3.3

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School

Concordia University *

*We aren’t endorsed by this school

Course

273

Subject

Mechanical Engineering

Date

Oct 30, 2023

Type

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Pages

1

Uploaded by LieutenantHornetPerson1015

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3.3 Heat Engines Saturday, February 6, 2021 23:28 Mechanical Equivalent of Heat The heat energy released by burning a single match 1s about the same amount of energy required to lift a pint of beer up to the top of Montreal's tallest building. Thermal Energy converted to Mechanical Energy. But, we must capture this heat energy and convert it to mechanical energy. This is something we do frequently. Direct heat, light Heat engine Figure 3.1 The general pathways by whi i 4 1 we utilize energy from fos iy Elactrical energy Transportatio (LR Y sil fuels Energy content of Fuel » When we bum hydrocarbons, heat energy is released through 2 chemical reactions. » This leaves us with water, carbon dioxide, and thermal energy C + 0, = CO, + heat energy H, + 0 = H,0 + heat energy Example : Burning heptane water CoHye + 110, 4 7C0, +BH,0 + 1.2 million calories per 100 g of C,H,, . carbon doxide : heptane heat of combustion A Heat Engine = A heat engine is any device that can take energy from a warm source and convert a fraction of this energy to mechanical energy = Itrelies on a temperature difference between the heat source (Hot) and the heat sink (Cold) Heat source Ex: Coal furnace Thiot Quon Work output HEAT W= Quy - Qo ENGINE Qo Heat sink Ex: A lake Teol Figure 3.2 A thermodynamic diagram of a heat engine operating between a heat source and a heat sink at a lower temperature The work output, because of conserv difference between the heat energy ex that rejected to the sink Efficiency The efficiency of a heat engine tells us how much of the input heat energy is turned into useful mechanical work For example: if for every 1000 J of energy put in to the heat source, 50 J is converted to mechanical energy, the efficiency is: work done energy put into the system Efficiency = ( ) x 100 % 50 Efficiency - (m) X100% =5% As a result of the second law of thermodynamics it is not possible to turn all of the input energy into mechanical energy. French physicist Nicolas Leonard Sadi Carnot proved that the best efficiency possible by a heat engine is: T. Efficiency (best) = (1 - ‘—"'d) X 100% hot Note: This 1s a limit based on the laws of physics, not on how good we are at designing and building heat engines. Example # Typical temperatures in a coal fired electric power plant might be 825 K (552 °C) in the boiler (source) and use a cold water cooling tower (sink) at 300 K (27 °C) # What 1s the efficiency that could ever be possible in this type of power plant? TCD E(pest) = (1 - ?::‘)x 100% 300 E(best) =1 - m X 100% = 64% Note: We must use the kelvin temperature scale which is relative to absolute zero (-273 =C). *C=273k CtoK:Add273 n of energy, must equal the racted from the source and
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