{"title":"DARCY-BRINKMAN FLOW IN AN ANISOTROPIC ROTATING POROUS CHANNEL UNDER THE INFLUENCE OF MAGNETIC FIELD","authors":"Vineet Kumar Verma, ABDUL FAIZ ANSARI","doi":"10.1615/jpormedia.2023050260","DOIUrl":null,"url":null,"abstract":"In the present paper, influence of the magnetic field on a viscous incompressible conducting fluid flow through an anisotropic rotating porous channel is considered. The flow within the porous channel is governed by Brinkman equation. No-slip boundary condition is used on walls of the channel. An analytical solution for the primary and secondary velocities are obtained. The influence of various parameters such as Hartmann number, Taylor number and Darcy number on the flow is discussed in the paper. Velocity and volumetric flow rate in the primary and secondary directions are exhibited graphically and in tabular form.","PeriodicalId":50082,"journal":{"name":"Journal of Porous Media","volume":"33 1","pages":""},"PeriodicalIF":2.5000,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Porous Media","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1615/jpormedia.2023050260","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0
Abstract
In the present paper, influence of the magnetic field on a viscous incompressible conducting fluid flow through an anisotropic rotating porous channel is considered. The flow within the porous channel is governed by Brinkman equation. No-slip boundary condition is used on walls of the channel. An analytical solution for the primary and secondary velocities are obtained. The influence of various parameters such as Hartmann number, Taylor number and Darcy number on the flow is discussed in the paper. Velocity and volumetric flow rate in the primary and secondary directions are exhibited graphically and in tabular form.
期刊介绍:
The Journal of Porous Media publishes original full-length research articles (and technical notes) in a wide variety of areas related to porous media studies, such as mathematical modeling, numerical and experimental techniques, industrial and environmental heat and mass transfer, conduction, convection, radiation, particle transport and capillary effects, reactive flows, deformable porous media, biomedical applications, and mechanics of the porous substrate. Emphasis will be given to manuscripts that present novel findings pertinent to these areas. The journal will also consider publication of state-of-the-art reviews. Manuscripts applying known methods to previously solved problems or providing results in the absence of scientific motivation or application will not be accepted. Submitted articles should contribute to the understanding of specific scientific problems or to solution techniques that are useful in applications. Papers that link theory with computational practice to provide insight into the processes are welcome.