Discontinuity wave interactions in generalized magnetogasdynamics

Zeidan, Dia; Govekar, Sweta; Pandey, Manoj

doi:10.1016/j.actaastro.2020.12.025

Cited by 20 publications

(5 citation statements)

References 26 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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“…And in addition, the smooth solution of hyperbolic partial differential will be in finite time, breaking within a finite time gives rise to the concept of discontinuous waves. Dia Zeidan et al [34][35] studied the evolution of the plane and cylindrical symmetric motion of the gas dynamics equations and discontinuity surfaces using the van der Waals model for magnetic gases. Rahul Kumar Chaturvedi et al 36 also studied the Riemann and non-classical Riemann solutions of the nonsimultaneous partial differential equations for the fluid MCG model, obtaining that the fundamental in the solution waveforms can change due to external forces.…”

Section: Mathematical Methods and The Application In Other Fieldsmentioning

confidence: 99%

Research on nonlinear model and fuzzy fractional order PI^λD^μcontrol of air suspension system

Wang

et al. 2021

Journal of Low Frequency Noise, Vibration and Active Control

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To improve the ride comfort of wheeled armored vehicles, air springs are used. To describe the vehicle motion more accurately, a nine-degree-of-freedom air suspension system for the whole vehicle was established, and its equations of motion were derived. Through theoretical analysis of the stiffness characteristics and forces on the air springs, the nonlinear restoring force was obtained as a cubic polynomial of the air spring displacement. The simulation results obtained by fitting the polynomial and radial basis function curves with MATLAB/Simulink software are consistent with the actual test results, thus verifying the correctness of the nonlinear air spring polynomial model. Finally, a fuzzy fractional order PIλDμ controller is designed and simulated for the vehicle-seat-body model in terms of wheel dynamic load, suspension dynamic deflection, body acceleration, and other indicators. The simulation results show that the fuzzy fractional order PIλDμ Proportion Integral Differential (PID) control strategy has better overall performance than the PID control strategy, fuzzy control strategy, and fuzzy PID control strategy.

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“…In recent studies, extensive applications of one dimensional analytical and numerical solutions have been suggested for interpreting flow physics. 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.…”

Section: Introductionmentioning

confidence: 99%

“…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). Similarly, Zeidan et al (2006) proposed a solution for the more complicated two-phase compressible flows using one dimensional analysis.…”

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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Discontinuity wave interactions in generalized magnetogasdynamics

Cited by 20 publications

References 26 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

Research on nonlinear model and fuzzy fractional order PI^λD^μcontrol of air suspension system

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

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Discontinuity wave interactions in generalized magnetogasdynamics

Cited by 20 publications

References 26 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

Research on nonlinear model and fuzzy fractional order PIλDμcontrol of air suspension system

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

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Research on nonlinear model and fuzzy fractional order PI^λD^μcontrol of air suspension system