DIPPR equations

The DIPPR equations are equations defined in the DIPPR-801 project of the Design Institute for Physical Properties (DIPPR) to describe the temperature dependence of various important physical material properties. They are the industry standard in many applications where material data are required for the optimization and design of chemical processes ( process synthesis , simulation and development). The DIPPR-801 database contains parameter sets for around 2000 substances.

Equation forms

The DIPPR equations model various quantities. A parameterizable basic form of the equation is selected for each variable and the parameters are then adapted to experimental data . The following are the parameters for the parameters, for the temperature and for the reduced temperature with respect to a critical temperature . ${\displaystyle a\ldots g}$ ${\displaystyle T}$ ${\displaystyle \tau =1-{\frac {T}{T_{\mathrm {c} }}}}$ ${\displaystyle T_{\mathrm {c} }}$

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the equations must be somewhere with this numbering and meaning ...

DIPPR equation	modeled sizes	shape
100	Correlation of heat capacities of solids and liquids, thermal conductivities and solid densities	${\displaystyle v=a+b\cdot T+c\cdot T^{2}+d\cdot T^{3}+e\cdot T^{4}}$
101	Saturation vapor pressure and viscosity	${\displaystyle v=exp\left({a+{\frac {b}{T}}+c\cdot lnT+d\cdot T^{e}}\right)}$
102	thermal conductivities and viscosities of ideal gases	${\displaystyle v={\frac {a\cdot T^{b}}{1+{\frac {c}{T}}+{\frac {d}{T^{2}}}}}}$
103		${\displaystyle v=a+b\cdot exp\left({\frac {-c}{T^{d}}}\right)}$
104	2. Virial coefficients	${\displaystyle v=a+{\frac {b}{T}}+{\frac {c}{T^{3}}}+{\frac {d}{T^{8}}}+{\frac {e}{T^{9}}}}$
105	Liquid density and saturation vapor pressure	${\displaystyle v={\frac {a}{b^{1+\left(1-{\frac {T}{c}}\right)^{d}}}}}$
106	Enthalpy of vaporization and surface tension	${\displaystyle v=a\left(1-T_{r}\right)^{b+c\cdot T_{r}+d\cdot T_{r}^{2}+e\cdot T_{r}^{3}}}$
107 (Aly-Lee equation)	Heat capacity of ideal gases	${\displaystyle v=a+b\left[{\frac {c/T}{sinh\left(c/T\right)}}\right]^{2}+d\left[{\frac {e/T}{cosh\left(e/T\right)}}\right]^{2}}$
114		${\displaystyle v={\frac {a^{2}}{\tau }}+b-2\cdot a\cdot c\cdot \tau -a\cdot d\cdot \tau ^{2}-{\frac {c^{2}\tau ^{2}}{3}}-{\frac {c\cdot d\cdot \tau ^{4}}{2}}-{\frac {d^{2}\cdot \tau ^{5}}{5}}}$
115		${\displaystyle v=exp\left({a+{\frac {b}{T}}+c\cdot lnT+d\cdot T^{2}+{\frac {e}{T^{2}}}}\right)}$
116		${\displaystyle v=a+b\cdot \tau ^{0,35}+c\cdot \tau ^{\frac {2}{3}}+d\cdot \tau +e\cdot \tau ^{\frac {4}{3}}}$
119	Correlation of the saturation density of water	${\displaystyle v=a+b\cdot \tau ^{\frac {1}{3}}+c\cdot \tau ^{\frac {2}{3}}+d\cdot \tau ^{\frac {5}{3}}+e\cdot \tau ^{\frac {16}{3}}+f\cdot \tau ^{\frac {43}{3}}+g\cdot \tau ^{\frac {110}{3}}}$

Equations without explicit mention of a property are generally only used for certain substances and properties if the standard equation is insufficient.

See also

• DECHEMA DCDS book series with experimental material data
• Dortmund database Database for experimental data
• Wagner equation and Antoine equation Alternative equations for describing the saturation vapor pressure

Web links

• DIPPR 801 Database

Individual evidence

1. ↑ Stefan Rönsch: System accounting in energy technology: Fundamentals, equations and models for engineering practice . Springer, 2015, ISBN 978-3-658-07824-9 , pp. 154 .