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Combustion Chambers Questions and Answers

31.

Air enters a combustor at 700 K and leaves at 1500 K, with \( c_p = 1150 \ \mathrm{J/(kg\,K)} \) for the products. The heat added per kilogram is approximately

Answer: A

Correct answer: 920 kJ/kg

\[ q = c_p \Delta T = 1150 \times (1500 - 700) \] \[ = 1150 \times 800 = 920\,000\ \mathrm{J/kg} = 920\ \mathrm{kJ/kg.} \] Note that the temperature difference is what matters, so the same answer follows whether the temperatures are in kelvin or Celsius. Using the exit temperature alone gives 1725 kJ/kg, which is the distractor.

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32.

A combustor exit has a mean temperature of 1500 K, a peak of 1650 K and an inlet of 700 K. The pattern factor \( (T_{max}-T_{mean})/(T_{mean}-T_{inlet}) \) is

Answer: B

Substituting gives \( (1650-1500)/(1500-700) = 150/800 \). Values around 0.15 to 0.25 are typical, and reducing the figure lengthens turbine blade life directly because the hottest blade sets the life of the whole row.

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33.

Air entering a combustor is split 20 per cent to the primary zone, 20 per cent intermediate and the rest to dilution and cooling. With \( 60 \ \mathrm{kg/s} \) total, the dilution and cooling flow is

Answer: C

The remaining fraction is 60 per cent, giving \( 0.6 \times 60 = 36 \) kilograms per second. The large share devoted to cooling and dilution is exactly why the overall mixture is so much leaner than the primary zone's.

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34.

A primary zone receives \( 12 \ \mathrm{kg/s} \) of air with a fuel flow of \( 0.8 \ \mathrm{kg/s} \). Its local air-fuel ratio is

Answer: D

Dividing gives 15 to 1, essentially stoichiometric for kerosene. That is precisely the point of dividing the air: the zone where combustion must be self sustaining burns at the ratio that gives the fastest and hottest flame.

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35.

A chamber has a residence time of 4 milliseconds at cruise. At idle the mass flow falls to a quarter with the same volume, giving a residence time of approximately

Answer: A

Residence time varies inversely with mass flow for a fixed volume, so quartering the flow quadruples it. The longer time helps completeness at idle but the low pressure and temperature there work against it, which is why carbon monoxide peaks at idle regardless.

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36.

A combustor delivers 1500 K where the turbine limit is 1450 K. The required reduction in exit temperature is

Answer: B

Correct answer: 50 K, about 3.3 per cent

The difference is \( 1500 - 1450 = 50 \) K, and as a fraction of the delivered temperature \[ \frac{50}{1500} = 0.033 = 3.3\ \text{per cent.} \] Taking it as a fraction of 1450 gives 3.4 per cent, which is the other option offered - the base must be stated, and here it is the temperature to be reduced.

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37.

Nitrogen oxide formation roughly doubles for every 40 K rise in flame temperature. A 120 K rise would increase it by a factor of about

Answer: C

Correct answer: 8

A rise of 120 K is three intervals of 40 K, and each doubles the output, so \[ 2^3 = 8. \] The exponential dependence is why nitrogen oxide emission is so sensitive to peak flame temperature, and why every low-emission combustor design - lean premixed, staged, rich-quench-lean - works by holding that temperature down.

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38.

A combustor operates at 25 atmospheres at take-off and 5 at high altitude cruise idle. The pressure ratio between the two conditions is

Answer: D

Correct answer: 5

\[ \frac{25}{5} = 5. \] The range matters because combustion behaviour changes with pressure: at the low pressure of high altitude idle the reaction rates fall, the fuel atomises less well and the weak extinction limit narrows, which is precisely why altitude relight is the demanding case rather than take-off.

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39.

A film cooling slot admits 3 per cent of the total air flow and there are eight such slots. The cooling air fraction is

Answer: A

Multiplying gives \( 8 \times 3 = 24 \) per cent of the total flow devoted to wall cooling. As turbine entry temperatures rise this share must fall, which is exactly why effusion cooling has displaced simple film slots.

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40.

Fuel flow rises from \( 0.30 \ \mathrm{kg/s} \) at idle to \( 1.20 \ \mathrm{kg/s} \) at take-off while airflow rises from 15 to \( 60 \ \mathrm{kg/s} \). The overall air-fuel ratio

Answer: B

Both quantities have risen by the same factor of four, so the ratio is unchanged at 50 to 1. Real engines do not hold it constant, and the way it varies across the range is what makes idle and take-off such different combustion problems.

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