Heat Engines - Spring 2019 - 3 slides

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1/3/2019 1 Heat Engines ENSC 220 Heat Engines A heat engine typically uses energy provided in the form of heat to do work and then exhausts the heat which cannot be used to do work. Thermodynamics is the study of the relationships between heat and work. The first law and second law of thermodynamics constrain the operation of a heat engine. The first law is the application of conservation of energy to the system The second sets limits on the possible efficiency of the machine and determines the direction of energy flow. 1 Heat Engine Diagram Q out = Q cold Q in = Q hot work T hot (T in ) T cold (T out ) 1
1/3/2019 2 Work can be converted to Heat Heat can be used to do work 1 Second Law It is not possible to convert all heat into work. Some heat must be lost. 1 Efficiency 𝐸??𝑖?𝑖???𝑦 𝜂 = 𝐸????𝑦 ?????? 𝐸????𝑦 𝐼???? 𝐸??𝑖?𝑖???𝑦 𝜂 = ????? ?????? ????? 𝐼???? 1
1/3/2019 3 Maximum Efficiency Sadi Carnot stated that the maximum theoretical efficiency of a heat engine is fixed by the absolute temperature difference between the high- temperature (T 2 )and low-temperature (T 1 ) heat sources in the engine. Carnot Cycle: h = (T 2 T 1 )/T 2 1 Heat engines The Carnot cycle represents an ideal heat engine with maximum efficiency. Temperatures must be absolute (Rankine or Kelvin) hot T cold T hot T in Q out Q in Q in Q out W max h 1 Heat Engines 𝜂 % = 1 − ? 𝐶𝑜𝑙𝑑 ? 𝐻𝑜𝑡 × 100 𝜂 % = ? 𝐻𝑜𝑡 −? 𝐶𝑜𝑙𝑑 ? 𝐻𝑜𝑡 × 100 Or
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1/3/2019 4 Example Steam from a boiler at 820 K into a condenser (turbine) with water temperature at 300 K. 1 𝜂 % = 1 − ? 𝐶𝑜𝑙𝑑 ? 𝐻𝑜𝑡 × 100 𝜂 % = 1 − 300 820 × 100 = 63.4% http://hyperphysics.phy-astr.gsu.edu/hbase/thermo/heaeng.html 1
1/3/2019 5 Example Problem (compost) An inventor wants to build a machine to turn compost, powered by a heat engine that uses the hot compost (140 o F) as a high temperature reservoir, and outdoor air (15°F) as the low temperature reservoir. 1 F° + 459 = Rankine C° + 273 = Kelvin (F° - 32) x 5/9 = C° Heat Engine Diagram Q out = Q cold Q in = Q hot Work T hot (T in ) = 140 o F = 60 o C = 333 o K T cold (T out ) = 15 o F = -9.4 o C = 263 o K 1 Example Problem (compost) 1 𝜂 % = 1 − 263 333 × 100 = 21%
1/3/2019 6 The Thermal Bottleneck http://hyperphysics.phy-astr.gsu.edu/hbase/thermo/seclaw2.html#c1 1 Thermodynamic Cycles External Combustion Rankine Organic Rankine Kalina Sterling Internal Combustion Brayton Otto Diesel Combined Cycle (combination of Brayton and Rankine cycles) 1 Rankine Cycle 1
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1/3/2019 7 Steam Turbine http://irrationaltheorist.blogspot.com 3 Brayton Cycle A thermodynamic cycle (also variously called the Joule or complete expansion diesel cycle) consisting of two constant- pressure (isobaric) processes interspersed with two reversible adiabatic (isentropic) processes. The thermal efficiency for a given gas, air, is solely a function of the ratio of compression. This is also the case with the Otto Cycle. For the diesel cycle with incomplete expansion, the thermal efficiency is lower. The Brayton cycle, with its high inherent thermal efficiency, requires the maximum volume of gas flow for a given power output. The Otto and diesel cycles require much lower gas flow rates, but have the disadvantage of higher peak pressures and temperatures. These conflicting elements led to many designs, all attempting to achieve practical compromises. With the development of fluid acceleration devices for the compression and expansion of gases, the Brayton cycle found mechanisms which could economically handle the large volumes of working fluid. This is perfected in the gas turbine (jet engine) power plant. 2 Brayton Cycle 1
1/3/2019 8 Combined Cycle Plants Combined cycle is a term used when a power producing engine or plant employs more than one thermodynamic cycle. Heat engines are only able to use a portion of the energy their fuel generates (usually less than 30%). The remaining heat from combustion is generally wasted. Combining two or more "cycles" such as the Brayton Cycle and Rankine Cycle results in improved overall efficiency. In a combined cycle power plant (CCPP), or combined cycle gas turbine (CCGT) plant, a gas turbine generator generates electricity and the waste heat from the gas turbine is used to make steam to generate additional electricity via a steam turbine; this last step enhances the efficiency of electricity generation. Most new gas power plants are of this type. In a thermal power plant, high-temperature heat as input to the power plant, usually from burning of fuel, is converted to electricity as one of the outputs and low-temperature heat as another output. As a rule, in order to achieve high efficiency, the temperature of the input heat should be as high as possible and the temperature of the output heat as low as possible (Carnot efficiency). This is achieved by combining the Rankine (steam) and Brayton (gas) thermodynamic cycles. 2 Combined Cycle 1 Combined Cycle 1
1/3/2019 9 Otto Cycle Otto cycle The basic thermodynamic cycle for the prevalent automotive type of internal combustion engine. The engine uses a volatile liquid fuel (gasoline) or a gaseous fuel to carry out the theoretic cycle shown in the figure. The cycle consists of two isentropic (reversible adiabatic) phases interspersed between two constant-volume phases. The theoretic cycle should not be confused with the actual engine built for such service as automobiles, motor boats, aircraft, lawn mowers, and other small self- contained power plants. The thermodynamic working fluid in the cycle is subjected to isentropic compression, phase 1 2; constant-volume heat addition, phase 2 3; isentropic expansion, phase 3 4; and constant-volume heat rejection (cooling), phase 4 1. 2 Otto Cycle 1 Diesel Cycle 1
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1/3/2019 10 1 Steam Turbine www.endress.com 1 Combined Cycle Heat Plant 1
1/3/2019 11 0 10 20 30 40 50 60 70 80 90 100 Hydro power plant Tidal power plant Large gas fired CCGT power plant Melted carbonates fuel cell (MCFC) Pulverised coal boilers with ultra-critical steam parameters Solid oxide fuel cell (SOFC) Coal fired IGCC Atmospheric Circulating Fluidised Bed Combustion (CFBC) Pressurised Fluidised Bed Combustion (PFBC) Large gas turbine (MW range) Steam turbine coal-fired power plant Steam turbine fuel-oil power plant Wind turbine Nuclear power plant Biomass and biogas Waste-to-electricity power plant Diesel engine as decentralised CHP unit (electrical share) Small and micro turbines (up to 100 kW) Photovoltaic cells Geothermal power plant Solar power tower Efficiency (%) KEMA 1 The Second Law and Heat Engines Review 1 1. Heat will not flow spontaneously from a cold object to a hot object. 2. Any system which is free of external influences becomes more disordered with time. This disorder can be expressed in terms of the quantity called entropy. 3. You cannot create a heat engine which extracts heat and converts it all to useful work. 4. There is a thermal bottleneck which constrains devices which convert stored energy to heat and then use the heat to accomplish work. For a given mechanical efficiency of the devices, a machine which includes the conversion to heat as one of the steps will be inherently less efficient than one which is purely mechanical. http://hyperphysics.phy-astr.gsu.edu/hbase/thermo/seclaw.html#c1 Heat Rate Term used in the Electric Utility industry to compare efficiency between thermal generation systems # of BTU of energy input per kilowatt hour of electricity generated A heat rate of 10,300 BTU = 33% efficiency 3412 ??? ?𝑊ℎ 1 ?𝑊ℎ 10,300 ??? = 0.33 1
1/3/2019 12 Average Operating Heat Rate 2003 through 2013 (Btu per Kilowatthour) Year Coal Petroleum Natural Gas Nuclear 2003 10297 10610 9207 10422 2004 10331 10571 8647 10428 2005 10373 10631 8551 10436 2006 10351 10809 8471 10435 2007 10375 10794 8403 10489 2008 10378 11015 8305 10452 2009 10414 10923 8160 10459 2010 10415 10984 8185 10452 2011 10444 10829 8152 10464 2012 10498 10991 8039 10479 2013 10459 10713 7948 10449 1 Not Heat Engines Fuel Cells Animal Muscles Electric Motors 2
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1/3/2019 13 Refrigeration: Refrigerator, air conditioner is heat engine run in reverse. Q cold is extracted (Q in ) and Q hot is given off (Q out ). Work must be input to operate the system. W out = Q in - Q out W in = - W out = Q out - Q in W in = Q hot - Q cold 1 Refrigeration is Heat Engine in Reverse Q out = Q cold Q in = Q hot work T hot T cold 1
1/3/2019 14 Coefficient of Performance ??? = 𝐸?𝑒𝑟𝑔𝑦 ?????? ???𝑙𝑖?𝑔 ?𝑟 ?𝑒𝑎?𝑖?𝑔 𝐸?𝑒𝑟𝑔𝑦 𝑖???? Commonly energy output is heat or cold, input is electricity 1 Efficiency is desired output (Q cold ) divided by input (work). Refrigeration Coefficient of Performance (C.O.P.): For refrigeration: h = C.O.P. cold hot cold in out in max T T T Q Q Q in cold W Q CoP 1 Coefficient of performance (COP) - Can be higher than 1 since is heat output over work. Heat is moved not changed in form Work Input 1
1/3/2019 15 Calculate COP for this Example Work Input 1 Refrigeration Example Heat Source is 45°F cold side Heat Sink is 75°F hot side Maximum coefficient of performance is 16.5 For each unit of work in you get 16.5 units of heat moved cold hot cold in out in max T T T Q Q Q in cold W Q CoP 5 . 16 80 2 97 2 K 280 max K K W Q CoP in cold 1 Similar to refrigerator when cooling. When heating, desired output is Q out (Q hot ). Thus: Heat Pumps cold hot hot in out out max T T T Q Q Q in hot W Q CoP 1 Coefficient of performance (COP) - Can be higher than 1 since is heat output over work. Heat is moved not changed in form
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1/3/2019 16 Heat Pump Example Heat Source is 45°F cold side Heat Sink is 75°F hot side Maximum coefficient of performance is 17.5 For each unit of work in you get 17.5 units of heat moved 5 . 17 80 2 97 2 K 297 max K K W Q CoP in cold 1 cold hot hot in out out max T T T Q Q Q in hot W Q CoP CoP real world values Typical values for CoP of heat pumps are 2-4 1 Other Measures of Performance Energy Efficiency Ratio, EER 𝐸𝐸? = ?????? ????𝑖?? ?????𝑦 𝑖? ??? 𝐼???? ??????𝑖?𝑎? ?????𝑦 𝑖? 𝑊ℎ Under Specific Test Conditions The higher the EER the less power is used when running 1
1/3/2019 17 CoP and EER Coefficient of Performance CoP = 𝑂????? ???𝑙𝑖?𝑔 ????? 𝐸𝑙𝑒𝑐?𝑟𝑖𝑐𝑎𝑙 Energy Efficiency Ratio 𝐸𝐸? = 𝑂????? 𝑐??𝑙𝑖?𝑔 𝑒?𝑒𝑟𝑔𝑦 𝑖? ??? ????? 𝑒𝑙𝑒𝑐?𝑟𝑖𝑐𝑎𝑙 𝑒?𝑒𝑟𝑔𝑦 𝑖? 𝑊ℎ CoP real world values Using EER to calculate real world CoP CoP = 𝑂????? ???𝑙𝑖?𝑔 ????? 𝐸𝑙𝑒𝑐?𝑟𝑖𝑐𝑎𝑙 𝐸𝐸? ??? 𝑊ℎ × 1055? ??? × 𝑊ℎ 3600 ? = 0.293 COP = ERR x 0.293 So an EER of 13 = CoP of 3.8 Alternatively EER = CoP x 3.41 Typical values for CoP of heat pumps are 2-4 1 Other Measures of Performance Seasonal Energy Efficiency Ratio, SEER ?𝐸𝐸? = ?????? ????𝑖?? ?????𝑦 𝑖? ??? ???? 𝑎 ??𝑎??? 𝐼???? ??????𝑖?𝑎? ?????𝑦 𝑖? 𝑊ℎ ???𝑖?? ?ℎ? ?𝑎?? ??𝑎??? Units Btu/W/h Rather than a single moment this is an estimate over a set of conditions similar to a cooling season A unit with an SEER of 13 would use 4.43 MWh of energy A unit with an SEER of 16 would use 3.60 MWh of energy The higher the SEER the less energy is used over a season Heating Season Performance Factor (HSPF) similar to SEER but for the heating season. 1
1/3/2019 18 Other Measures of Performance Ton of Refrigeration unit of power to describe heat extraction capacity of refrigeration. One ton of refrigeration capacity can freeze one short ton of water at 0°C in 24 hours. (heat of fusion) Equal to 3.517 kW or 12,000 BTU/h 1 Combined Heat and Power While estimates vary, as of 2012, there are up to 130 Gigawatts (GW) of untapped technical CHP potential at existing industrial and commercial facilities. https://www.eia.gov/workingpapers/pdf/chp-Industrial_81415.pdf https://www.eia.gov/workingpapers/pdf/chp-Industrial_81415.pdf
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1/3/2019 19 https://www.eia.gov/workingpapers/pdf/chp-Industrial_81415.pdf Bottoming Need high temperatures for bottoming to be economical ~500 o F (260 o C) Heat to Electricity: Thermocouple Temperature difference across a junction of 2 dissimilar materials produces a voltage. Current technology achieves about 1/10 th of Carnot Efficiency 2
1/3/2019 20 Organic Rankine https://youtu.be/XifXl1EsdSc Examples of Working Fluids Hydrofluorocarbons (HFCs) Hydrocarbons ( iobutane, pentane, propane ) Fluorocarbons ( organofluorines ) - Can be used with much lower temperatures Kalina Cycle https://youtu.be/28ckvW7FJsM http://www.learnengineering.org/2013/01/kalina-cycle-power-plant.html Examples of Working Fluids Mix of two fluids ex: Water and Ammonia mix - Increased efficiency over Rankine http://www.learnengineering.org/2013/01/kalina-cycle-power-plant.html
1/3/2019 21
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