Adiabatic Flame Temperature Calculator Cerfacs

Adiabatic Flame Temperature Equation:

\[ T_{ad} = T_0 + \frac{\Delta H}{\sum n_i C_{p,i}} \text{ iterative, Equilibrium combustion.} \]

Initial Temperature (T₀):

Enthalpy Change (ΔH):

Total Moles (Σnᵢ):

mol

Specific Heat Capacity (Cₚ):

J/mol·K

Adiabatic Flame Temperature (T_ad):

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1. What is Adiabatic Flame Temperature?

Adiabatic flame temperature is the theoretical temperature that combustion gases would reach if the process occurred without any heat loss to the surroundings. It represents the maximum possible temperature for a given fuel-air mixture under adiabatic conditions.

2. How Does the Calculator Work?

The calculator uses the adiabatic flame temperature equation:

\[ T_{ad} = T_0 + \frac{\Delta H}{\sum n_i C_{p,i}} \text{ iterative, Equilibrium combustion.} \]

Where:

\( T_{ad} \) — Adiabatic flame temperature (K)
\( T_0 \) — Initial temperature (K)
\( \Delta H \) — Enthalpy change of combustion (J)
\( n_i \) — Moles of component i (mol)
\( C_{p,i} \) — Specific heat capacity of component i (J/mol·K)

Explanation: The equation calculates the temperature rise by dividing the heat released during combustion by the total heat capacity of the combustion products.

3. Importance of Adiabatic Flame Temperature

Details: Adiabatic flame temperature is crucial for combustion system design, thermal efficiency analysis, emissions prediction, and material selection for high-temperature applications.

4. Using the Calculator

Tips: Enter initial temperature in Kelvin, enthalpy change in Joules, total moles, and specific heat capacity in J/mol·K. All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: Why is the calculation iterative?
A: Because specific heat capacities vary with temperature, requiring iterative calculations for accurate results in real combustion systems.

Q2: What factors affect adiabatic flame temperature?
A: Fuel composition, air-fuel ratio, initial temperature, pressure, and combustion completeness all influence the final temperature.

Q3: How does this differ from actual flame temperature?
A: Actual flame temperatures are lower due to heat losses, incomplete combustion, and dissociation effects at high temperatures.

Q4: What are typical adiabatic flame temperatures?
A: Common fuels range from 2000-2500K for hydrocarbons, with hydrogen reaching up to 3000K under optimal conditions.

Q5: When is this calculation most accurate?
A: For well-mixed, stoichiometric combustion with constant specific heats and complete combustion assumption.