knightshock.absorption

absorbance(X, sigma, T, P, L=1)

Calculates the absorption for a species from the Beer-Lambert law.

Parameters:

• X (float | npt.NDArray[float]) –

  Species mole fraction.

• sigma (float | npt.NDArray[float]) –

  Absorption cross-section [cm²].

• T (float | npt.NDArray[float]) –

  Absolute temperature [K].

• P (float | npt.NDArray[float]) –

  Absolute pressure [Pa].

• L (float) –

  Path length [cm] (optional).

Returns:

• A( float | npt.NDArray[float] ) –

  Absorbance.

absorption_cross_section(A, X, T, P, L)

Calculates the species mole fraction from the Beer-Lambert law.

Parameters:

• A (float | npt.NDArray[float]) –

  Absorbance.

• X (float | npt.NDArray[float]) –

  Species mole fraction.

• T (float | npt.NDArray[float]) –

  Absolute temperature [K].

• P (float | npt.NDArray[float]) –

  Absolute pressure [Pa].

• L (float) –

  Path length [cm].

Returns:

• sigma( float | npt.NDArray[float] ) –

  Absorption cross-section [cm²].

species_mole_fraction(A, sigma, T, P, L)

Calculates the species mole fraction from the Beer-Lambert law.

Parameters:

• A (float | npt.NDArray[float]) –

  Absorbance.

• sigma (float | npt.NDArray[float]) –

  Absorption cross-section [cm²].

• T (float | npt.NDArray[float]) –

  Absolute temperature [K].

• P (float | npt.NDArray[float]) –

  Absolute pressure [Pa].

• L (float) –

  Path length [cm].

Returns:

• X( float | npt.NDArray[float] ) –

  Species mole fraction.

multi_species_mole_fraction(A, sigma, T, P, L)

Experimental

Calculates the mole fractions of N species from absorbance data at N wavelengths given absorption cross-sections for each species at each wavelength. For mole fraction time histories, absorption cross-sections, temperature, and pressure can be constant or varying with time.

Parameters:

• A (npt.NDArray[float]) –

  Absorbance at each wavelength (N, ...).

• sigma (npt.NDArray[float]) –

  Species absorption cross-sections [cm^2] at each wavelength (N, N, ...).

• T (float | npt.NDArray[float]) –

  Absolute temperature [K].

• P (float | npt.NDArray[float]) –

  Absolute pressure [Pa].

• L (float) –

  Path length [cm].

Returns:

• X( npt.NDArray[float] ) –

  Species mole fractions (N, ...).