Saleh Chebaane , E.O. Fatunmbi , A.M. Obalalu , Mohamed Bouzidi , Turki Alkathiri , Taoufik Saidani , Amir Abbas
{"title":"Heat transfer and rheological analysis of a converging-diverging artery using the Prandtl viscoelastic model with chemical reactions","authors":"Saleh Chebaane , E.O. Fatunmbi , A.M. Obalalu , Mohamed Bouzidi , Turki Alkathiri , Taoufik Saidani , Amir Abbas","doi":"10.1016/j.tsep.2025.103460","DOIUrl":null,"url":null,"abstract":"<div><div>The investigation of blood flow in a converging–diverging artery plays a crucial role in understanding cardiovascular disorders and optimizing biomedical devices such as drug delivery systems, surgical instruments, and nanoparticle-based treatments. This study analyzes the flow dynamics of non-Newtonian Jeffery-Hamel fluid with nanoparticles using the Prandtl viscoelastic model, which effectively captures the complex rheological behavior of blood. The mathematical model incorporates thermophoresis, Brownian motion, chemical reactions, space- and temperature-dependent energy generation, and frictional dissipation effects. The governing partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) via suitable similarity transformations and are numerically solved using the Spectral Collocation Method (SCM) for enhanced accuracy. The results reveal that the Prandtl material and viscosity parameters exhibit opposite effects on blood flow, with viscosity increasing resistance and slowing circulation. The inclusion of partial slip conditions leads to flow reversal and higher resistance forces along the arterial walls, a key factor in understanding arterial diseases. Furthermore, thermophoresis and Brownian motion significantly enhance heat and mass transfer, influencing nanoparticle diffusion and temperature regulation. For a diverging artery (χ > 0), a substantial reduction in flow velocity, temperature, and nanoparticle concentration is observed, providing new insights into post-surgical arterial expansions and aneurysm formations. These findings offer critical implications for medical diagnostics, hyperthermia treatments, and nanoparticle-based drug delivery.</div></div>","PeriodicalId":23062,"journal":{"name":"Thermal Science and Engineering Progress","volume":"60 ","pages":"Article 103460"},"PeriodicalIF":5.1000,"publicationDate":"2025-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Thermal Science and Engineering Progress","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2451904925002501","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENERGY & FUELS","Score":null,"Total":0}
引用次数: 0
Abstract
The investigation of blood flow in a converging–diverging artery plays a crucial role in understanding cardiovascular disorders and optimizing biomedical devices such as drug delivery systems, surgical instruments, and nanoparticle-based treatments. This study analyzes the flow dynamics of non-Newtonian Jeffery-Hamel fluid with nanoparticles using the Prandtl viscoelastic model, which effectively captures the complex rheological behavior of blood. The mathematical model incorporates thermophoresis, Brownian motion, chemical reactions, space- and temperature-dependent energy generation, and frictional dissipation effects. The governing partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) via suitable similarity transformations and are numerically solved using the Spectral Collocation Method (SCM) for enhanced accuracy. The results reveal that the Prandtl material and viscosity parameters exhibit opposite effects on blood flow, with viscosity increasing resistance and slowing circulation. The inclusion of partial slip conditions leads to flow reversal and higher resistance forces along the arterial walls, a key factor in understanding arterial diseases. Furthermore, thermophoresis and Brownian motion significantly enhance heat and mass transfer, influencing nanoparticle diffusion and temperature regulation. For a diverging artery (χ > 0), a substantial reduction in flow velocity, temperature, and nanoparticle concentration is observed, providing new insights into post-surgical arterial expansions and aneurysm formations. These findings offer critical implications for medical diagnostics, hyperthermia treatments, and nanoparticle-based drug delivery.
期刊介绍:
Thermal Science and Engineering Progress (TSEP) publishes original, high-quality research articles that span activities ranging from fundamental scientific research and discussion of the more controversial thermodynamic theories, to developments in thermal engineering that are in many instances examples of the way scientists and engineers are addressing the challenges facing a growing population – smart cities and global warming – maximising thermodynamic efficiencies and minimising all heat losses. It is intended that these will be of current relevance and interest to industry, academia and other practitioners. It is evident that many specialised journals in thermal and, to some extent, in fluid disciplines tend to focus on topics that can be classified as fundamental in nature, or are ‘applied’ and near-market. Thermal Science and Engineering Progress will bridge the gap between these two areas, allowing authors to make an easy choice, should they or a journal editor feel that their papers are ‘out of scope’ when considering other journals. The range of topics covered by Thermal Science and Engineering Progress addresses the rapid rate of development being made in thermal transfer processes as they affect traditional fields, and important growth in the topical research areas of aerospace, thermal biological and medical systems, electronics and nano-technologies, renewable energy systems, food production (including agriculture), and the need to minimise man-made thermal impacts on climate change. Review articles on appropriate topics for TSEP are encouraged, although until TSEP is fully established, these will be limited in number. Before submitting such articles, please contact one of the Editors, or a member of the Editorial Advisory Board with an outline of your proposal and your expertise in the area of your review.