Gas Load Charge Material Heat Required Calculator

Detailed Description

The following formulas describe the calculation of total heat required for a gas load/charge material, including sensible heat for gas and vapor, heat of reaction, and additional heat. Each step is documented with its own formula and symbol table.

The calculation follows a top-down approach:

1. Total Heat Required - Sum of sensible heat for gas, vapor, reaction heat, and additional heat
2. Sensible Heat for Gas - Heat required to raise temperature of non-vapor portion
3. Sensible Heat for Vapor - Heat required to raise temperature of vapor portion
4. Heat of Reaction - Endothermic reaction heat if applicable

Total Heat Required

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\begin{equation}\label{eq:gas-load-charge-material-total-heat-required-cpp} Q_{total} = Q_{gas} + Q_{vapor} + Q_{reaction} + Q_{additional}\end{equation}

Symbols

\(Q_{total}\)	Total heat required \([\unit{ \btu\per\hour}]\)
\(Q_{gas}\)	Sensible heat for gas \([\unit{ \btu\per\hour}]\)
\(Q_{vapor}\)	Sensible heat for vapor \([\unit{ \btu\per\hour}]\)
\(Q_{reaction}\)	Heat of reaction \([\unit{ \btu\per\hour}]\)
\(Q_{additional}\)	Additional heat required \([\unit{ \btu\per\hour}]\)

Sensible Heat for Gas

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\begin{equation}\label{eq:gas-load-charge-material-sensible-heat-gas-cpp} Q_{gas} = (1 - f_{vapor}) \cdot m_{feed} \cdot C_{p,gas} \cdot (T_{discharge} - T_{initial})\end{equation}

Symbols

\(Q_{gas}\)	Sensible heat for gas \([\unit{ \btu\per\hour}]\)
\(f_{vapor}\)	Fraction of vapor in gas mixture \([\unit{ 1}]\)
\(m_{feed}\)	Feed rate for gas mixture \([\unit{ \pound\per\hour}]\)
\(C_{p,gas}\)	Specific heat of gas \([\unit{ \btu\per\pound\degreeFahrenheit}]\)
\(T_{discharge}\)	Discharge temperature \([\unit{ \degreeFahrenheit}]\)
\(T_{initial}\)	Initial temperature \([\unit{ \degreeFahrenheit}]\)

Sensible Heat for Vapor

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\begin{equation}\label{eq:gas-load-charge-material-sensible-heat-vapor-cpp} Q_{vapor} = f_{vapor} \cdot m_{feed} \cdot C_{p,vapor} \cdot (T_{discharge} - T_{initial})\end{equation}

Symbols

\(Q_{vapor}\)	Sensible heat for vapor \([\unit{ \btu\per\hour}]\)
\(f_{vapor}\)	Fraction of vapor in gas mixture \([\unit{ 1}]\)
\(m_{feed}\)	Feed rate for gas mixture \([\unit{ \pound\per\hour}]\)
\(C_{p,vapor}\)	Specific heat of vapor \([\unit{ \btu\per\pound\degreeFahrenheit}]\)
\(T_{discharge}\)	Discharge temperature \([\unit{ \degreeFahrenheit}]\)
\(T_{initial}\)	Initial temperature \([\unit{ \degreeFahrenheit}]\)

Heat of Reaction

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\begin{equation}\label{eq:gas-load-charge-material-heat-of-reaction-cpp} Q_{reaction} = \begin{cases} m_{feed} \cdot f_{reacted} \cdot H_{reaction} & \text{if endothermic} \\ 0 & \text{if exothermic or none} \end{cases}\end{equation}

Symbols

\(Q_{reaction}\)	Heat of reaction \([\unit{ \btu\per\hour}]\)
\(m_{feed}\)	Feed rate for gas mixture \([\unit{ \pound\per\hour}]\)
\(f_{reacted}\)	Fraction of feed gas reacted \([\unit{ 1}]\)
\(H_{reaction}\)	Heat of reaction \([\unit{ \btu\per\pound}]\)

See also

Gas Load Charge Material Database

Modules
	Total Heat Required Formula
	Sensible Heat for Gas Formula
	Sensible Heat for Vapor Formula
	Heat of Reaction Formula

Files
file	gas_load_charge_material_heat_required.h

Namespaces
namespace	gas_load_charge_material_heat_required
	Calculates total heat required for a gas load/charge material.

Functions
double	gas_load_charge_material_heat_required::totalHeatRequired (LoadChargeMaterial::ThermicReactionType thermic_reaction_type, double specific_heat_gas, double feed_rate, double percent_vapor, double initial_temperature, double discharge_temperature, double specific_heat_vapor, double percent_reacted, double reaction_heat, double additional_heat)
	Calculates the total heat required for a gas load/charge material.

Function Documentation

totalHeatRequired()

double gas_load_charge_material_heat_required::totalHeatRequired	(	LoadChargeMaterial::ThermicReactionType	thermic_reaction_type,
		double	specific_heat_gas,
		double	feed_rate,
		double	percent_vapor,
		double	initial_temperature,
		double	discharge_temperature,
		double	specific_heat_vapor,
		double	percent_reacted,
		double	reaction_heat,
		double	additional_heat
	)

Parameters

[in]	thermic_reaction_type	Thermic reaction type (endothermic, exothermic, or none)
[in]	specific_heat_gas	Specific heat of gas \([\unit{\btu\per\pound\degreeFahrenheit}]\)
[in]	feed_rate	Feed rate for gas mixture \([\unit{\pound\per\hour}]\)
[in]	percent_vapor	Vapor in gas mixture (as percent, e.g., 10 for 10%)
[in]	initial_temperature	Initial temperature \([\unit{\degreeFahrenheit}]\)
[in]	discharge_temperature	Discharge temperature \([\unit{\degreeFahrenheit}]\)
[in]	specific_heat_vapor	Specific heat of vapor \([\unit{\btu\per\pound\degreeFahrenheit}]\)
[in]	percent_reacted	Feed gas reacted (as percent, e.g., 5 for 5%)
[in]	reaction_heat	Heat of reaction \([\unit{\btu\per\pound}]\)
[in]	additional_heat	Additional heat required \([\unit{\btu\per\hour}]\)

Returns

Total heat required \([\unit{\btu\per\hour}]\).