{"title":"On the Analytical Determination of the Best Form of Flows Past Bodies in a Viscous Continuum","authors":"S. O. Gladkov, N. S. Nagibin","doi":"10.1134/S1063784224700671","DOIUrl":null,"url":null,"abstract":"<p>With the help of the Prandtl equation and using the methods of the variational calculus, we have obtained equations that make it possible to analytically determine the type of contour for which the drag force in a viscous flow past a body becomes the smallest. It is rigorously proved analytically that the longitudinal cross section of a cut of well-streamlined bodies can have different forms depending on the Reynolds number. The equations found are analyzed numerically and illustrated graphically.</p>","PeriodicalId":783,"journal":{"name":"Technical Physics","volume":"69 8","pages":"2344 - 2353"},"PeriodicalIF":1.1000,"publicationDate":"2024-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Technical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1063784224700671","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
With the help of the Prandtl equation and using the methods of the variational calculus, we have obtained equations that make it possible to analytically determine the type of contour for which the drag force in a viscous flow past a body becomes the smallest. It is rigorously proved analytically that the longitudinal cross section of a cut of well-streamlined bodies can have different forms depending on the Reynolds number. The equations found are analyzed numerically and illustrated graphically.
期刊介绍：
Technical Physics is a journal that contains practical information on all aspects of applied physics, especially instrumentation and measurement techniques. Particular emphasis is put on plasma physics and related fields such as studies of charged particles in electromagnetic fields, synchrotron radiation, electron and ion beams, gas lasers and discharges. Other journal topics are the properties of condensed matter, including semiconductors, superconductors, gases, liquids, and different materials.
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