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MEASUR-Tools-Suite v1.0.11
The MEASUR Tools Suite is a collection of industrial efficiency calculations written in C++ and with bindings for compilation to WebAssembly.
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The following documentation describes the formulas and algorithms used by the GasComposition class to compute gas mixture properties, combustion air requirements, and flue gas analysis. Each member function is documented with its formula and symbol table.
Calculates the specific gravity of the gas mixture.
\begin{equation}\label{eq:gas-composition-set-specific-gravity-cpp} SG = \frac{\sum_{i} MW_{i} \cdot x_{i}}{22.4 \cdot 1.205}\end{equation}
| \(SG\) | Specific gravity of mixture \([\unit{ \unitless}]\) |
| \(MW_{i}\) | Molecular weight of constituent i \([\unit{ \gram\per\mole}]\) |
| \(x_{i}\) | Volume fraction of constituent i \([\unit{ \unitless}]\) |
Calculates the stoichiometric air required for combustion.
\begin{equation}\label{eq:o2-required-air-cpp} O_{2,req} = \sum_{i} O_{2,gen,i} \cdot x_{i} \qquad\end{equation}
\begin{equation}\label{eq:gas-composition-set-stoichometric-air-cpp} Air_{stoich} = O_{2,req} \cdot \left(1 + \frac{1 - k_{O_2}}{k_{O_2}}\right)\end{equation}
| \(O_{2,req}\) | Oxygen required for combustion \([\unit{ \pound}]\) |
| \(O_{2,gen,i}\) | Oxygen generated per constituent i \([\unit{ \pound}]\) |
| \(x_{i}\) | Volume fraction of constituent i \([\unit{ \unitless}]\) |
| \(k_{O_2}\) | Volume fraction of O_2 in dry air \([\unit{ \unitless}]\) |
| \(Air_{stoich}\) | Stoichiometric air required \([\unit{ \pound}]\) |
Empirical formula to estimate excess air from flue gas O2 percentage.
\begin{equation}\label{eq:gas-composition-estimate-excess-air-from-o2-cpp} EA = \frac{8.52381 \cdot O_2}{2 - (9.52381 \cdot O_2)}\end{equation}
| \(EA\) | Excess air fraction \([\unit{ \unitless}]\) |
| \(O_2\) | Flue gas oxygen percentage \([\unit{ \unitless}]\) |
Calculates enthalpy at saturation for water vapor.
\begin{equation}\label{eq:gas-composition-calculate-enthalpy-at-saturation-cpp} h_{sat} = 1096.7 \cdot (p_{H_2O} \cdot 29.926)^{0.013}\end{equation}
| \(h_{sat}\) | Enthalpy at saturation \([\unit{ \btu\per\pound}]\) |
| \(p_{H_2O}\) | Partial pressure of water vapor \([\unit{ \atm}]\) |
Calculates saturation temperature for water vapor.
\begin{equation}\label{eq:gas-composition-calculate-saturation-temperature-cpp} T_{sat} = 36.009 \cdot \ln(p_{H_2O} \cdot 29.926) + 81.054\end{equation}
| \(T_{sat}\) | Saturation temperature \([\unit{ \degreeFahrenheit}]\) |
| \(p_{H_2O}\) | Partial pressure of water vapor \([\unit{ \atm}]\) |
Calculates the total composition weight and sets the weight fraction for each constituent.
\begin{equation}\label{eq:gas-composition-set-total-composition-weight-cpp} W_{total} = \sum_{i} W_{i} \qquad \end{equation}
\begin{equation}\label{eq:gas-composition-weight-fraction} f_{i} = \frac{W_{i}}{W_{total}}\end{equation}
| \(W_{total}\) | Total composition weight \([\unit{ \pound}]\) |
| \(W_{i}\) | Weight of constituent i \([\unit{ \pound}]\) |
| \(f_{i}\) | Weight fraction of constituent i \([\unit{ \unitless}]\) |
Calculates the heating value of the mixture by summing weighted constituent heating values.
\begin{equation}\label{eq:gas-composition-set-heating-value-cpp} HV = \sum_{i} HV_{i} \cdot f_{i}\end{equation}
| \(HV\) | Heating value of mixture \([\unit{ \btu\per\pound}]\) |
| \(HV_{i}\) | Heating value of constituent i \([\unit{ \btu\per\pound}]\) |
| \(f_{i}\) | Weight fraction of constituent i \([\unit{ \unitless}]\) |
Calculates the volumetric heating value of the mixture.
\begin{equation}\label{eq:gas-composition-set-heating-value-volume-cpp} HV_{vol} = \sum_{i} HV_{vol,i} \cdot x_{i}\end{equation}
| \(HV_{vol}\) | Volumetric heating value of mixture \([\unit{ \btu\per\cubicFoot}]\) |
| \(HV_{vol,i}\) | Volumetric heating value of constituent i \([\unit{ \btu\per\cubicFoot}]\) |
| \(x_{i}\) | Volume fraction of constituent i \([\unit{ \unitless}]\) |
Modules | |
| Total Composition Weight Formula | |
| Calculates the total composition weight and sets the weight fraction for each constituent. | |
| Heating Value Formula | |
| Calculates the heating value of the mixture by summing weighted constituent heating values. | |
| Heating Value Volume Formula | |
| Calculates the volumetric heating value of the mixture. | |
| Specific Gravity Formula | |
| Calculates the specific gravity of the gas mixture. | |
| Stoichometric Air Formula | |
| Calculates the stoichiometric air required for combustion. | |
| O2 Percentage From Excess Air Formula | |
| Calculates flue gas O2 percentage from excess air. | |
| Estimate Excess Air From O2 Formula | |
| Empirical formula to estimate excess air from flue gas O2 percentage. | |
| Calculate Enthalpy At Saturation Formula | |
| Calculates enthalpy at saturation for water vapor. | |
| Calculate Saturation Temperature Formula | |
| Calculates saturation temperature for water vapor. | |
| Adjusted Flue Gas O2 For Calc Error Formula | |
| Iteratively adjusts calculated flue gas O2 to minimize error with target excess air. | |
| Get Mass Flue Gas Components Formula | |
| Calculates mass of flue gas components for a given excess air. | |
Files | |
| file | gas_composition.h |
Namespaces | |
| namespace | gas_composition |
| Contains functions for gas composition calculations. | |
Classes | |
| class | gas_composition::GasComposition |
| Represents a fuel gas mixture and its properties for process heat calculations. More... | |
1.9.8