@wikipedia
Synonyms: Compressibility Z-factor = Z-factor
Dimensionless multiplier in real gas equation of state which describes the deviation of a real gas from ideal gas behavior:
| LaTeX Math Block |
|---|
|
Z = \frac{p V}{\nu R T} |
where
It is related to fluid compressibility
as:
| LaTeX Math Block |
|---|
| c(p) = \frac{1}{p} - \frac{1}{Z} \frac{dZ}{dp} |
|
| LaTeX Math Block |
|---|
| Z(p) = \frac{Z_0}{p_0} \cdot p \cdot \exp \left[ - \int_{p_0}^p c(p) dp \right] |
|
| Expand |
|---|
|
| LaTeX Math Block |
|---|
| c = - \frac{1}{V} \frac{dV}{dp} = - \frac{d}{dp} \left( \ln V \right) \rightarrow \ln \frac{V}{V_0} = - \int_{p_0}^p c(p) dp |
Substituting from | LaTeX Math Block Reference |
|---|
|
into | LaTeX Math Block Reference |
|---|
|
one arrives to | LaTeX Math Block Reference |
|---|
|
. |
The Z-factor value is trending towards
for
incompressible fluids and
| LaTeX Math Inline |
|---|
| body | Z \rightarrow a \cdot p |
|---|
|
for
strongly compressible Fluids.
See also
Natural Science / Physics /Thermodynamics
[ Fluid Compressibility ][ Gas compressibility ]
References
