{"title":"重力驱动的热分层纳米流体流过可渗透的拉伸表面","authors":"Saheb Konai, Swati Mukhopadhyay","doi":"10.1007/s12043-025-02895-7","DOIUrl":null,"url":null,"abstract":"<div><p>This study offers an analysis of the gravity-driven thermally stratified laminar nanoliquid flow past a permeable stretching surface with vanishing flux of nanoparticles. Two-phase fluid model is used for the nanofluids. By the application of similarity transformations, the partial differential equations (PDEs) that govern the problem are converted to ordinary differential equations (ODEs) which are extremely nonlinear. By using the shooting technique and Runge–Kutta (R–K) method, those equations are numerically solved. Shear stress at the surface and rate of surface mass transfer decrease but rate of heat transport at the surface rises for the enhancement of mass transpiration parameter. Temperature and concentration of the nanofluid are found to fall, but the liquid’s velocity rises with the rising buoyancy parameter. Concentration of the nanofluid increases but velocity of the liquid and temperature diminish when the thermal stratification parameter increases.\n</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 1","pages":""},"PeriodicalIF":1.9000,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Gravity-driven thermally stratified nanofluid flow past a permeable stretching surface\",\"authors\":\"Saheb Konai, Swati Mukhopadhyay\",\"doi\":\"10.1007/s12043-025-02895-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This study offers an analysis of the gravity-driven thermally stratified laminar nanoliquid flow past a permeable stretching surface with vanishing flux of nanoparticles. Two-phase fluid model is used for the nanofluids. By the application of similarity transformations, the partial differential equations (PDEs) that govern the problem are converted to ordinary differential equations (ODEs) which are extremely nonlinear. By using the shooting technique and Runge–Kutta (R–K) method, those equations are numerically solved. Shear stress at the surface and rate of surface mass transfer decrease but rate of heat transport at the surface rises for the enhancement of mass transpiration parameter. Temperature and concentration of the nanofluid are found to fall, but the liquid’s velocity rises with the rising buoyancy parameter. Concentration of the nanofluid increases but velocity of the liquid and temperature diminish when the thermal stratification parameter increases.\\n</p></div>\",\"PeriodicalId\":743,\"journal\":{\"name\":\"Pramana\",\"volume\":\"99 1\",\"pages\":\"\"},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2025-03-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Pramana\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s12043-025-02895-7\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pramana","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s12043-025-02895-7","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Gravity-driven thermally stratified nanofluid flow past a permeable stretching surface
This study offers an analysis of the gravity-driven thermally stratified laminar nanoliquid flow past a permeable stretching surface with vanishing flux of nanoparticles. Two-phase fluid model is used for the nanofluids. By the application of similarity transformations, the partial differential equations (PDEs) that govern the problem are converted to ordinary differential equations (ODEs) which are extremely nonlinear. By using the shooting technique and Runge–Kutta (R–K) method, those equations are numerically solved. Shear stress at the surface and rate of surface mass transfer decrease but rate of heat transport at the surface rises for the enhancement of mass transpiration parameter. Temperature and concentration of the nanofluid are found to fall, but the liquid’s velocity rises with the rising buoyancy parameter. Concentration of the nanofluid increases but velocity of the liquid and temperature diminish when the thermal stratification parameter increases.
期刊介绍:
Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.