, .804, .701]

Dependencies

To enable this parameter, set Turbine map parameterization to Tabulated data - Flow rate and efficiency vs. corrected speed and pressure ratio.

Parameters

Reference pressure for corrected flow — Correcting pressure
`0.101325` MPa (default) | positive scalar

Pressure at which the turbine data consolidates to a corrected trend line.

Reference temperature for corrected flow — Correcting temperature
`288.15` K (default) | positive scalar

Temperature at which the turbine data the turbine data consolidates to a corrected trend line.

Reference relative humidity for corrected flow — Correcting relative humidity
`0` (default) | scalar in the range [0,1]

Relative humidity at which the turbine data consolidates to a corrected trend line.

Mechanical efficiency — Efficiency of conversion to torque
`0.9` (default) | positive scalar in the range [0,1]

Efficiency of the conversion from reduction in specific enthalpy to shaft torque.

Model water vapor condensation — Option to model water vapor condensation
`off` (default) | `on`

Option to model water vapor condensation due to temperature change in the turbine.

Relative humidity at saturation — Relative humidity above which condensation occurs
`1` (default) | positive scalar

Relative humidity above which condensation occurs in the compressor.

Dependencies

To enable this parameter, select Model water vapor condensation.

Fraction of condensate entrained as water droplets — Fraction of condensate in water droplets
`1` (default) | scalar in the range [0,1]

Fraction of the condensate in the moist air that is entrained as water droplets.

Dependencies

To enable this parameter, select Model water vapor condensation.

Inlet area at port A — Turbine inlet area
`1` m^2 (default) | positive scalar

Turbine inlet cross-sectional area.

Outlet area at port B — Turbine outlet area
`1` m^2 (default) | positive scalar

Turbine outlet cross-sectional area.

Extended Capabilities

expand all

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Version History

Introduced in R2025a

Turbine (MA)

Description

Turbine Map

Shaft Torque

Analytical Parametrization

Parameterization by Pressure Ratio

Parameterization by Pressure Ratio and Corrected Mass Flow Rate

Conservation of Mass

Conservation of Energy

Assumptions and Limitations

Ports

Input

VN — Nozzle opening fraction, unitless physical signal

Dependencies

Output

W — Moist air condensation rate, kg/s physical signal

Dependencies

Conserving

A — Moist air inlet moist air

B — Moist air outlet moist air

C — Turbine case mechanical translational

R — Turbine shaft mechanical translational

Parameters

Turbine Map

Turbine map parameterization — Performance parameterization Analytical - Nominal pressure ratio and corrected mass flow rate (default) | Tabulated data - Flow rate and efficiency vs. pressure ratio | Tabulated data - Flow rate and efficiency vs. corrected speed and pressure ratio

Model variable nozzle — Whether to enable the variable nozzle input port Off (default) | On

Minimum nozzle opening fraction — Minimum opening fraction 1e-3 (default) | positive scalar in the range (0,1]

Dependencies

Maximum nozzle opening fraction — Maximum opening fraction 1 (default) | positive scalar in the range (0,1]

Dependencies

Corrected speed index vector, N — Tabulated data shaft speed indices 100 .* [50, 60, 70, 80, 90, 100, 110] rpm (default) | vector of positive scalars

Dependencies

Flow Rate Data

Nominal pressure ratio — Pressure ratio value 2 (default) | positive scalar

Dependencies

Nominal corrected mass flow rate — Corrected mass flow rate value 48 kg/s (default) | positive scalar

Dependencies

Pressure ratio vector, pr — Vector of pressure ratios [1.251, 1.345, 1.442, 1.521, 1.596, 1.692, 1.849, 1.972, 2.1, 2.173, 2.259, 2.3424] (default) | vector of positive scalars

Dependencies

Corrected mass flow rate vector, mdot(pr) — Vector of corrected mass flow rate values [39.439, 43.01, 45.556, 46.801, 47.792, 48.388, 48.634, 48.67, 48.689, 48.747, 48.825, 48.912] kg/s (default) | vector of positive scalars

Dependencies

Pressure ratio table, pr(N,beta) — Turbine map pressure ratio data M-by-N matrix (default)

Dependencies

Corrected mass flow rate table, mdot(N,beta) — Turbine map corrected mass flow rate data M-by-N matrix (default)

Dependencies

Efficiency Data

Constant isentropic efficiency — Isentropic efficiency value 0.8 (default) | positive scalar

Dependencies

Pressure ratio vector, pr — Vector of pressure ratios [1.252, 1.328, 1.425, 1.544, 1.642, 1.757, 1.873, 2.005, 2.1, 2.204, 2.248, 2.28] (default) | vector of positive scalars

Dependencies

Isentropic efficiency vector, eta(pr) — Vector of isentropic efficiencies [.559, .61, .673, .741, .788, .835, .869, .895, .908, .899, .854, .751] (default) | vector of elements in the range (0,1]

Dependencies

Pressure ratio table, pr(N,beta) — Turbine map pressure ratio data M-by-N matrix (default)

Dependencies

Isentropic efficiency table, eta(N,beta) — Turbine map isentropic efficiency data M-by-N matrix (default)

Dependencies

Parameters

Reference pressure for corrected flow — Correcting pressure 0.101325 MPa (default) | positive scalar

Reference temperature for corrected flow — Correcting temperature 288.15 K (default) | positive scalar

Reference relative humidity for corrected flow — Correcting relative humidity 0 (default) | scalar in the range [0,1]

Mechanical efficiency — Efficiency of conversion to torque 0.9 (default) | positive scalar in the range [0,1]

Model water vapor condensation — Option to model water vapor condensation off (default) | on

Relative humidity at saturation — Relative humidity above which condensation occurs 1 (default) | positive scalar

Dependencies

Fraction of condensate entrained as water droplets — Fraction of condensate in water droplets 1 (default) | scalar in the range [0,1]

Dependencies

Inlet area at port A — Turbine inlet area 1 m^2 (default) | positive scalar

Outlet area at port B — Turbine outlet area 1 m^2 (default) | positive scalar

Extended Capabilities

C/C++ Code Generation Generate C and C++ code using Simulink® Coder™.

Version History

See Also

VN — Nozzle opening fraction, unitless
physical signal

W — Moist air condensation rate, kg/s
physical signal

A — Moist air inlet
moist air

B — Moist air outlet
moist air

C — Turbine case
mechanical translational

R — Turbine shaft
mechanical translational

Turbine map parameterization — Performance parameterization
`Analytical - Nominal pressure ratio and corrected mass flow rate` (default) | `Tabulated data - Flow rate and efficiency vs. pressure ratio` | `Tabulated data - Flow rate and efficiency vs. corrected speed and pressure ratio`

Model variable nozzle — Whether to enable the variable nozzle input port
`Off` (default) | `On`

Minimum nozzle opening fraction — Minimum opening fraction
`1e-3` (default) | positive scalar in the range (0,1]

Maximum nozzle opening fraction — Maximum opening fraction
`1` (default) | positive scalar in the range (0,1]

Corrected speed index vector, N — Tabulated data shaft speed indices
`100 .* [50, 60, 70, 80, 90, 100, 110]` rpm (default) | vector of positive scalars

Nominal pressure ratio — Pressure ratio value
`2` (default) | positive scalar

Nominal corrected mass flow rate — Corrected mass flow rate value
`48` kg/s (default) | positive scalar

Pressure ratio vector, pr — Vector of pressure ratios
`[1.251, 1.345, 1.442, 1.521, 1.596, 1.692, 1.849, 1.972, 2.1, 2.173, 2.259, 2.3424]` (default) | vector of positive scalars

Corrected mass flow rate vector, mdot(pr) — Vector of corrected mass flow rate values
`[39.439, 43.01, 45.556, 46.801, 47.792, 48.388, 48.634, 48.67, 48.689, 48.747, 48.825, 48.912]` kg/s (default) | vector of positive scalars

Pressure ratio table, pr(N,beta) — Turbine map pressure ratio data
M-by-N matrix (default)

Corrected mass flow rate table, mdot(N,beta) — Turbine map corrected mass flow rate data
M-by-N matrix (default)

Constant isentropic efficiency — Isentropic efficiency value
`0.8` (default) | positive scalar

Pressure ratio vector, pr — Vector of pressure ratios
`[1.252, 1.328, 1.425, 1.544, 1.642, 1.757, 1.873, 2.005, 2.1, 2.204, 2.248, 2.28]` (default) | vector of positive scalars

Isentropic efficiency vector, eta(pr) — Vector of isentropic efficiencies
`[.559, .61, .673, .741, .788, .835, .869, .895, .908, .899, .854, .751]` (default) | vector of elements in the range (0,1]

Pressure ratio table, pr(N,beta) — Turbine map pressure ratio data
M-by-N matrix (default)

Isentropic efficiency table, eta(N,beta) — Turbine map isentropic efficiency data
M-by-N matrix (default)

Reference pressure for corrected flow — Correcting pressure
`0.101325` MPa (default) | positive scalar

Reference temperature for corrected flow — Correcting temperature
`288.15` K (default) | positive scalar

Reference relative humidity for corrected flow — Correcting relative humidity
`0` (default) | scalar in the range [0,1]

Mechanical efficiency — Efficiency of conversion to torque
`0.9` (default) | positive scalar in the range [0,1]

Model water vapor condensation — Option to model water vapor condensation
`off` (default) | `on`

Relative humidity at saturation — Relative humidity above which condensation occurs
`1` (default) | positive scalar

Fraction of condensate entrained as water droplets — Fraction of condensate in water droplets
`1` (default) | scalar in the range [0,1]

Inlet area at port A — Turbine inlet area
`1` m^2 (default) | positive scalar

Outlet area at port B — Turbine outlet area
`1` m^2 (default) | positive scalar

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.