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Cheatography

Thermodynamics final Cheat Sheet (DRAFT) by

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

Second Law

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
C = C + R
Polytropic Process:
k = C / 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

 

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

Cycles

Work

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)

Specific Heat