An algorithm for determining cloud and shadow curves using continuous thermodynamics Export

@article{citeulike:4325914, abstract = {A computer algorithm has been developed to determine the cloud and shadow point curves of polydisperse polymer/solvent systems using continuous thermodynamics to represent the polymer. The algorithm is based upon the work of Michelsen [M.L. Michelsen, Fluid Phase Equilibria, 4 (1980), pp. 1–10] and Koak [N. Koak, Polymer Solution Phase Behaviour, PhD Thesis, University of Calgary, Calgary, 1997] where a Newton–Raphson procedure is used to solve the equations defining phase equilibrium for fixed phase segment fractions between 0 and 1. The equations have been developed with the Sanchez–Lacombe equation of state which allows the continuous system to be defined by a set of five equations in five unknowns. Numerical integration is used to determine the values of the indefinite integrals involved. The cloud and shadow curves for a polydisperse polyethylene/ n -hexane system were found at 6 bar using both a log-normal distribution and a Schulz–Flory distribution to represent the polyethylene. Compositions of the cloud point curve covered the entire composition range showing the model's behavior in high temperature regions, a hypothetical liquid–vapour critical point and a three-phase point when the log-normal distribution was used. The cloud and shadow point curves of a polyethylene/ethylene system were also found and indicated a high pressure critical point.}, author = {Phoenix, A. V. and Heidemann, R. A.}, citeulike-article-id = {4325914}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/S0378-3812(99)00098-9}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/S0378-3812(99)00098-9}, doi = {10.1016/S0378-3812(99)00098-9}, issn = {03783812}, journal = {Fluid Phase Equilibria}, keywords = {algorithm, cloud-point, continuous, thermodynamics}, month = {June}, number = {1}, pages = {643--655}, posted-at = {2009-04-16 13:28:17}, priority = {5}, title = {An algorithm for determining cloud and shadow curves using continuous thermodynamics}, url = {http://dx.doi.org/10.1016/S0378-3812(99)00098-9}, volume = {158-160}, year = {1999} }

TY - JOUR ID - citeulike:4325914 L3 - citeulike-article-id:4325914 N2 - A computer algorithm has been developed to determine the cloud and shadow point curves of polydisperse polymer/solvent systems using continuous thermodynamics to represent the polymer. The algorithm is based upon the work of Michelsen [M.L. Michelsen, Fluid Phase Equilibria, 4 (1980), pp. 1–10] and Koak [N. Koak, Polymer Solution Phase Behaviour, PhD Thesis, University of Calgary, Calgary, 1997] where a Newton–Raphson procedure is used to solve the equations defining phase equilibrium for fixed phase segment fractions between 0 and 1. The equations have been developed with the Sanchez–Lacombe equation of state which allows the continuous system to be defined by a set of five equations in five unknowns. Numerical integration is used to determine the values of the indefinite integrals involved. The cloud and shadow curves for a polydisperse polyethylene/ n -hexane system were found at 6 bar using both a log-normal distribution and a Schulz–Flory distribution to represent the polyethylene. Compositions of the cloud point curve covered the entire composition range showing the model's behavior in high temperature regions, a hypothetical liquid–vapour critical point and a three-phase point when the log-normal distribution was used. The cloud and shadow point curves of a polyethylene/ethylene system were also found and indicated a high pressure critical point. IS - 1 JF - Fluid Phase Equilibria SN - 03783812 EP - 655 TI - An algorithm for determining cloud and shadow curves using continuous thermodynamics VL - 158-160 SP - 643 KW - algorithm KW - cloud-point KW - continuous KW - thermodynamics AU - Phoenix, AV AU - Heidemann, RA PY - 1999/06// UR - http://dx.doi.org/10.1016/S0378-3812(99)00098-9 ER -