Thermodynamic Terms
Some definitions given here
are not as all inclusive as general thermodynamics might require, but
cover the ground necessary for reciprocating compressor applications.
There are some items where "authorities" differ in definition
and approach. In such cases a certain amount of judgment has been applied.
SPT
means standard pressure and temperature. As used herein it is 14.696 psia
and 60 deg. F in the English system of units.
STANDARD
Conditions, in the SI System, are 1.01325 barA and 15 C. These conditions
are used in Canada, South America, and New Zealand
NORMAL
Conditions, in the SI System, are 1.01325 barA and 0 C. These conditions
are used primarily in Europe.
DENSITY
is the weight of a given volume of gas, usually expressed in lb/cu.ft.
at SPT conditions.
SPECIFIC
VOLUME is the volume of a given weight of gas, usually expressed as
cu. ft./lb at SPT conditions.
SPECIFIC
GRAVITY is the ratio of the molecular weight of a given gas to the
molecular weight of dry air, both measured at the same specified conditions
of temperature and pressure usually 14.696 psia and 60 deg. F. It should
also take into account any compressibility deviation from a perfect gas.
BOYLE’S
LAW states that if the temperature of a gas remains constant, it's
volume varies inversely with the absolute pressure. It is expressed by
the formula:
CHARLES’
LAW states that if the pressure of a gas remains constant, its volume
varies directly with the absolute temperature. It is expressed by the
formula:
IDEAL
GAS LAW is created by combining Boyle's and Charles' Laws. It is expressed
by the formula:
COMPRESSIBILITY
is a volume ratio which indicates the deviation (as a multiplier) of the
actual volume from that as determined by the perfect or ideal gas laws.
When compressibility is applied, the equation is the real gas law. Compressibility
is designated by the term “z”, and is a function of pressure, temperature,
and gas composition.
TEMPERATURE
is the property of a substance which gauges the potential or driving force
for the flow of heat.
ABSOLUTE
TEMPERATURE is a temperature measurement relative to an absolute scale.
The absolute scale in English units is degrees Rankine;
The absolute temperature scale
in SI units is degrees Kelvin
Zero degrees in both absolute
temperature scales references the temperature when a substance contains
no heat.
ISOTHERMAL
PROCESS is one during which there is no change in the temperature.
This is impractical, as it would require all heat to be continuously removed
from the process.
ISENTROPIC
(ADIABATIC) PROCESS is one during which there is no heat added to
or removed from the system. All the heat of compression is contained in
the gas and shown as a temperature increase. Although not attained in
practice, adiabatic compression is a good model for most positive displacement
compression.
ADIABATIC
HORSEPOWER is the power required to adiabatically compress a gas delivered
from one pressure to a higher one. The power is calculated at the face
of the compressor piston.
ADIABATIC
EFFICIENCY is the ratio of the adiabatic horsepower required to compress
a given amount of gas to the actual horsepower expended in the compressor
cylinder The adiabatic efficiency is dependent upon factors such as gas
preheat and valve horsepower losses.
MECHANICAL
EFFICIENCY is the measure of power lost due to mechanical friction
of the piston rings, packings and bearings. A value of 95% mechanical
efficiency is used for the compressor cylinders in addition to specific
frame losses that include bearing and oil pump losses.
BRAKE
HORSEPOWER is the measured horsepower input to the compressor. It
is the adiabatic horsepower divided by the adiabatic efficiency and the
mechanical efficiency.
POLYTROPIC
PROCESS is one in which changes in gas characteristics and properties
are allowed for throughout the process.
HEAT
is energy transferred because of a temperature difference. There is no
transfer of mass.
WORK
is energy in transition and is defined as Force times Distance. Work cannot
be done unless there is motion.
ENTHALPY
(Heat Content) is the sum of the Internal and External energies.
ENTROPY
is a measure of the unavailability of energy in a substance.
SPECIFIC
HEAT (Heat Capacity) is the rate of change in Enthalpy with temperature.
It may be measured at constant pressure or at constant volume. The values
are different and are known as cp, and cv respectively.
For a perfect gas, Cp= Cv + R.
R is the universal gas constant.
RATIO
OF SPECIFIC HEATS (k) is the ratio of Cp over Cv. It may vary considerably
with temperature and pressure levels.
SATURATED
VAPOR PRESSURE is the pressure existing at a given temperature in
a closed vessel containing a liquid and the vapor from that liquid after
equilibrium conditions have been reached. It is dependent only on temperature
and must be determined experimentally.
SATURATED
PRESSURE is another term for Saturated Vapor Pressure.
SATURATED
TEMPERATURE is the temperature corresponding to a given saturated
vapor pressure for a given vapor.
DEW
POINT of a gas is the temperature at which the vapor (at a given pressure)
will start to condense (or form dew). Dew point of a gas mixture is the
temperature at which the highest boiling point constituent will start
to condense.
BUBBLE POINT of a gas is the
temperature at which the liquid (at a given pressure) will start to boil
(or form vapor). Bubble point of a gas mixture is the temperature at which
the lowest boiling point constituent will start to boil.
RELATIVE
HUMIDITY is the amount of water vapor entrained in a gas, expressed
as % of saturation.
PARTIAL
PRESSURE of a constituent in a mixture is the absolute pressure exerted
by that portion of the mixture. Calculated by multiplying the absolute
pressure of the system by the mole fraction of the constituent in the
mixture.
DRY
GAS is any gas or gas mixture which contains no water vapor and also
in which all of the constituents are substantially above their respective
saturated vapor pressures at the existing temperature.
Note: In commercial compressor
work a gas may be considered dry (even though it contains water vapor)
if its dew point is low at the inlet condition (say -50 deg. F to -60
deg. F.)
WET
GAS is any gas or gas mixture in which one or more of the constituents
is at or very close to its saturated vapor pressure. The constituent at
saturation pressure may or may not be water vapor.
CRITICAL
TEMPERATURE is the highest temperature at which a gas can be liquefied.
CRITICAL
PRESSURE is the saturation pressure at the critical temperature. It
is the highest vapor pressure the liquid can exert.
Note: Critical conditions must
be experimentally determined for each pure gas. When calculated for a
mixture, they are called pseudo critical conditions. Pseudo critical conditions
are a mole % (volume %) weighted average of critical conditions for each
constituent of a mixture.
REDUCED
TEMPERATURE is the ratio in absolute units of the actual gas temperature
to the critical temperature. Pseudo - reduced temperature is the ratio
in absolute units of a gas mixtures actual temperature to pseudo - critical
temperature.
REDUCED
PRESSURE is the ratio in absolute units of the actual gas pressure
to the critical pressure. Pseudo - reduced pressure is the ratio in absolute
units of a gas mixtures actual pressure to its pseudo - critical pressure.
Ariel
Corporation Application Manual
27 Sept 2005