{"title":"Flow of EMHD nanofluid in curved channel through corrugated walls","authors":"Madhia Rashid, Sohail Nadeem","doi":"10.1007/s11766-022-3899-6","DOIUrl":null,"url":null,"abstract":"<div><p>The present examination deals with the effects of nanofluids on corrugated walls under the influence of electromagnetohydrodynamic (EMHD) in the curved channel. The investigation is carried out by water-based nanofluids using copper nanoparticle. Firstly performed the mathematical modelling by applying the method of perturbation, we have evaluated analytical solutions for the velocity and temperature. For the corrugations of the two walls periodic sine waves are described for small amplitude either in phase or out of phase. By using numerical calculations we analyzed the corrugation effects on the velocity and temperature for EMHD flow. The physical effects of flow variables like Hartmann number, Volumetric concentration of nanoparticles, Grashof number, Curvature parameter and Heat absorption coefficient are graphically discussed. Moreover, the effect of Curvature parameter on Stresses and Nusselt number is discussed through tables. The velocity and temperature decrease when the curvature parameter is increased. The electromagnetohydrodynamic (EMHD) velocity and temperature distributions show that 0° is the phase difference between the two walls for in phase and the phase difference is equal to the 180° between two walls for out of phase. The important conclusion is that reducing the unobvious wave effect on the velocity and temperature for a small value of amplitude ratio parameter.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"37 4","pages":"513 - 529"},"PeriodicalIF":1.0000,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-022-3899-6.pdf","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics-A Journal of Chinese Universities Series B","FirstCategoryId":"1089","ListUrlMain":"https://link.springer.com/article/10.1007/s11766-022-3899-6","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
The present examination deals with the effects of nanofluids on corrugated walls under the influence of electromagnetohydrodynamic (EMHD) in the curved channel. The investigation is carried out by water-based nanofluids using copper nanoparticle. Firstly performed the mathematical modelling by applying the method of perturbation, we have evaluated analytical solutions for the velocity and temperature. For the corrugations of the two walls periodic sine waves are described for small amplitude either in phase or out of phase. By using numerical calculations we analyzed the corrugation effects on the velocity and temperature for EMHD flow. The physical effects of flow variables like Hartmann number, Volumetric concentration of nanoparticles, Grashof number, Curvature parameter and Heat absorption coefficient are graphically discussed. Moreover, the effect of Curvature parameter on Stresses and Nusselt number is discussed through tables. The velocity and temperature decrease when the curvature parameter is increased. The electromagnetohydrodynamic (EMHD) velocity and temperature distributions show that 0° is the phase difference between the two walls for in phase and the phase difference is equal to the 180° between two walls for out of phase. The important conclusion is that reducing the unobvious wave effect on the velocity and temperature for a small value of amplitude ratio parameter.
期刊介绍:
Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects.
The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry.
Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.