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On the Riemann Problem Simulation for the Drift-Flux Equations of Two-Phase Flows

S. Kuila

Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India

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T. Raja Sekhar

Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India

E-mail Address: trajasekhar@maths.iitkgp.ernet.in

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, and

D. Zeidan

School of Basic Sciences and Humanities, German Jordanian University, Amman, Jordan

E-mail Address: dia.zeidan@gju.edu.jo

Corresponding author.

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https://doi.org/10.1142/S0219876216500092Cited by:31 (Source: Crossref)

Abstract

This work presents computational simulations and analytical techniques for solving the drift-flux two-phase flow model. The model equations are formulated to describe the exact solution of the Riemann problem. The solution is constructed by solving the conservation of mass for each phase and the mixture conservation momentum equation of the two phases under isothermal conditions. Particular attention is given to address the expressions for jump relationships and the Riemann invariants. The performance of the developed Riemann solver is assessed with respect to different test cases selected from the literature. Comparisons with Godunov methods of centred-type are provided to demonstrate the use of the proposed exact and computational framework. Excellent agreement is observed between analytical results and numerical predictions.

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