{"title":"关于Navier滑移和Reynolds蒸腾数","authors":"P. Ziółkowski, J. Badur","doi":"10.24423/AOM.2807","DOIUrl":null,"url":null,"abstract":"In this paper, based on the original argumentation of Reynolds and Maxwell, with consideration of previous experiences of the authors in the nano- and micro-flows area, a general form of boundary forces, that consist of contributions from the friction and the mobility components: f ∂V = f r + f m , has been extended to common effects of the bulk and surface motion. Hence, adopting Reynolds’ reasoning to a porous media as a whole, we reexamine the Poiseuille–Knudsen–Reynolds equation in terms of the sum of three contributions: the bulk pressure-driven flow, and two mobility surface forces, namely the Knudsen surface slip-driven flow and the Reynolds surface thermally-driven flow. The main motivation of our work is to find the dimensionless contribution of the Navier slip number and the Reynolds thermal transpiration number in materials with high volumetric surface density.","PeriodicalId":8280,"journal":{"name":"Archives of Mechanics","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2018-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"On Navier slip and Reynolds transpiration numbers\",\"authors\":\"P. Ziółkowski, J. Badur\",\"doi\":\"10.24423/AOM.2807\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, based on the original argumentation of Reynolds and Maxwell, with consideration of previous experiences of the authors in the nano- and micro-flows area, a general form of boundary forces, that consist of contributions from the friction and the mobility components: f ∂V = f r + f m , has been extended to common effects of the bulk and surface motion. Hence, adopting Reynolds’ reasoning to a porous media as a whole, we reexamine the Poiseuille–Knudsen–Reynolds equation in terms of the sum of three contributions: the bulk pressure-driven flow, and two mobility surface forces, namely the Knudsen surface slip-driven flow and the Reynolds surface thermally-driven flow. The main motivation of our work is to find the dimensionless contribution of the Navier slip number and the Reynolds thermal transpiration number in materials with high volumetric surface density.\",\"PeriodicalId\":8280,\"journal\":{\"name\":\"Archives of Mechanics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2018-06-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archives of Mechanics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.24423/AOM.2807\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATERIALS SCIENCE, CHARACTERIZATION & TESTING\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archives of Mechanics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.24423/AOM.2807","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATERIALS SCIENCE, CHARACTERIZATION & TESTING","Score":null,"Total":0}
In this paper, based on the original argumentation of Reynolds and Maxwell, with consideration of previous experiences of the authors in the nano- and micro-flows area, a general form of boundary forces, that consist of contributions from the friction and the mobility components: f ∂V = f r + f m , has been extended to common effects of the bulk and surface motion. Hence, adopting Reynolds’ reasoning to a porous media as a whole, we reexamine the Poiseuille–Knudsen–Reynolds equation in terms of the sum of three contributions: the bulk pressure-driven flow, and two mobility surface forces, namely the Knudsen surface slip-driven flow and the Reynolds surface thermally-driven flow. The main motivation of our work is to find the dimensionless contribution of the Navier slip number and the Reynolds thermal transpiration number in materials with high volumetric surface density.
期刊介绍:
Archives of Mechanics provides a forum for original research on mechanics of solids, fluids and discrete systems, including the development of mathematical methods for solving mechanical problems. The journal encompasses all aspects of the field, with the emphasis placed on:
-mechanics of materials: elasticity, plasticity, time-dependent phenomena, phase transformation, damage, fracture; physical and experimental foundations, micromechanics, thermodynamics, instabilities;
-methods and problems in continuum mechanics: general theory and novel applications, thermomechanics, structural analysis, porous media, contact problems;
-dynamics of material systems;
-fluid flows and interactions with solids.
Papers published in the Archives should contain original contributions dealing with theoretical, experimental, or numerical aspects of mechanical problems listed above.
The journal publishes also current announcements and information about important scientific events of possible interest to its readers, like conferences, congresses, symposia, work-shops, courses, etc.
Occasionally, special issues of the journal may be devoted to publication of all or selected papers presented at international conferences or other scientific meetings. However, all papers intended for such an issue are subjected to the usual reviewing and acceptance procedure.