范德华气气液两相流漂移通量模型的精确黎曼解

IF 2.5 3区工程技术 Q2 MECHANICS

European Journal of Mechanics B-fluids Pub Date : 2025-10-06 DOI:10.1016/j.euromechflu.2025.204383

Chunwang Yan , Yanyan Zhang , Yu Zhang

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引用次数: 0

摘要

建立了描述气液两相流动的范德华漂移通量模型，并对其黎曼问题进行了解析求解。采用统一的参数方法，导出了所有基本波的精确表达式，并严格地建立了解的存在唯一性。此外，我们提出了一个简单的标准，以确定是否冲击或稀疏波出现在1族和3族。最后，通过数值模拟验证了理论分析的正确性。本文对非理想气体漂移通量模型的Riemann问题进行了全面的分析，为研究非理想两相流动力学提供了一个精确的数学框架。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Exact Riemann solutions for the drift-flux model of gas–liquid two-phase flows with van der Waals gas

We develop a van der Waals drift-flux model to describe gas–liquid two-phase flow and solve its Riemann problem analytically. Employing a unified parametric approach, we derive the exact expressions for all elementary waves and rigorously establish the existence and uniqueness of solutions. Additionally, we propose a simple criterion to determine whether shocks or rarefaction waves arise in the 1-family and 3-family. Finally, the theoretical analysis is confirmed by numerical simulation. This work presents a comprehensive analysis of the Riemann problem for the drift-flux model with non-ideal gas, providing an exact mathematical framework for studying the non-ideal two-phase flow dynamics.

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来源期刊

European Journal of Mechanics B-fluids 物理-力学

CiteScore

5.90

自引率

3.80%

发文量

127

审稿时长

58 days

期刊介绍： The European Journal of Mechanics - B/Fluids publishes papers in all fields of fluid mechanics. Although investigations in well-established areas are within the scope of the journal, recent developments and innovative ideas are particularly welcome. Theoretical, computational and experimental papers are equally welcome. Mathematical methods, be they deterministic or stochastic, analytical or numerical, will be accepted provided they serve to clarify some identifiable problems in fluid mechanics, and provided the significance of results is explained. Similarly, experimental papers must add physical insight in to the understanding of fluid mechanics.