Understanding Heat Engines and Engine Efficiency

Heat engines and maximum efficiency-or:
 Why the  Internal Combustion Engine Sucks 
(pp. 837-9 & Fig. 20.7)
T
hot
T
cold
Heat engine
Q
rev,hot
Q
rev,cold
W
To make matters simple-assume the engine and two blocks form a
system that is adiabatically insulated from the outside so that no net
heat loss to the outside occurs  (key notion in `Carnot’ cycle)
Since  we also assume reversible heat transfer, and no
heat comes from outside surroundings...
 
S
hot 
+ 
S
cold
 
=0
 
Q
rev,hot 
+      
Q
rev,cold
 
=0
  
T
hot
 
  
 
   
T
cold
 
 
Note that:
 
Q
rev,hot
 
 > 0  (engine absorbs heat from hot reservoir )
Q
rev,cold
 
 < 0  (engine expels heat to cold reservoir)
The work* done to move the `bus’, W, is derived from
     the heat sum below, which is really a difference in heats:
 
W is a positive heat using the bus’s point of view. McQuarrie takes the heat engine’s view
and is stuck with `hand waving’ a  –W = 
Q
rev,hot
 
  +  
Qrev,cold  
on p. 839
 
W= 
Q
rev,hot
 
  +  
Q
rev,cold
 
 (`eta’) = 
Engine efficiency = 
W
     
     
Q
rev,hot
 
Q
rev,hot
 
  +  
Q
rev,cold
 
Q
rev,hot
 =
 
Q
rev,hot 
+      
Q
rev,cold
 
=0=>
  
T
hot
 
  
 
   
T
cold
 
=1+ 
Q
rev,cold
        
Q
rev,hot
 
Recall that:
 
Q
rev,cold
 =  -
T
cold
Q
rev,hot
       T
hot
=1-  
T
cold
        
T
hot
= 
T
hot
-
T
cold
       
T
hot
 
See also, eq. 20.35
p. 839
 
http://www.cargurus.com/Cars/Discussion-
t30083_ds38018
The normal engine operating temperature on
most new GM cars is ~200
o
 F *.”
 
* 200 F~ 
366 K=T
h
Assuming room temperature =
298 K=T
c
A practical application: car as heat engine
= 
T
hot
-
T
cold
       
T
hot
 
= 
366
-
298
     366
~0.19
(19% efficient)
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Exploring the concept of heat engines and maximizing efficiency, specifically examining why internal combustion engines have limitations. The discussion covers reversible heat transfer, engine work, efficiency calculations, and practical application to car engines. Insights on temperature differentials and system insulation are highlighted, emphasizing the crucial role of heat transfer in engine performance.


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  1. Heat engines and maximum efficiency-or: Why the Internal Combustion Engine Sucks (pp. 837-9 & Fig. 20.7) Qrev,hot Thot http://i.ytimg.com/vi/-0icbqvmehs/0.jpg W https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcRjhsCYWaPBGtiRW4Su97tepPBeCd-H9kpU5emHwLjqASdaYn98QA Heat engine Qrev,cold Tcold To make matters simple-assume the engine and two blocks form a system that is adiabatically insulated from the outside so that no net heat loss to the outside occurs (key notion in `Carnot cycle)

  2. Since we also assume reversible heat transfer, and no heat comes from outside surroundings... Shot + Scold=0 Qrev,hot + Qrev,cold=0 Thot Tcold Note that: Qrev,hot > 0 (engine absorbs heat from hot reservoir ) Qrev,cold < 0 (engine expels heat to cold reservoir) The work* done to move the `bus , W, is derived from the heat sum below, which is really a difference in heats: W= Qrev,hot + Qrev,cold W is a positive heat using the bus s point of view. McQuarrie takes the heat engine s view and is stuck with `hand waving a W = Qrev,hot + Qrev,cold on p. 839

  3. (`eta) = Engine efficiency = W Qrev,hot + Qrev,cold Qrev,hot =1+ Qrev,cold Qrev,hot = Qrev,hot Recall that: Qrev,hot + Qrev,cold=0=> Thot Tcold Qrev,cold = -Tcold Qrev,hot Thot = Thot-Tcold Thot =1- Tcold See also, eq. 20.35 p. 839 Thot

  4. A practical application: car as heat engine The normal engine operating temperature on most new GM cars is ~200oF *. http://www.cargurus.com/Cars/Discussion- t30083_ds38018 * 200 F~ 366 K=Th Assuming room temperature =298 K=Tc = 366-298 366 ~0.19 (19% efficient) = Thot-Tcold Thot

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