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arXiv 2408.09164physics.flu-dyncs.NAmath.NA
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一种在多相流中强制执行热力学气液平衡的新温度演化方程——在CO2建模中的应用

A new temperature evolution equation that enforces thermodynamic vapour-liquid equilibrium in multiphase flows -- application to CO2 modeling

Pardeep Kumar, Benjamin Sanderse, Patricio I. Rosen Esquivel, R. A. W. M. Henkes

AI总结:

本文提出一种用于模拟CO2储罐和管道减压的新框架,通过将传统四方程VLE系统简化为单一方程并从UV-Flash方程推导出ODE与流体控制方程耦合求解,显著降低了计算成本。

摘要:

本文提出了一种新框架,用于数值模拟含有二氧化碳(CO2)的储罐和管道的减压过程。该框架侧重于流体流动方程和热力学约束耦合系统的高效求解策略。一个关键贡献在于提出了一组新的相平衡计算方程,简化了传统两相CO2混合物的气液平衡(VLE)计算。首个主要创新点是将传统的四方程VLE系统简化为单一方程,从而能够使用非线性求解器进行高效求解。与传统方法相比,这显著降低了计算成本。此外,第二个创新点是通过直接从UV-Flash方程推导出一个常微分方程(ODE)来引入的。该ODE可以与流体流动控制方程一起积分,为模拟减压过程提供了一种计算高效的方法。

英文摘要:

This work presents a novel framework for numerically simulating the depressurization of tanks and pipelines containing carbon dioxide (CO2). The framework focuses on efficient solution strategies for the coupled system of fluid flow equations and thermodynamic constraints. A key contribution lies in proposing a new set of equations for phase equilibrium calculations which simplifies the traditional vapor-liquid equilibrium (VLE) calculations for two-phase CO2 mixtures. The first major novelty resides in the reduction of the conventional four-equation VLE system to a single equation, enabling efficient solution using a non-linear solver. This significantly reduces computational cost compared to traditional methods. Furthermore, a second novelty is introduced by deriving an ordinary differential equation (ODE) directly from the UV-Flash equation. This ODE can be integrated alongside the governing fluid flow equations, offering a computationally efficient approach for simulating depressurization processes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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