Benedict–Webb–Rubin equation


The Benedict–Webb–Rubin equation, named after Manson Benedict, G. B. Webb, and L. C. Rubin, is an equation of state used in fluid dynamics. Working at the research laboratory of The M. W. Kellogg Company, the three researchers rearranged the Beattie–Bridgeman equation of state and increased the number of experimentally determined constants to eight.

The original BWR equation

where is the molar density.

The BWRS equation of state

A modification of the Benedict–Webb–Rubin equation of state by Professor Kenneth E. Starling of the University of Oklahoma:
where is the molar density. The 11 mixture parameters are calculated using the following relations
where and are indices for the components, and the summations go over all components.,, etc. are the parameters for the pure components for the th component, is the mole fraction of the th component, and is an interaction parameter.
Values of the various parameters for 15 substances can be found in Starling's Fluid Properties for Light Petroleum Systems..

The Modified BWR equation (mBWR)

A further modification of the Benedict–Webb–Rubin equation of state by Jacobsen and Stewart:
where:
The mBWR equation subsequently evolved into a 32 term version with numerical parameters determined by fitting the equation to empirical data for a reference fluid. Other fluids then are described by using reduced variables for temperature and density.