ME 211 and ME312 Thermodynamics Equation Sheet
D. Abata, October 8, 2015
Conservation of mass:
where
Boundary work any system:
and flow work (open system)
, assuming ideal gas and since T=C then
For the polytropic process, that is
:
Open system work:
,
Through application of the differential
Ideal gas:
,
and
,
and
,
,
, then:
,
and
,
,
,
,
Quality in the mixture region:
,
Note: v is interchangeable with u, h, or s
For the closed system:
For the open system:
where:
Thermal Efficiency, COP, and the Carnot cycle:
,
Second Law Considerations:
,
,
For the ideal gas:
,
The above for s=0 and constant heat capacities:
For solids and to approximate compressed liquids:
Turbine and compressor efficiencies
,
and
Exergy
Nonflow exergy (intensive):
Flow exergy (intensive):
Nonflow exergy change (intensive):
Flow exergy change (intensive):
Exergy transfer by heat:
Exergy transfer by work (boundary work):
Exergy transfer by work (other forms of work):
Irreversibility:
Second Law Efficiency (Effectiveness):
Gas Mixtures
Mass and mole fraction:
and
Apparent or average molar mass and gas constant:
Dalton and Amagat:
and
and
Thus:
Extensive properties (U, H, S):
Intensive properties (u, h, s, cv, cp):
and
Gas-Vapor Mixtures (Psychrometrics)
where Pg=Psat@T
Combustion
,
Compressible Flow
,
,
,
,
,