Final Temperature of Combustion Gases

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SUMMARY

The discussion centers on calculating the final temperature of combustion gases from a powdered biofuel burner with a higher heating value (HHV) of 10,000 BTU/lb and a stoichiometric air requirement of 6.2 pounds of air per pound of fuel. The initial calculation suggested a final temperature of 6645.43°F, which was identified as excessively high. Experts confirmed that a more realistic final temperature for such a burner would be around 2000°F, influenced by the excess air and limitations of combustor materials, which are designed to withstand much lower temperatures than those calculated.

PREREQUISITES
  • Understanding of combustion thermodynamics
  • Familiarity with higher heating value (HHV) calculations
  • Knowledge of stoichiometric combustion principles
  • Basic concepts of heat transfer and specific heat capacity
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  • Research the concept of adiabatic flame temperature in combustion processes
  • Explore materials used in high-temperature applications, such as super alloys
  • Study the design and operation of biofuel burners
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Engineers and designers involved in combustion systems, particularly those working with biofuels, as well as researchers focused on thermal dynamics and material science in high-temperature environments.

gdgt
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Hopefully one of you guys can help me out..

I'm designing a burner that will run off powdered biofuel and I'm trying to calculate the resulting temperature after combustion. I have a higher heating value (HHV) of around 10,000 BTU/lb for the biofuel and for a complete stoichiometric combustion will need 6.2 pounds of air per pound of fuel.

My thinking is, that burning one pound of fuel will release 10,000 BTU's of energy which will heat the air. Using a simple heat balance and assuming constant specific heat:

10,000 (BTU)= 6.2 (pounds of air) * .24 (BTU/lb/F) * (T_final - 75F)

And solving for T_final...

T_final = 6645.43F

This seems way too hot so I'm pretty sure I'm doing something wrong here. I'm just looking for a rough approximation of the final temperature which I feel should be around 2000F. I'm probably using the heating value wrong and I think the final temperature might have something to do with the adiabatic flame temperature but I'm not sure. Anyone have any thoughts or recommendations?

Any help would be greatly appreciated!

Thank you
 
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You are quite right, the 6600F estimate is way too high.
You come close to that in an internal combustion process, where near stoichiometric conditions can be approximated, but a powdered biofuel burner will run with a huge excess of air with peak temperatures limited by the combustor linings.
I would be surprised if you get much over 2000F, reflecting the air flow through your combustor.
 
With a great deal of time, money, and effort the gas turbine industry has hit a limit of 3500-4000 degrees F. That requires the use of high temperature super alloys and propriety coatings. Since that is much higher than the melting point of the alloys, they also use very creative methods to cool them.

A practical limit for your application would be as stated in the last post.
 

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