a mixing rule for the mixtures of hard-spheres is presented which can be reduced to the standard van der waals mixing rule at low densities. the effectiveness of the mixing rule for the size and energy parameters of lennard-jones fluid are examined by combining them with an equation of state to calculate thermodynamic properties. the results of calculation are compared with the molecular dynami...

thermophysical properties of fluorine are interesting because of its applications in different areas of technologyand industry. the computations of thermodynamic properties were performed with the gma equation of stateunder critical conditions. the present work reports calculations of density, volumetric, and thermodynamicproperties of liquid fluorine on extended ranges of pressure and temperat...

a second virial coefficient correlation suitable for two different temperatures ranges, (t*)-2£180 and (t*)-2>180, where t* is rt/dhvap is presented. the equation of state can be calculated for different, complicated non-polar, and slightly polar liquid mixtures at any temperature over the range from ttp to tc and up to high pressures. the latent heat of vaporization and density at the triple p...

in this paper, the ultraspherical operational matrices of derivatives are constructed. based on these operational matrices, two numerical algorithms are presented and analyzed for obtaining new approximate spectral solutions of a class of linear and nonlinear lane-emden type singular initial value problems. the basic idea behind the suggested algorithms is basically built on transforming the eq...

In design of anaerobic bioreactor, rate equation is commonly used. Mathematical model was developed at steady state condition, to project concentration of gaseous substrate and product in biological oxidation of carbon monoxide with water to produce hydrogen and carbon dioxide. The concept of bioconversion was based on transport of CO from gas phase to liquid phase, as the CO consumption was in...