{"title":"由于非线性拉伸/收缩板材,吸力和MHD的影响引起了Navier滑移流动","authors":"I. A. Alias, M. Hafidzuddin","doi":"10.23939/mmc2022.01.083","DOIUrl":null,"url":null,"abstract":"In this study, a problem of a magnetohydrodynamic (MHD) induced Navier slip flow over a non-linear stretching and shrinking sheet with the existence of suction is considered. Similarity transformation is used to transform the governing nonlinear partial differential equations into a system of nonlinear ordinary equations. The transformed ordinary differential equations are then solved by using the Shooting Method in Maple software. Dual solutions are obtained for certain governing parameters. The results obtained show that suction improves skin friction, while the slip parameter reduces shear wall stress. Moreover, it is established that the range of dual solutions for stretching sheet is smaller compared to the shrinking case.","PeriodicalId":37156,"journal":{"name":"Mathematical Modeling and Computing","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Effect of suction and MHD induced Navier slip flow due to a non-linear stretching/shrinking sheet\",\"authors\":\"I. A. Alias, M. Hafidzuddin\",\"doi\":\"10.23939/mmc2022.01.083\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this study, a problem of a magnetohydrodynamic (MHD) induced Navier slip flow over a non-linear stretching and shrinking sheet with the existence of suction is considered. Similarity transformation is used to transform the governing nonlinear partial differential equations into a system of nonlinear ordinary equations. The transformed ordinary differential equations are then solved by using the Shooting Method in Maple software. Dual solutions are obtained for certain governing parameters. The results obtained show that suction improves skin friction, while the slip parameter reduces shear wall stress. Moreover, it is established that the range of dual solutions for stretching sheet is smaller compared to the shrinking case.\",\"PeriodicalId\":37156,\"journal\":{\"name\":\"Mathematical Modeling and Computing\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Modeling and Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23939/mmc2022.01.083\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Modeling and Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23939/mmc2022.01.083","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
Effect of suction and MHD induced Navier slip flow due to a non-linear stretching/shrinking sheet
In this study, a problem of a magnetohydrodynamic (MHD) induced Navier slip flow over a non-linear stretching and shrinking sheet with the existence of suction is considered. Similarity transformation is used to transform the governing nonlinear partial differential equations into a system of nonlinear ordinary equations. The transformed ordinary differential equations are then solved by using the Shooting Method in Maple software. Dual solutions are obtained for certain governing parameters. The results obtained show that suction improves skin friction, while the slip parameter reduces shear wall stress. Moreover, it is established that the range of dual solutions for stretching sheet is smaller compared to the shrinking case.