Abstract
In this work, we present a model, based on rough hard-sphere theory, for the tracer diffusion coefficients of gaseous solutes in non-polar liquids. This work extends an earlier model developed specifically for carbon dioxide in hydrocarbon liquids and establishes a general correlation for gaseous solutes in non-polar liquids. The solutes considered were light hydrocarbons, carbon dioxide, nitrogen and argon, while the solvents were all hydrocarbon liquids. Application of the model requires knowledge of the temperature-dependent molar core volumes of the solute and solvent, which can be determined from pure-component viscosity data, and a temperature-independent roughness factor which can be determined from a single diffusion coefficient measurement in the system of interest. The new model was found to correlate the experimental data with an average absolute relative deviation of 2.7 %. The model also successfully represents computer-simulation data for tracer diffusion coefficients of hard-sphere mixtures and reduces to the expected form for self-diffusion when the solute and solvent become identical.
Highlights
The diffusion coefficient is one of the key transport properties controlling many natural and industrial processes such as transport though membranes, interfacial mass transfer and pore-scale processes in hydrocarbon reservoirs
Several attempts have been made to develop a universal correlation based on kinetic theory but, to date, the available methods are restricted in scope
The objective of the present work was to extend a kinetic theory-based model to cover a wide range of solutes and solvents at infinite dilution
Summary
The diffusion coefficient is one of the key transport properties controlling many natural and industrial processes such as transport though membranes, interfacial mass transfer and pore-scale processes in hydrocarbon reservoirs. The diffusion coefficients of light gases in hydrocarbon liquids have received significant attention, especially in connection with enhanced oil recovery (EOR) and geological carbon dioxide storage (GCS) [1, 2]. In EOR, natural gas, nitrogen or carbon dioxide. Due to the scarcity of experimental measurements under high-pressure conditions, correlations based on hydrodynamic and kinetic theories have been adopted to estimate the diffusion coefficients [6]. Several attempts have been made to develop a universal correlation based on kinetic theory but, to date, the available methods are restricted in scope. The objective of the present work was to extend a kinetic theory-based model to cover a wide range of solutes (inorganic and light hydrocarbon gases) and solvents (the broad class of hydrocarbon liquids) at infinite dilution
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