Martin-Hou's equation of state

The equation of state of Martin-Hou is an equation of state for real gases .

The equation is

${\displaystyle p={\frac {R\,T}{v_{sv}-b}}+\sum _{i=2}^{n}{\bigg [}{\frac {A_{i}+B_{i}\,T+C_{i}\,e^{({\frac {-k\,T}{T_{c}}})}}{(v_{sv}-b)^{i}}}{\bigg ]}\quad {\mbox{mit}}\quad n=5\quad {\mbox{oder}}\quad n=6}$

are there

• ${\displaystyle b,k}$ - coefficients
• ${\displaystyle A,B,C}$ - coefficients
• ${\displaystyle i,n}$ - Counter variable or index or number
• ${\displaystyle p}$ - is the pressure in [kPa (abs)]
• ${\displaystyle R}$ - specific gas constant in [J / (kg K)]
• ${\displaystyle T}$ - is the absolute temperature in [K]
• ${\displaystyle T_{c}}$- temperature at the critical point in [K]
• ${\displaystyle v_{sv}}$ - specific volume of the superheated steam in [m³ / kg]

The equation can be used in different systems of units (e.g. SI or IP ), so it is important to ensure that the correct coefficients are used for the equation. It is also a numerical equation , so you have to consider using the variables without units.

literature

• Martin JJ ve Hou, YC “Development of an Equation of State for Gases”, AIChe Journal, 1, No. 2,142-151 (1955) ( PDF )