Weak discontinuities in one-dimensional compressible nonideal gas dynamics

2022 ◽  
Vol 0 (0) ◽  
Author(s):  
Shobhit Kumar Srivastava ◽  
Rahul Kumar Chaturvedi ◽  
Lal Pratap Singh
Keyword(s):  
Van Der Waals ◽  
Hyperbolic Partial Differential Equations ◽  
Dust Particles ◽  
Symmetric Flow ◽  
One Dimensional ◽  
Characteristic Plane ◽  
Nonideal Gas ◽  
Weak Discontinuities ◽  
Quasi Linear System ◽  
Small Dust

Abstract This article concerns the study of various parameter effects on the propagation of weak discontinuities by using the method of characteristics. Analytical solutions of the quasi-linear system of hyperbolic partial differential equations (PDEs) are obtained and examined the evolutionary behavior of shock in the characteristic plane. The general behavior of solutions to the Bernoulli equation, which determines the evolution of weak discontinuity in a nonlinear system, is studied in detail. Also, we discuss the formation and distortion of compressive and expansive discontinuities under the van der Waals parameter effect and small particles for planar and cylindrical symmetric flow. The comparison between planar flow and cylindrical symmetric flow is studied under the influence of nonidealness and mass fraction of dust particles. It is found that the compressive waves become shock after a certain lapse of time. The medium considered here is the mixture of van der Waals gas with small dust particles.

Study of shocks in a nonideal dusty gas using Maslov, Guderley, and CCW methods for shock exponents

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Swati Chauhan ◽  
Antim Chauhan ◽  
Rajan Arora
Keyword(s):  
Shock Waves ◽  
Mass Fraction ◽  
Strong Shock ◽  
Dust Particles ◽  
Excluded Volume ◽  
One Dimensional ◽  
First Order ◽  
Nonideal Gas ◽  
Spherical Shock ◽  
Strong Shock Waves

Abstract In this work, we consider the system of partial differential equations describing one-dimensional (1D) radially symmetric (i.e., cylindrical or spherical) flow of a nonideal gas with small solid dust particles. We analyze the implosion of cylindrical and spherical symmetric strong shock waves in a mixture of a nonideal gas with small solid dust particles. An evolution equation for the strong cylindrical and spherical shock waves is derived by using the Maslov technique based on the kinematics of 1D motion. The approximate value of the similarity exponent describing the behavior of strong shocks is calculated by applying a first-order truncation approximation. The obtained approximate values of similarity exponent are compared with the values of the similarity exponent obtained from Whitham’s rule and Guderley’s method. All the above computations are performed for the different values of mass fraction of dust particles, relative specific heat, and the ratio of the density of dust particle to the density of the mixture and van der Waals excluded volume.

scholarly journals High performance self-powered photodetector based on 1D Te-2D WS2 mixed-dimensional heterostructure

2021 ◽  
Author(s):  
Lixiang Han ◽  
Mengmeng Yang ◽  
Peiting Wen ◽  
Wei Gao ◽  
nengjie huo ◽  
...  
Keyword(s):  
High Performance ◽  
Van Der Waals ◽  
Sharp Interface ◽  
Two Dimensional ◽  
High Quality ◽  
One Dimensional ◽  
Self Powered

One dimensional (1D)-two dimensional (2D) van der Waals (vdWs) mixed-dimensional heterostructures with advantages of atomically sharp interface, high quality and good compatibility have attracted tremendous attention in recent years. The...

Kinetics-Driven One-Dimensional Growth of van der Waals Layered SnSe

2021 ◽  
Author(s):  
Zhibin Liu ◽  
Keda Ding ◽  
Zhifu Liu ◽  
Faqiang Zhang ◽  
Huarong Zeng ◽  
...  
Keyword(s):  
Van Der Waals ◽  
One Dimensional ◽  
Dimensional Growth

scholarly journals Unique features of the generation–recombination noise in quasi-one-dimensional van der Waals nanoribbons

Nanoscale ◽  
2018 ◽  
Vol 10 (42) ◽  
pp. 19749-19756 ◽  
Author(s):  
Adane K. Geremew ◽  
Sergey Rumyantsev ◽  
Matthew A. Bloodgood ◽  
Tina T. Salguero ◽  
Alexander A. Balandin
Keyword(s):  
Carrying Capacity ◽  
Van Der Waals ◽  
Low Frequency ◽  
Current Fluctuations ◽  
Electronic Noise ◽  
High Current ◽  
One Dimensional ◽  
Frequency Current

We describe the low-frequency current fluctuations, i.e. electronic noise, in quasi-one-dimensional ZrTe3 van der Waals nanoribbons, which have recently attracted attention owing to their extraordinary high current carrying capacity.

scholarly journals Efficient growth and characterization of one-dimensional transition metal tellurides inside carbon nanotubes

Nanoscale ◽  
2020 ◽  
Vol 12 (33) ◽  
pp. 17185-17190 ◽  
Author(s):  
Naoyuki Kanda ◽  
Yusuke Nakanishi ◽  
Dan Liu ◽  
Zheng Liu ◽  
Tsukasa Inoue ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Transition Metal ◽  
Van Der Waals ◽  
One Dimensional ◽  
Van Der Waals Materials

Confinement of van der Waals materials inside 1D carbon nanotubes leads to properties not observed in the bulk.

scholarly journals Dust Evolution in Protoplanetary Disks

1996 ◽  
Vol 150 ◽  
pp. 513-516
Author(s):  
Thomas Henning ◽  
Wolfgang Schmitt ◽  
Hubert Klahr ◽  
Rastislav Mucha
Keyword(s):  
Numerical Study ◽  
Dynamical Evolution ◽  
Dynamical Behaviour ◽  
Young Stellar Objects ◽  
Dust Particles ◽  
Circumstellar Disk ◽  
Stellar Objects ◽  
One Dimensional ◽  
First Results ◽  
Dust Evolution

AbstractThe evolution of dust particles in circumstellar disk-like structures around protostars and young stellar objects is discussed. We especially consider the coagulation of grains due to collisional aggregation and the influence of this process on the optical properties of the particles. These dust opacities are important for both the derivation of the circumstellar dust mass from submillimetre continuum observations and the dynamical behaviour of the disks.We present first results of a numerical study of the coagulation of dust grains in a turbulent protoplanetary accretion disk described by a time-dependent one-dimensional (radial) “alpha” model. The influence of grain opacity changes due to dust coagulation on the dynamical evolution of a protostellar disk is investigated. In addition, we consider the grain motion in two-dimensional disks.

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