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An in-depth analysis of the Rankine Cycle, a power cycle used in thermodynamics. The cycle consists of four main units: a turbine, condenser, compressor, and boiler. Each unit is described in detail, including its ideal and practical operations, and the challenges faced in achieving optimal performance. The document also includes an in-class exercise to help students better understand the concepts.
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CM3230 Lecture 9 Page 1
CM3230 Lecture 9 Page 3
In class exercise: a) Sketch the equipment diagram of the Rankine cycle (and label the points in the path) b) Sketch the accompanying ᡆ-ᡱ diagram of ideal Rankine cycle c) Fill-in the work/heat “balance sheet” for the paths
CM3230 Lecture 9 Page 7
Example 3.14. Rankine Engine Cycle
Given : ᡆ⡩ = 600°ᠩ, ᡂ⡩ = 10 ᠹᡂᡓ, ᡂ⡰ = 100 ᡣᡂᡓ
Required: ᡵ㕉䙢〩げ,う,ぁ〲ぇ, ―〲ぁ〴〶ぁ〲, compare with Carnot efficiency
Solution: Need:
ℎ㕒⡩ = 䙦^ 䙧^ 〸〴〸】
ℎ㕒⡰ = 䙦^ 䙧^ 〸〴〸】
ℎ㕒⡱ = 䙦^ 䙧^ 〸〴〸】
ℎ㕒⡲ = 䙦^ 䙧^ 〸〴〸】
Then
ᡵ㕉〩げ,う,ぁ〲ぇ = 㐵ℎ㕒⡩ − ℎ㕒⡰㐹 + 㐵ℎ㕒⡱ − ℎ㕒⡲㐹 = 䙦^ 䙧^ 〸】〸〴
ぐ㕉䙢㉷㌀,㊔,㊉㊀㊕ い䙢㊄㊉,ㄠ→ㄗ^ =^
ぐ㕉䙢㉷㌀,㊔,㊉㊀㊕ 〵㕓ㄗ⡹〵㕓ㄠ^ = 䙦^ 䙧
For Carnot efficiency: ᡆ〉 = ᡆ⡩ = 600°ᠩ and ᡆ〄 = 䙦 䙧°ᠩ.
―〰〨ぅぁあぇ =
CM3230 Lecture 9 Page 9
Turbine: 1 2
Notes: a) 䙦ᡆ⡩, ᡂ⡩䙧 (^) steam table 䙗䙔 㐵ℎ㕒⡩, ᡱ̂⡩㐹 b) (ᡱ̂⡰ = ᡱ̂⡩, ᡂ⡰䙧 (^) steam table 䙗䙔 㐵ℎ㕒ぉ,⡰, ℎ㕒〹,⡰, ᡶ㐹 → ℎ㕒⡰
Condenser: 2 3
Notes: ℎ㕒⡱ = ℎ㕒〹,⡰ ( or less if excess cooling occurs )
Compressor: 3 4
Notes: ℎ㕒⡲ can be obtained from subcooled table, or ℎ㕒⡲ ≈ ℎ㕒⡱ + ᡴ㕈〹,⡱䙦ᡂ⡲ − ᡂ⡱䙧
Boiler: 4 1