Gas Cooling Heat Loss Calculator

Detailed Description

This calculator estimates the heat removed by gas cooling systems, using flow rate, gas density, inlet and outlet temperatures, specific heat, and a correction factor. The algorithm is suitable for modeling cooling losses in industrial furnaces, ovens, and similar systems, for gases including air.

The calculation follows a top-down approach:

1. Total Heat Loss - Calculate heat removed by gas based on flow rate, density, specific heat, and temperature rise

Total Gas Cooling Heat Loss

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Total heat loss due to gas cooling.

The heat loss is calculated by multiplying the gas flow rate, density, specific heat, temperature rise, and correction factor. The factor of 60 converts from standard cubic feet per minute to standard cubic feet per hour.

\begin{equation}\label{eq:gas-cooling-heat-loss} Q_\text{cool} = FR \cdot 60 \cdot \rho_{g,lb/ft^3} \cdot SH \cdot \Delta T \cdot CF\end{equation}

Symbols

\(Q_\text{cool}\)	Gas cooling heat loss \([\unit{ \btu\per\hour}]\)
\(FR\)	Gas flow rate \([\unit{ \cubicFoot\per\minute}]\)
\(60\)	Minutes per hour (SCFM to SCFH conversion) - see physics::conversions::kMinutesPerHour \([\unit{ \unitless}]\)
\(\rho_{g,lb/ft^3}\)	Gas density \([\unit{ \pound\per\cubicFoot}]\)
\(SH\)	Specific heat of gas \([\unit{ \btu\per\pound\degreeFahrenheit}]\)
\(\Delta T\)	Temperature rise (outlet - inlet) \([\unit{ \degreeFahrenheit}]\)
\(CF\)	Correction factor \([\unit{ \unitless}]\)

Note

For heat losses due to liquid cooling see Liquid Cooling Heat Loss Calculator or for water see Water Cooling Heat Loss Calculator.

See also

Perry's Chemical Engineers' Handbook; NIST Engineering Statistics

physics::conversions::kMinutesPerHour for time conversion

Modules
	Gas Cooling Heat Loss Formula
	Total heat loss due to gas cooling.

Files
file	gas_cooling_heat_loss.h

Namespaces
namespace	gas_cooling_heat_loss
	Calculates heat loss due to gas (including air) cooling in process heating equipment.

Functions
double	gas_cooling_heat_loss::totalHeatLoss (double flow_rate, double initial_temperature, double final_temperature, double specific_heat, double correction_factor, double gas_density)
	Calculates the total heat loss due to gas (including air) cooling in process heating equipment.

Function Documentation

totalHeatLoss()

double gas_cooling_heat_loss::totalHeatLoss	(	double	flow_rate,
		double	initial_temperature,
		double	final_temperature,
		double	specific_heat,
		double	correction_factor,
		double	gas_density
	)

This function computes the heat loss removed by a cooling gas, based on flow rate, initial temperature, final temperature, specific heat, correction factor, and gas density. The calculation assumes no phase change and uses sensible heat only.

Parameters

[in]	flow_rate	Gas volumetric flow rate \([\unit{\foot\cubed\per\minute}]\)
[in]	initial_temperature	Inlet temperature of gas \([\unit{\degreeFahrenheit}]\)
[in]	final_temperature	Outlet temperature of gas \([\unit{\degreeFahrenheit}]\)
[in]	specific_heat	Specific heat of gas \([\unit{\btu\per\scf\per\degreeFahrenheit}]\)
[in]	correction_factor	Correction factor \([\unit{\unitless}]\)
[in]	gas_density	Gas density \([\unit{\pound\per\foot\cubed}]\)

Returns

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

See also

• Gas Cooling Heat Loss Formula