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Thermal Energy Audit Questions and Answers

Answer: C

Furnace exhausts leave far hotter than a boiler's, so recovering that heat into the combustion air or into a waste heat boiler is the first measure considered. Heat in the product is the useful output rather than a loss.

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Answer: D

The lining must be brought back to temperature after every shutdown, and on an intermittent furnace that is a large share of the fuel. Lightweight ceramic fibre linings store far less and are therefore preferred for batch duty.

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Answer: A

Correct answer: a substantial and steady demand for both heat and power

Cogeneration earns its return by using the heat rejected from generating power, so it needs a real and continuous use for that heat. A site wanting power alone must dump the heat and gains nothing, and a site wanting heat alone is better served by a boiler. The steadiness matters as much as the size, since a plant sized for a peak and run at part load rarely pays back.

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Answer: B

The fuel is burnt at high temperature to drive a turbine or engine and the exhaust, still hot, supplies the process. A bottoming cycle reverses the order and is used where the process itself needs the highest temperature.

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35.

A boiler raises 5000 kg/h of steam with an enthalpy rise of 2700 kJ/kg, burning 400 kg/h of oil of net calorific value 42 MJ/kg. Its efficiency is about

Answer: C

Correct answer: 80 per cent

\[ \eta = \frac{5000 \times 2700}{400 \times 42{,}000} = \frac{13{,}500{,}000}{16{,}800{,}000} = 0.804 \approx 80\%. \] This is the direct method: useful heat in the steam over energy in the fuel. It is quick and needs only two measurements, but it says nothing about where the missing 20 per cent went - which is what the indirect method is for.

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36.

A flue gas mass of 14 kg per kg of fuel leaves 180 \( ^\circ \)C above ambient, with a specific heat of 1.0 kJ/kgK and a fuel of 42 MJ/kg. The dry flue gas loss is about

Answer: D

Correct answer: 6 per cent

\[ \frac{m c_p \Delta T}{\mathrm{NCV}} = \frac{14 \times 1.0 \times 180}{42{,}000} = \frac{2520}{42{,}000} = 0.06 = 6\%. \] The dry flue gas loss is usually the largest single loss in a well-run boiler, and both of its drivers - the gas mass and the stack temperature above ambient - are within the operator’s control.

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37.

Reducing that flue gas mass from 14 to 11 kg per kg of fuel, other things equal, changes the dry flue gas loss to about

Answer: A

Correct answer: 4.7 per cent

\[ \frac{11 \times 1.0 \times 180}{42{,}000} = \frac{1980}{42{,}000} = 0.0471 \approx 4.7\%. \] The loss is directly proportional to the gas mass, so cutting the mass by a fifth cuts the loss by a fifth - 1.3 percentage points of boiler efficiency recovered by air trimming alone, which costs nothing but attention.

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38.

Feedwater of 300 ppm total dissolved solids is used in a boiler whose limit is 3000 ppm. The blowdown required is about

Answer: B

The solids entering must leave, so the blowdown fraction is the feed concentration divided by the boiler concentration, that is a tenth. Halving the feed solids by better treatment would halve the blowdown and its heat loss.

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39.

A boiler at 10 bar blows down 500 kg/h of water whose enthalpy is 763 kJ/kg above the make-up temperature. The heat discarded is about

Answer: C

Correct answer: 106 kW

\[ \frac{500 \times 763}{3600} = \frac{381{,}500}{3600} = 106\ \mathrm{kW}. \] The division by 3600 converts kJ/h to kW and is where this calculation is usually got wrong. Note that the heat is recoverable: a blowdown heat exchanger can return most of it to the make-up water.

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40.

A bare surface at 60 \( ^\circ \)C in a 30 \( ^\circ \)C room loses, with a coefficient of 10 W/m\( ^2 \)K, about

Answer: D

Correct answer: 300 W/m\( ^2 \)

\[ q = h\,\Delta T = 10 \times (60-30) = 300\ \mathrm{W/m}^2. \] Only the temperature difference enters, not the absolute temperatures. Spread over the area of an uninsulated steam main this is a large and entirely continuous loss, which is why surface temperature surveys are a routine part of a thermal audit.

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