Gas Flow Conversions. Equations and Calculator |
Mass flow, flow at standard (base, normal) conditions, and flow at actual (flowing) conditions |

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**Equations**

In the gas flow discipline, flowrates are often expressed as "flow at standard
conditions". Standard conditions are synonymous with the term "base
conditions" or "normal conditions". The calculation on this page converts
between mass flow (W), flow at standard conditions (Q_{s}), and flow at actual
(flowing) conditions (Q_{a}). The equations use SI units, but our calculation
allows a variety of units with all of the unit conversions handled internally by the
program.

**Standard (Base) Conditions**

For the natural gas industry in North America and OPEC (Organization of Petroleum
Exporting Countries), standard conditions are typically P_{s}=14.73 psia and T_{s}=60^{o}F.
IUPAC (International Union of Pure and Applied Chemistry) uses T_{s}=0^{o}C
and P_{s}=1 bar. Some gas flows related to environmental engineering are based on
standard conditions of T_{s}=15^{o}C or 20^{o}C and P_{s}=101.325
kPa (1 atmosphere). Standard conditions vary from industry to industry and have varied
over the years within the same field, so it is important to know the standard temperature
and pressure that a stated "standard flow" is based upon. Wikipedia (2006) has a
good discussion of standard conditions.

**Calculation**

Register to enable "Calculate" button.

**Units:** abs=absolute, acfd=actual cfd, acfh=actual cfh,
acfm=actual cfm, cfd=cubic foot per day, cfh=cubic foot per hour, cfm=cubic foot per
minute, cfs=cubic foot per second, cm=centimeter, g=gram, hr=hour, kg=kilogram,
km=kilometer, kPa=kiloPascal, lb=pound, m=meter, mbar=millibar, mm=millimeter,
Mcfh=thousand cfh, MMcfd=million cfd, N/m^{2}=Newton per square meter (same as
Pascal), s=second, psi=pound per square inch, psia=psi (absolute), psig=psi (gage),
scfd=std cfd, scfh=std cfh, scfm=std cfm, std=standard conditions.

Notes about some confusions in the gas industry: In English units, the
abbrevation "M" means thousand and "MM" means million. In metric
units, "M" means mega which means million. You may see the notation "Nm^{3}/s"
which is a metric (SI) unit for "Normal m^{3}/s". Normal is the same as
standard or base, which can be confused with Newton (unit of force) since both have the
same abbreviation. We don't use the unit "Nm^{3}/s" on this page;
instead, we call it "std m^{3}/s".

**Variables**

The units refer to the units that must be used in the equations shown above. However, a
variety of units may be used in our calculation.

M = Molecular weight of the actual (flowing) gas (kg/mol). For example, methane (CH_{4})
has a molecular weight of 0.016042 kg/mol. Compute molecular
weight using our calculator.

M_{air} = Molecular weight of standard air = 0.02896443 kg/mol (CRC, 1983).

P_{a} = Absolute pressure at actual (flowing) conditions (N/m^{2}
absolute).

P_{s} = Absolute pressure at standard (base) conditions (N/m^{2}
absolute).

Q_{a} = Flowrate at actual (flowing) conditions (m^{3}/s).

Q_{s} = Flowrate at standard (base) conditions (m^{3}/s).

R_{u} = Universal gas constant = 8.3144126 N-m/mol-K (CRC, 1983, p. F-192).

S = Specific gravity of flowing gas (note that S_{air}=1). For example CH_{4}
has S=M_{CH4}/M_{air}= 0.016042 / 0.2896443 = 0.554

T_{a} = Absolute temperature at actual (flowing) conditions (K).

T_{s} = Absolute temperature at standard (base) conditions (K).

W = Mass flowate (kg/s).

Z = Gas compressibility factor which represents the gas's deviation from ideal gas
behavior. Typically 1.0 at standard conditions. Typically decreases as pressure
increases then increases at high pressure. Can be as low as 0.4 or so and up to 2 or
so. Exact computation depends on make-up of the gas, gas critical pressure and
temperature, and actual temperature and pressure. Additional information and calculators
can be found at Univ. Florida (2006), Process (2003), and Istos (2003).

*ρ*_{a} = Greek letter rho. Density at actual (flowing) conditions,
kg/m^{3}.

*ρ*_{s} = Greek letter rho. Density at standard (base) conditions,
kg/m^{3}.

**Error Messages given by calculation**

The following are error messages shown if input values are improper:

*"Need Z > 0", "Need Pa, Ps > 0", "Need Ta, Ts > 0.0
K", "Need S > 0", "Need M > 0", "Need Qa > 0",
"Need Qs > 0", "Need W > 0".*

**References**

Chemical Rubber Company (CRC). 1983. CRC Handbook of Chemistry and Physics. Weast, Robert
C., editor. 63rd edition. CRC Press, Inc. Boca Raton, Florida. USA.

Istos. 2003. Gas compressibility factor (calculator uses Redlich Kwong equation). http://jacq.istos.com.au/tech/zrk.html.

Process Associates of America (2003). Gas compressibility factor (calculator uses Redlich Kwong equation). http://www.processassociates.com/process/property/z_factor.htm.

University of Florida. 2006 (retrieved). Real gases: Deviation from ideal behavior. http://www.chem.ufl.edu/~itl/2045/lectures/lec_e.html.

Wikipedia. 2006. Standard conditions for temperature and pressure. http://en.wikipedia.org/wiki/Standard_temperature_and_pressure.

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