MECH 330: APPLIED THERMODYNAMICS II LECTURE 07
Some final comments regarding Exergy
Uses for exergetic efficiency:
- For distinguishing means for utilizing energy resources that are
thermodynamically effective from those that are less so.
- To evaluate the effectiveness of engineering measures taken to
improve the performance of a thermal system.
- To gauge the potential for improvement in the performance of a
thermal system by comparing the efficiency of the system with
the efficiency of like systems.
Methods of improving energy resources use by using some of
the exergy that would otherwise be vented to the environment.
Waste Heat Recovery
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MECH 330: APPLIED THERMODYNAMICS II LECTURE 07
Cogeneration
Steam Extraction for Thermal Load:
Combined Power Cycles:
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MECH 330: APPLIED THERMODYNAMICS II LECTURE 07
Advanced Vapour Power Systems – Rankine Cycle
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MECH 330: APPLIED THERMODYNAMICS II LECTURE 07
Analysis
Our analysis for each component is based upon the steady-state
energy balance equation with ∆KE , ∆PE = 0 :
0 = Q − W + m(∆h)
Turbine
No Q with surroundings, thus:
Wt
= (h1 − h2 )
m
Condenser
No W done, thus:
Qout
= (h2 − h3 )
m
Pump
No Q with surroundings, thus:
WP WP
= (h4 − h3 ) or ≈ υ3 ( P4 − P3 ) where υ3 = υ f ( P3 )
m m
Boiler
No W is done, thus:
Qin
= (h1 − h4 )
m
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MECH 330: APPLIED THERMODYNAMICS II LECTURE 07
The thermal efficiency, η , is:
net work
η=
heat input
(Turbine work ouput ) − ( Pump work input )
η=
( Heat input to Boiler )
Wt / m − WP / m
η=
Qin / m
(h1 − h2 ) − (h4 − h3 )
η=
(h1 − h4 )
The back work ratio, bwr, is:
WP / m
bwr =
Wt / m
(h4 − h3 )
bwr =
(h1 − h2 )
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MECH 330: APPLIED THERMODYNAMICS II LECTURE 07
Example
Saturated vapour steam enters the turbine at 8 MPa and saturated
liquid leaves the condenser at 0.008 MPa. Find: η , bwr, m , Qin (for
boiler), Qout (for condenser) if Wnet = 100 MW .
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MECH 330: APPLIED THERMODYNAMICS II LECTURE 07
Solution
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MECH 330: APPLIED THERMODYNAMICS II LECTURE 07
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MECH 330: APPLIED THERMODYNAMICS II LECTURE 07
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MECH 330: APPLIED THERMODYNAMICS II LECTURE 07
Extra question:
Calculate the m for the cooling water through the condenser if it
enters at 15oC and leaves at 35oC.
6
Cooling water (e.g., Lake water)
mcw = ?
5
3
Condensate
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