Cardiovascular Effects of Anesthetics, Sedatives, Postoperative Analgesic Agents, and Other Pharmaceuticals

Gross, David R.

doi:10.1007/978-0-387-95962-7_7

Animal Models in Cardiovascular Research 2009

DOI: 10.1007/978-0-387-95962-7_7

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Cardiovascular Effects of Anesthetics, Sedatives, Postoperative Analgesic Agents, and Other Pharmaceuticals

David R. Gross

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2016

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Mathematical modeling of planar and spherical vapor–liquid phase interfaces for multicomponent fluids

Celný

Vinš

Planková

et al. 2016

EPJ Web of Conferences

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Abstract. Development of methods for accurate modeling of phase interfaces is important for understanding various natural processes and for applications in technology such as power production and carbon dioxide separation and storage. In particular, prediction of the course of the non-equilibrium phase transition processes requires knowledge of the properties of the strongly curved phase interfaces of microscopic droplets. In our work, we focus on the spherical vapor-liquid phase interfaces for binary mixtures. We developed a robust computational method to determine the density and concentration profiles. The fundamentals of our approach lie in the Cahn-Hilliard gradient theory, allowing to transcribe the functional formulation into a system of ordinary Euler-Langrange equations. This system is then split and modified into a shape suitable for iterative computation. For this task, we combine the Newton-Raphson and the shooting methods providing a good convergence speed. For the thermodynamic properties, the PC-SAFT equation of state is used. We determine the density and concentration profiles for spherical phase interfaces at various saturation factors for the binary mixture of CO 2 and C 9 H 20 . The computed concentration profiles allow to the determine the work of formation and other characteristics of the microscopic droplets.

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Mathematical modeling of planar and spherical vapor–liquid phase interfaces for multicomponent fluids

Celný

Vinš

Planková

et al. 2016

EPJ Web of Conferences

View full text Add to dashboard Cite

show abstract

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Cardiovascular Effects of Anesthetics, Sedatives, Postoperative Analgesic Agents, and Other Pharmaceuticals

Cited by 1 publication

References 266 publications

Mathematical modeling of planar and spherical vapor–liquid phase interfaces for multicomponent fluids

Mathematical modeling of planar and spherical vapor–liquid phase interfaces for multicomponent fluids

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