{"title":"材料自传播高温合成的有限差分模型","authors":"C.R. Bowen , B. Derby","doi":"10.1016/0956-7151(95)90173-6","DOIUrl":null,"url":null,"abstract":"<div><p>The modelling of self-propagating high-temperature reactions is attempted using a finite difference model. The model is described and model results are compared with experimentally observed combustion wave velocities for the reaction 3TiO<sub>2</sub> + 4Al + 3C → 3tiC + 2Al<sub>2</sub>O<sub>3</sub> using various processing parameters (diluents, preheating etc.). The model is extended to derive a parameter which determines under what conditions a reaction will become self-propagating.</p></div>","PeriodicalId":100018,"journal":{"name":"Acta Metallurgica et Materialia","volume":"43 10","pages":"Pages 3903-3913"},"PeriodicalIF":0.0000,"publicationDate":"1995-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0956-7151(95)90173-6","citationCount":"19","resultStr":"{\"title\":\"Finite-difference modelling of self-propagating high-temperature synthesis of materials\",\"authors\":\"C.R. Bowen , B. Derby\",\"doi\":\"10.1016/0956-7151(95)90173-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The modelling of self-propagating high-temperature reactions is attempted using a finite difference model. The model is described and model results are compared with experimentally observed combustion wave velocities for the reaction 3TiO<sub>2</sub> + 4Al + 3C → 3tiC + 2Al<sub>2</sub>O<sub>3</sub> using various processing parameters (diluents, preheating etc.). The model is extended to derive a parameter which determines under what conditions a reaction will become self-propagating.</p></div>\",\"PeriodicalId\":100018,\"journal\":{\"name\":\"Acta Metallurgica et Materialia\",\"volume\":\"43 10\",\"pages\":\"Pages 3903-3913\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1995-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0956-7151(95)90173-6\",\"citationCount\":\"19\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Metallurgica et Materialia\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0956715195901736\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Metallurgica et Materialia","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0956715195901736","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Finite-difference modelling of self-propagating high-temperature synthesis of materials
The modelling of self-propagating high-temperature reactions is attempted using a finite difference model. The model is described and model results are compared with experimentally observed combustion wave velocities for the reaction 3TiO2 + 4Al + 3C → 3tiC + 2Al2O3 using various processing parameters (diluents, preheating etc.). The model is extended to derive a parameter which determines under what conditions a reaction will become self-propagating.