{"title":"Generalization of the Thwaites integral method for laminar boundary-layers due to moving continuous surfaces","authors":"Ahmer Mahmood, Muhammad Awais","doi":"10.1139/cjp-2023-0250","DOIUrl":null,"url":null,"abstract":"In this study, attention has been given towards the development of an approximate method for the boundary-layer flows involving no pressure gradient (the flows due to moving continuous surfaces in a still fluid). The integral method devised in this study is an extension of the existing Thwaites integral method; applicable to boundary-layer flows over the stationary surfaces of finite length (which, in general, involve the pressure gradient because of the presence of external potential flow, except for the case of uniform external flow). The existing Thwaites integral method does not give an acceptable approximation for the flows over moving continuous surfaces in a quiescent fluid, involving no pressure gradient. Therefore, the extension of the existing Thwaites integral method, proposed in this study, will make it applicable to the flows due to moving continuous surfaces in a stationary fluid (involving no pressure gradient), also. With the combination of the two, the existing, and the extended Thwaites integral method, the generalized Thwaites integral method is proposed, applicable to the boundary-layer flows whether involving a pressure gradient or not.","PeriodicalId":9413,"journal":{"name":"Canadian Journal of Physics","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2024-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Canadian Journal of Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1139/cjp-2023-0250","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
In this study, attention has been given towards the development of an approximate method for the boundary-layer flows involving no pressure gradient (the flows due to moving continuous surfaces in a still fluid). The integral method devised in this study is an extension of the existing Thwaites integral method; applicable to boundary-layer flows over the stationary surfaces of finite length (which, in general, involve the pressure gradient because of the presence of external potential flow, except for the case of uniform external flow). The existing Thwaites integral method does not give an acceptable approximation for the flows over moving continuous surfaces in a quiescent fluid, involving no pressure gradient. Therefore, the extension of the existing Thwaites integral method, proposed in this study, will make it applicable to the flows due to moving continuous surfaces in a stationary fluid (involving no pressure gradient), also. With the combination of the two, the existing, and the extended Thwaites integral method, the generalized Thwaites integral method is proposed, applicable to the boundary-layer flows whether involving a pressure gradient or not.
期刊介绍:
The Canadian Journal of Physics publishes research articles, rapid communications, and review articles that report significant advances in research in physics, including atomic and molecular physics; condensed matter; elementary particles and fields; nuclear physics; gases, fluid dynamics, and plasmas; electromagnetism and optics; mathematical physics; interdisciplinary, classical, and applied physics; relativity and cosmology; physics education research; statistical mechanics and thermodynamics; quantum physics and quantum computing; gravitation and string theory; biophysics; aeronomy and space physics; and astrophysics.