Modelica.Media.Examples.SolveOneNonlinearEquation

Demonstrate how to solve one non-linear algebraic equation in one unknown

Information

This package demonstrates how to solve one non-linear algebraic equation in one unknown with function solveOneNonlinearEquation.

Extends from Modelica.Icons.ExamplesPackage (Icon for packages containing runnable examples).

Package Content

Name	Description
Inverse_sine	Solve y = A*sin(w*x) for x, given y
Inverse_sh_T	Solve h = h_T(T), s = s_T(T) for T, if h or s is given for ideal gas NASA
InverseIncompressible_sh_T	Inverse computation for incompressible media
Inverse_sh_TX	Solve h = h_TX(TX) for T, if h is given for ideal gas NASA

Modelica.Media.Examples.SolveOneNonlinearEquation.Inverse_sine

Solve y = A*sin(w*x) for x, given y

Information

This models solves the following non-linear equation

y = A*sin(w*x); -> determine x for given y

Translate model "Inverse_sine" and simulate for 0 sec. The result is printed to the output window.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Modelica.Media.Examples.SolveOneNonlinearEquation.Inverse_sh_T

Solve h = h_T(T), s = s_T(T) for T, if h or s is given for ideal gas NASA

Information

This models computes the temperature Th for predefined specific enthalpy h1 via numerical inversion of function Modelica.Media.IdealGases.Common.Functions.h_T. The specific enthalpy h2 is computed as check variable from temperature Th and must be identical to h1.

In an analogous manner, the temperature Ts is computed for predefined specific entropy s1 via numerical inversion of function Modelica.Media.IdealGases.Common.Functions.s0_T. The specific entropy s2 is computed as check variable from temperature Ts and must be identical to s1.

The numerical computation of the inverse function is performed by function Modelica.Math.Nonlinear.solveOneNonlinearEquation in both cases.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Connectors

Modelica.Media.Examples.SolveOneNonlinearEquation.InverseIncompressible_sh_T

Inverse computation for incompressible media

Information

This models computes the temperature Th for predefined specific enthalpy h1 via numerical inversion of function Modelica.Media.Incompressible.TableBased.h_T. The specific enthalpy h2 is computed as check variable from temperature Th and must be identical to h1.

In an analogous manner, the temperature Ts is computed for predefined specific entropy s1 via numerical inversion of function Modelica.Media.Incompressible.TableBased.s_T. The specific entropy s2 is computed as check variable from temperature Ts and must be identical to s1.

The numerical computation of the inverse function is performed by function Modelica.Math.Nonlinear.solveOneNonlinearEquation in both cases.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Connectors

Modelica.Media.Examples.SolveOneNonlinearEquation.Inverse_sh_TX

Solve h = h_TX(TX) for T, if h is given for ideal gas NASA

Information

This models computes the temperature Th for predefined specific enthalpy h1 via numerical inversion of function Modelica.Media.IdealGases.Common.Functions.h_T. The specific enthalpy h2 is computed as check variable from temperature Th and must be identical to h1.

In an analogous manner, the temperature Ts is computed for predefined specific entropy s1 via numerical inversion of function Modelica.Media.IdealGases.Common.Functions.s0_T. The specific entropy s2 is computed as check variable from temperature Ts and must be identical to s1.

The numerical computation of the inverse function is performed by function Modelica.Math.Nonlinear.solveOneNonlinearEquation in both cases.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Connectors