Interaction of waves in one-dimensional dusty gas flow.
The present study uses the theory of weakly nonlinear geometrical acoustics to derive the high-frequency small amplitude asymptotic solution of the one-dimensional quasilinear hyperbolic system of partial differential equations characterizing compressible, unsteady flow with generalized geometry in...
| Publicado en: | Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences Vol. 76; no. 3; pp. 201 - 209 |
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| Autores principales: | , , |
| Formato: | Artículo |
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De Gruyter
Mar2021
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=149108598&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 149108598 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 09320784 FL07 jtl: Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences issn: 09320784 maglogo: N pubinfo: dt: Mar2021 vid: 76 iid: 3 pid: 1734 pub: De Gruyter artinfo: ui: 149108598 10.1515/zna-2020-0061 ppf: 201 ppct: 8 formats: tig: atl: Interaction of waves in one-dimensional dusty gas flow. aug: au: Gupta, Pooja Chaturvedi, Rahul Kumar Singh, L. P. affil: Department of Mathematical Sciences, Indian Institute of Technology (Banaras Hindu University), Varanasi, 221005, India su: Gas flow Multiple scale method Transport equation Shock waves Nonlinear waves Unsteady flow sug: subj: Gas flow Multiple scale method Transport equation Shock waves Nonlinear waves Unsteady flow keyword: asymptotic solution dusty gas interaction shock wave ab: The present study uses the theory of weakly nonlinear geometrical acoustics to derive the high-frequency small amplitude asymptotic solution of the one-dimensional quasilinear hyperbolic system of partial differential equations characterizing compressible, unsteady flow with generalized geometry in ideal gas flow with dust particles. The method of multiple time scales is applied to derive the transport equations for the amplitude of resonantly interacting high-frequency waves in a dusty gas. These transport equations are used for the qualitative analysis of nonlinear wave interaction process and self-interaction of nonlinear waves which exist in the system under study. Further, the evolutionary behavior of weak shock waves propagating in ideal gas flow with dust particles is examined here. The progressive wave nature of nonresonant waves terminating into the shock wave and its location is also studied. Further, we analyze the effect of the small solid particles on the propagation of shock wave. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y dt: @attributes: year: 2021 holdings: @attributes: islocal: N |
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