{"title":"Numerical simulation for steady Casson nanofluid flow over curved stretching sheet with mixed convection and viscous dissipation effects","authors":"Amara Bibi, Javeria Nawaz Abbasi","doi":"10.1007/s11043-026-09921-0","DOIUrl":null,"url":null,"abstract":"<div><p>The steady Casson nanofluid flow over a curved stretched sheet is numerically analyzed in this work while taking viscous dissipation and mixed convection into account. Nanoparticles improve heat transport, the non-Newtonian behavior is described by the Casson model. To represent boundary-layer flow over a curved surface, a local non-similarity transformation converts the nonlinear PDEs into linked ODEs with variable coefficients. MATLAB bvp4c is used to numerically solve the resulting equations. Analysis is done on the effects of the Eckert number, mixed convection, curvature, Casson parameter, and nanoparticle volume percent. The findings indicate that while viscous dissipation and mixed convection have opposing thermal effects, curvature greatly modifies the flow. In addition to improving thermal performance, the introduction of nanoparticles increases the system’s sensitivity to buoyancy and viscosity effects. The results directly affect high-precision heat systems in polymer extrusion, microfluidics, and bioengineering applications and advance our knowledge of intricate transport processes in curved geometries.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 4","pages":""},"PeriodicalIF":4.5000,"publicationDate":"2026-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Time-Dependent Materials","FirstCategoryId":"88","ListUrlMain":"https://link.springer.com/article/10.1007/s11043-026-09921-0","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, CHARACTERIZATION & TESTING","Score":null,"Total":0}
引用次数: 0
Abstract
The steady Casson nanofluid flow over a curved stretched sheet is numerically analyzed in this work while taking viscous dissipation and mixed convection into account. Nanoparticles improve heat transport, the non-Newtonian behavior is described by the Casson model. To represent boundary-layer flow over a curved surface, a local non-similarity transformation converts the nonlinear PDEs into linked ODEs with variable coefficients. MATLAB bvp4c is used to numerically solve the resulting equations. Analysis is done on the effects of the Eckert number, mixed convection, curvature, Casson parameter, and nanoparticle volume percent. The findings indicate that while viscous dissipation and mixed convection have opposing thermal effects, curvature greatly modifies the flow. In addition to improving thermal performance, the introduction of nanoparticles increases the system’s sensitivity to buoyancy and viscosity effects. The results directly affect high-precision heat systems in polymer extrusion, microfluidics, and bioengineering applications and advance our knowledge of intricate transport processes in curved geometries.
期刊介绍:
Mechanics of Time-Dependent Materials accepts contributions dealing with the time-dependent mechanical properties of solid polymers, metals, ceramics, concrete, wood, or their composites. It is recognized that certain materials can be in the melt state as function of temperature and/or pressure. Contributions concerned with fundamental issues relating to processing and melt-to-solid transition behaviour are welcome, as are contributions addressing time-dependent failure and fracture phenomena. Manuscripts addressing environmental issues will be considered if they relate to time-dependent mechanical properties.
The journal promotes the transfer of knowledge between various disciplines that deal with the properties of time-dependent solid materials but approach these from different angles. Among these disciplines are: Mechanical Engineering, Aerospace Engineering, Chemical Engineering, Rheology, Materials Science, Polymer Physics, Design, and others.