This is a draft cheat sheet. It is a work in progress and is not finished yet.
Air Standard Otto Cycle
Process 1–2: An isentropic compression of the air as the piston moves from bottom dead center to top dead center.
Process 2–3: A constant-volume heat transfer to the air from an external source while the piston is at top dead center. This process is intended to represent the ignition of the fuel–air mixture and the subsequent rapid burning.
Process 3–4: An isentropic expansion (power stroke).
Process 4–1: Completes the cycle by a constant-volume process in which heat is rejected from the air while the piston is at bottom dead center. |
Air Standard Otto Cycle Diagram and Schematic
Efficiencies
Power = 1 - Qᴄ / Qʜ |
Turbine = Wᴀᴄᴛᴜᴀʟ / Wɪᴅᴇᴀʟ |
Refrigeration = Qᴄ / Qʜ - Qᴄ |
Comp or Pump = Wɪᴅᴇᴀʟ / Wᴀᴄᴛᴜᴀʟ |
Heat = Qʜ / Qʜ - Qᴄ |
Regenerator = Qᴀᴄᴛᴜᴀʟ / Qɪᴅᴇᴀʟ |
Ideal Gases
pv = RT |
pV = mRT |
Cᴘ = Cᴠ + R |
Polytropic Process: |
k = Cᴘ / Cv |
Pʀ = P / Pᴄ |
Tʀ = T / Tᴄ |
pvn = constant |
Exact Analysis of Isentropic Process for Ideal Air
Pʀ2 / Pr1 = P1 / P2 |
Vʀ2 / Vʀ1 = V2 / V1 |
Pressure ratio = P2/ P1 |
Exact Analysis of Entropy Change in Ideal Gasses
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Air Standard Diesel Cycle
The air-standard Diesel cycle is an ideal cycle that assumes heat addition occurs during a constant-pressure process that starts with the piston at top dead center. The cycle consists of four internally reversible processes in series.
Process 1-2 is the same as in the Otto cycle: an isentropic compression. Heat is not transferred to the working fluid at constant volume as in the Otto cycle, however. In the Diesel cycle, heat is transferred to the working fluid at constant pressure.
Process 2–3 also makes up the first part of the power stroke.
Process 3-4 is an isentropic expansion and is the remainder of the power stroke.
Process 4-1 As in the Otto cycle, the cycle is completed by a constant-volume process in which heat is rejected from the air while the piston is at bottom dead center. This process replaces the exhaust and intake processes of the actual engine. |
Air Standard Diesel Cycle Diagram and Schematic
Miscellaneous
Tds = du + pdv |
Tds = du + vdp |
x = Mᴠᴀᴘᴏʀ / Mᴛᴏᴛᴀʟ |
S = Sғ + (x)Sғɢ = Sғ(1 -x) + Sɢ |
Expansion valve: Δh = 0 |
Condensor: Qᴏᴜᴛ |
Evaporator: Qɪɴ |
First law: Eɪɴ - Eᴏᴜᴛ = ΔEsʏsᴛᴇᴍ |
h = u +pv |
W = VI (electrical) |
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