The WAF scheme for the isentropic drift-flux model of compressible two-phase flows

Ouffa, Souheyla; Zeidan, Dia; Seba, Djamila

doi:10.1016/j.compfluid.2021.105091

Cited by 23 publications

(6 citation statements)

References 44 publications

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“…[33][34][35] Some valuable results and related topics are studied in previous studies. [36][37][38][39][40][41][42] One can see the work based on the Lie group of transformation method for solitary waves and shock waves in previous studies. [43][44][45][46][47][48] According to the authors' knowledge, the problem under consideration has not been solved yet by the similarity method, which makes this work different from previous works.…”

Section: Introductionmentioning

confidence: 98%

“…Some of the remarkable work on the shock wave propagation in non‐ideal magnetogasdynamics with the rotational effect is presented in previous studies 33–35 . Some valuable results and related topics are studied in previous studies 36–42 . One can see the work based on the Lie group of transformation method for solitary waves and shock waves in previous studies 43–48 .…”

Section: Introductionmentioning

confidence: 99%

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Lie group of invariance technique for analyzing propagation of strong shock wave in a rotating non‐ideal gas with azimuthal magnetic field

Yadav

Singh

Arora

2022

Math Methods in App Sciences

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In this manuscript, the propagation of strong shock wave in a non-ideal gas in the presence of azimuthal magnetic field with rotational effect is examined by using the Lie group of invariance technique with an assumption of uniform density in the undisturbed medium, whereas the azimuthal component of the fluid velocity and magnetic field are supposed to vary. The main advantage of this method is to reduce the number of independent variables by one. We obtained a special class of self-similar solutions to the problem, and the flow profiles are depicted graphically behind the shock followed by a brief discussion on the behavior of solutions through graphs. The effects of variation in non-ideal parameter, adiabatic index of the gas, Alfven-Mach number and ambient azimuthal velocity exponent on the flow variables are presented. All numerical calculations have been done using the "Mathematica"software.

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Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Lie group of invariance technique for analyzing propagation of strong shock wave in a rotating non‐ideal gas with azimuthal magnetic field

Yadav

Singh

Arora

2022

Math Methods in App Sciences

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“…Amid many such studies were the solutions obtained using one dimensional analysis to predict interactions between a weak discontinuity with characteristic shock waves in compressible flows (Zeidan et al 2021). Ouffa et al (2021) expanded the investigations to two-phase gas-liquid compressible flows using drift-flux models. Furthermore, the studies have extended to applications of Aerogels (Zeidan et al 2021) and using a one-dimensional numerical analysis for solving multiphase flow problems (Kozakevicius et al 2018).…”

Section: Introductionmentioning

confidence: 99%

Effect of Ambient Air Temperature on the Compression Wave Propagating along a Railway Tunnel

2023

JAFM

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The parameters of the compression wave propagating in a railway tunnel are significantly influenced by the large ambient air temperature variation throughout the year. High-speed train entering a railway tunnel produces a wave of finite amplitude to propagate at sonic speed. The wave attenuates while propagation through viscous dissipation and inertial forces nonlinearly steepen the wave. As a result of the dependence of sound speed on air temperature, the wave characteristics are altered with changing temperature. Therefore, it is crucial to comprehend the impact of ambient air temperature on the properties of the compression wave in order to construct an aero-acoustically ideal railway tunnel system. The method of characteristics (MOC) has been used to solve Euler equations with steady and unsteady friction parameters in the current study. According to the findings, wave attenuation ratio is reducing along the tunnel length, and gradient is rising as train speed increases. The case study illustrates the key distance within a tunnel where the steepening ratio is at its highest point. This critical tunnel length is estimated to be 65 times the tunnel hydraulic diameter (300 km/h) for a particular air temperature (T = 323 K), and it decreases by 15% for a 70 K reduction (323K to 253K) in temperature. Similarly, the critical length falls by 40% for greater train speeds (500 km/h).

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“…Afterwards, Carragher et al [30] conducted a study on heat flow over continually stretched sheets. Sakiadis et al [31] focused on the boundary layer effect over solid sheets, Mahabaleshwar et al [32] proposed fluid flow across the stretched surface with heat and mass, while, [33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49] explored the fluid flow over a permeable stretched surface with stagnation-point.…”

Section: Introductionmentioning

confidence: 99%

An influence of temperature jump and Navier’s slip-on hybrid nano fluid flow over a permeable stretching/shrinking sheet with heat transfer and inclined MHD

Sachhin,

Mahabaleshwar,

Huang

et al. 2023

Nanotechnology

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This research article, explores the influence of an inclined magnetic field on the fluid flow over a permeable stretching/shrinking surface with heat transfer. The study use water as a conventional base fluid, with graphene oxide (GO) and Aluminum oxide (Al2O3) nanoparticles submerged to create a nanofluid, the system of governing nonlinear partial differential equations converted into ordinary differential equations via suitable similarity conversions. This allow for the unique solution for stretching sheet/shrinking sheets to be obtained, along with the corresponding temperature solution in terms of the hypergeometric function, several parameters are included in the investigation and their contribution is graphically explained to examine physical characteristics such as radiation, inclined magnetic field, solution domain, volume fraction parameter, and temperature jump. Increasing the volume fraction and thermal radiation increases the thermal boundary layer, increasing the magnetic field parameter and inverse Darcy number increases the temperature and decays the velocity profile. The present work has many useful applications in engineering, biological and physical sciences, as well as in cleaning engine lubricants and thrust-bearing technologies.

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The WAF scheme for the isentropic drift-flux model of compressible two-phase flows

Cited by 23 publications

References 44 publications

Lie group of invariance technique for analyzing propagation of strong shock wave in a rotating non‐ideal gas with azimuthal magnetic field

Lie group of invariance technique for analyzing propagation of strong shock wave in a rotating non‐ideal gas with azimuthal magnetic field

Effect of Ambient Air Temperature on the Compression Wave Propagating along a Railway Tunnel

An influence of temperature jump and Navier’s slip-on hybrid nano fluid flow over a permeable stretching/shrinking sheet with heat transfer and inclined MHD

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