{"title":"热传导气体的局部压缩状态","authors":"V.V. Gudkov, A.P. Mikhailov, V.V. Stepanova","doi":"10.1016/0041-5553(90)90088-A","DOIUrl":null,"url":null,"abstract":"<div><p>The effect of limiting regimes with peaking on a compressible sphere with thermal conductivity <em>χ</em> = <em>χ</em><sub>0</sub><em>ρ</em><sup><em>α</em></sup><em>T</em><sup><em>β</em></sup>, <em>β</em> > 0, is examined. The investigation is carried out for selfsimilar solutions of the power type. Conditions are established for shockless supercompression of the material and joint localization of the thermal and gas-dynamic processes, which depend on the thermophysical properties of the medium and the limiting law. The phenomena are also investigated numerically.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 130-138"},"PeriodicalIF":0.0000,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90088-A","citationCount":"0","resultStr":"{\"title\":\"Localized compression regimes in a heat-conducting gas\",\"authors\":\"V.V. Gudkov, A.P. Mikhailov, V.V. Stepanova\",\"doi\":\"10.1016/0041-5553(90)90088-A\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The effect of limiting regimes with peaking on a compressible sphere with thermal conductivity <em>χ</em> = <em>χ</em><sub>0</sub><em>ρ</em><sup><em>α</em></sup><em>T</em><sup><em>β</em></sup>, <em>β</em> > 0, is examined. The investigation is carried out for selfsimilar solutions of the power type. Conditions are established for shockless supercompression of the material and joint localization of the thermal and gas-dynamic processes, which depend on the thermophysical properties of the medium and the limiting law. The phenomena are also investigated numerically.</p></div>\",\"PeriodicalId\":101271,\"journal\":{\"name\":\"USSR Computational Mathematics and Mathematical Physics\",\"volume\":\"30 2\",\"pages\":\"Pages 130-138\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0041-5553(90)90088-A\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"USSR Computational Mathematics and Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/004155539090088A\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"USSR Computational Mathematics and Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/004155539090088A","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
带峰的极限制度对热导率可压缩球的影响χ = χ0ρα t β， β >0，被检查。对幂型自相似解进行了研究。根据介质的热物理性质和极限规律，建立了材料的无冲击超压缩条件和热动力和气动力过程的结合部局部化条件。对这些现象也进行了数值研究。
Localized compression regimes in a heat-conducting gas
The effect of limiting regimes with peaking on a compressible sphere with thermal conductivity χ = χ0ραTβ, β > 0, is examined. The investigation is carried out for selfsimilar solutions of the power type. Conditions are established for shockless supercompression of the material and joint localization of the thermal and gas-dynamic processes, which depend on the thermophysical properties of the medium and the limiting law. The phenomena are also investigated numerically.
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