ASYMPTOTICAL SOLUTIONS FOR A VIBRATIONALLY RELAXING GAS

Author:

Arora Rajan1

Affiliation:

1. DPT, IIT Roorkee, Saharanpur Campus Saharanpur-247001, U.P., India

Abstract

Using the weakly non‐linear geometrical acoustics theory, we obtain the small amplitude high frequency asymptotic solution to the basic equations governing one dimensional unsteady planar, spherically and cylindrically symmetric flow in a vibrationally relaxing gas with Van der Waals equation of state. The transport equations for the amplitudes of resonantly interacting waves are derived. The evolutionary behavior of non‐resonant wave modes culminating into shock waves is also studied.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. UNIFORMLY VALID ASYMPTOTICS FOR CARRIER’S MATHEMATICAL MODEL OF STRING OSCILLATIONS;Mathematical Modelling and Analysis;2017-05-19

2. Evolution of weak waves and central expansion waves in a non-ideal relaxing gas;Ain Shams Engineering Journal;2016-03

3. One dimensional steepening of waves in non-ideal relaxing gas;International Journal of Non-Linear Mechanics;2015-12

4. Wave Interaction and Resonance in a Non-Ideal Gas;Chinese Physics Letters;2012-12

5. ASYMPTOTICAL ANALYSIS OF SOME COUPLED NONLINEAR WAVE EQUATIONS;Mathematical Modelling and Analysis;2011-04-08

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3