Applied Mathematics and Mechanics >
Explicit approximate solutions to two transcendental equations in two-phase stratified flow
Received date: 2025-06-05
Revised date: 2025-07-23
Online published: 2025-09-30
Supported by
Project supported by the General Research Fund from the Research Grants Council of the Hong Kong Special Administrative Region of China (No. PolyU 15210624)
Copyright
Stratified flow is a common phenomenon in horizontal tubes of two-phase flow systems. However, the existing methods for calculating the wetted angle of the flat interface model and the central angle of the two-circle model rely on solving implicit transcendental equations, which require iterative numerical root-finding methods, thereby introducing computational complexity and inefficiency. This paper proposes the high-precision explicit approximate solutions for the two models, directly correlating the geometric parameters with the flow parameters, thus significantly enhancing the efficiency and accuracy of two-phase flow analysis.
Baisheng WU , Yixin ZHOU , Zeyao CHEN , Siukai LAI . Explicit approximate solutions to two transcendental equations in two-phase stratified flow[J]. Applied Mathematics and Mechanics, 2025 , 46(10) : 2007 -2016 . DOI: 10.1007/s10483-025-3299-6
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