International Journal of Numerical Methods for Heat & Fluid Flow最新文献

{"title":"AI-driven analysis of bioconvective Casson–Williamson penta-hybrid nanofluid flow over exponentially stretching surface using ANN and physics-informed neural networks","authors":"Neissrien Alhubieshi,Maimoona Karim,Ayesha Riasat,Wasim Jamshed,Samah Abdelati Haroun,Hosam Faqeha,Kamel Guedri,Syed Modassir Hussain,Hijaz Ahmad","doi":"10.1108/hff-06-2026-0833","DOIUrl":"https://doi.org/10.1108/hff-06-2026-0833","url":null,"abstract":"Purpose This study aims to explore the bioconvective flow of a Casson–Williamson penta-hybrid nanofluid across an exponentially stretching permeable surface. The analysis accounts for the joint effects of a magnetic field, porous medium, thermal radiation, Brownian motion, thermophoresis, heat generation and chemical reaction on the transport behavior. Design/methodology/approach The physical problem is described through the governing partial differential equations for momentum, energy, concentration and the movement of motile microorganisms. Suitable similarity transformations reduce these dimensional equations into a coupled set of nonlinear ordinary differential equations, which are then solved numerically using the bvp4c technique in MATLAB. To complement the numerical work, an artificial neural network based on the Levenberg–Marquardt Algorithm (ANN-LMA) and a physics-informed NN (PINN) framework are constructed to predict the Nusselt number across mono-hybrid, tri-hybrid, tetra-hybrid and penta-hybrid nanoparticle systems. Findings The results reveal that increasing the magnetic field, porosity, Casson and Williamson parameters slows the fluid motion, while thermal radiation, Brownian motion, thermophoresis and heat generation raise the temperature within the boundary layer. The density of motile microorganisms falls as the Lewis and Peclet numbers grow. A comparative assessment shows that the penta-hybrid nanofluid outperforms the mono-hybrid, tri-hybrid and tetra-hybrid systems in heat transfer, mass transport and microorganism flux, a consequence of the stronger interaction among the dispersed nanoparticles. Originality/value Both the ANN-LMA and PINN models achieve very low mean squared error values and align closely with the numerical solutions, capturing the heat transfer response with notable precision. This work highlights the practical importance of penta-hybrid nanofluids and neural-network-based prediction tools for advanced thermal engineering and bioconvective transport applications. The ANN-LMA and PINN models achieved correlation coefficients close to unity (R≈1) and MSEs of the order of 10−10, confirming excellent predictive accuracy.","PeriodicalId":14263,"journal":{"name":"International Journal of Numerical Methods for Heat & Fluid Flow","volume":"21 1","pages":"1-61"},"PeriodicalIF":4.2,"publicationDate":"2026-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149208784","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"On the Tantawy technique for analyzing the damped fractional Schamel-KdV equation and modeling dissipative solitons in non-Maxwellian plasmas","authors":"Samir A. El-Tantawy,Wedad Albalawi,Rajaa T. Matoog","doi":"10.1108/hff-06-2026-0901","DOIUrl":"https://doi.org/10.1108/hff-06-2026-0901","url":null,"abstract":"Purpose Dissipative integer and fractional ion-acoustic solitary waves in non-Maxwellian plasmas are commonly modeled by Korteweg-de Vries (KdV)-type equations, yet collisional damping, electron trapping, and fractional-order memory have so far been treated separately, leaving their combined effect on wave propagation largely unexamined. Because the resulting damped Schamel-KdV equation is non-integrable even at integer order, no closed-form solution exists, and this work aims to construct and validate semi-analytical approximations for both its integer- and time-fractional forms. Design/methodology/approach Starting from a one-dimensional fluid description with inertial ions, Maxwellian positrons, and non-Maxwellian Schamel electrons, the reductive perturbation technique is used to derive a planar damped Schamel-KdV equation with fractal nonlinearity, together with its time-fractional Caputo counterpart. The integer-order model is treated by tailored ansatz formulations, while the fractional model is analyzed via the Tantawy technique (TT), implemented through two algorithms designed to handle the Schamel-type nonlinearity and the stiff fractional dynamics. Findings The constructed semi-analytical solutions reproduce, with high accuracy, the amplitude decay, broadening, and polarity behavior of the dissipative solitons under collisional damping and memory effects. Absolute and global maximum residual errors confirm that the Tantawy technique (TT) yields accurate, low-cost fractional approximations with clear dependence on the plasma and fractional parameters, and the residual-error comparison identifies which integer-order ansatz correctly reproduces the expected amplitude decay among several competing candidates. The fractional order is shown to act as an additional control parameter governing the propagation of dissipative Schamel-KdV solitons in regimes beyond the reach of classical integer-order models. Practical implications The proposed formulation offers a compact, adaptable framework for modeling dissipative electrostatic structures in multicomponent space and laboratory plasmas with trapped electrons, collisional damping, and nonlocal memory, and the combined ansatz-Tantawy methodology can be extended to other damped KdV-type equations in fluid and thermal transport problems where non-Maxwellian statistics and fractional effects are relevant. Originality/value This is the first formulation and analysis of a damped time-fractional Schamel-KdV equation for non-Maxwellian electron-positron-ion plasmas and the first application of the TT to a stiff, dissipative, Schamel-type model. The study shows that Schamel-type nonlinearity, collisional damping, and fractional-order memory can be captured within a single semi-analytical framework, extending the range of dissipative solitary-wave configurations tractable without exclusive recourse to numerical simulation.","PeriodicalId":14263,"journal":{"name":"International Journal of Numerical Methods for Heat & Fluid Flow","volume":"14 1","pages":"1-40"},"PeriodicalIF":4.2,"publicationDate":"2026-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149208785","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Instability of natural convection in a vertical flat porous microchannel","authors":"Andriy A. Avramenko,Igor V. Shevchuk,Andrii S. Kobzar","doi":"10.1108/hff-04-2026-0583","DOIUrl":"https://doi.org/10.1108/hff-04-2026-0583","url":null,"abstract":"Purpose This paper aims to focus on the hydrodynamic stability of steady-state natural convection inside a vertical flat porous microchannel. The main objective is to investigate the transition conditions from stable to unstable flow under the Boussinesq approximation, explicitly incorporating velocity slip and temperature jump boundary conditions at the channel walls. Design/methodology/approach For the first time for this specific channel geometry, the small perturbation method is applied to derive a modified Orr–Sommerfeld equation that accounts for microscale effects and porous media properties. The resulting eigenvalue problem is solved numerically to determine the neutral stability thresholds and analyze the comprehensive effects of the Knudsen, Darcy and Prandtl numbers on the flow behavior. Findings Critical Grashof numbers, where the imaginary part of the eigenvalues changes sign, were successfully determined. The slip effect acts as a stabilizing factor because reduced fluid-wall interaction lowers friction, requiring a higher temperature difference to destabilize the flow. Conversely, increasing the Darcy number reduces the critical Grashof number toward an asymptotic constant, as less porous material intensifies flow velocity and disturbances due to decreased internal pressure. Furthermore, a higher Prandtl number thins the thermal boundary layer, shifting disturbances away from the hot wall and accelerating flow instability. Originality/value The paper delivers a pioneering stability analysis by simultaneously capturing both rarefaction effects (Knudsen number) and porous media characteristics (Darcy number) via a modified Orr–Sommerfeld framework. These physical insights provide valuable guidelines for controlling and optimizing heat transfer and fluid flow in advanced microfluidic devices and porous heat exchangers.","PeriodicalId":14263,"journal":{"name":"International Journal of Numerical Methods for Heat & Fluid Flow","volume":"68 1","pages":"1-19"},"PeriodicalIF":4.2,"publicationDate":"2026-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149208788","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Numerical analysis of the breast thermal state under an influence of an intratissue malignant neoplasm","authors":"Dayana V. Akulova,Mikhail A. Sheremet","doi":"10.1108/hff-05-2026-0710","DOIUrl":"https://doi.org/10.1108/hff-05-2026-0710","url":null,"abstract":"Purpose The purpose of this study is to develop the mathematical model of the thermal nature of the breast having an intratissue malignant neoplasm. Design/methodology/approach The mathematical model is based on a modified Pennes bioheat equation and defines a five-layer structure with skin, adipose, glandular, muscle tissues and the tumor region. A focused hyperthermic source is represented as spatial heating described by an exponentially decaying Beer–Lambert–Bouguer law combined with a Gaussian distribution. The thermal conductivity of tissues and blood perfusion depend on temperature according to linear laws, reflecting the mechanisms of physiological thermoregulation. Various combinations of tumor position and size under the influence of an external source have been analyzed in terms of temperature field formation and accumulation of the Arrhenius integral, which characterizes damage within the tumor. Findings It has been shown that an increase in source intensity in all cases results in a rise in the high temperature and accelerates the accumulation of the Arrhenius integral, however, it simultaneously increases the risk of damage to surrounding healthy tissues. Variation of the spatial attenuation coefficient responsible for longitudinal localization of the source enhances heating and generally improves the alignment of the temperature maximum with the tumor region. An increase in the parameter of the Gaussian distribution, that defines the spatial extent of the influence, improves tumor coverage but significantly reduces selectivity due to the expansion of the damage zone into healthy tissues. It is established that the most effective damage can be achieved for a superficially located tumor. For each tumor position, regimes were identified that ensure the formation of a necrotic zone within the tumor without damaging healthy tissues. Originality/value Present study for the first time describes the mathematical model of the breast having an intratissue malignant neoplasm. Compared with one-dimensional approaches, the proposed two-dimensional model enables a more detailed analysis by accounting for transverse heat transfer, tumour size and the spatial heterogeneity of thermal damage, which cannot be adequately represented in one-dimensional formulations.","PeriodicalId":14263,"journal":{"name":"International Journal of Numerical Methods for Heat & Fluid Flow","volume":"28 1","pages":"1-34"},"PeriodicalIF":4.2,"publicationDate":"2026-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149208786","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Thermogravitational convection in hybrid ferrofluids under magnetic field-dependent viscosity in a split-baffle enclosure","authors":"Anirban Chattopadhyay,Sarna Soren,Samrat Hansda,Sayantan Roy","doi":"10.1108/hff-03-2026-0428","DOIUrl":"https://doi.org/10.1108/hff-03-2026-0428","url":null,"abstract":"Purpose This study aims to investigate the influence of magnetic-field-responsive nanofluids on convective heat transfer within a wavy energy storage enclosure, considering the combined effects of thermal radiation, surface waviness, cold baffles and magnetic-field-dependent viscosity to enhance thermal performance under realistic conditions. Design/methodology/approach The left wall of the cavity is maintained at a high temperature, while the right wall is kept at a low temperature. The remaining boundaries are assumed to be adiabatic. The cold split baffles are vertically located at the center of the enclosure. The governing momentum and energy transport equations are solved using the finite difference method. The effects of key dimensionless parameters, namely the Rayleigh number, Darcy number, radiation parameter, heat source/sink parameter, Hartmann number, magnetic number, magnetic field inclination angle and nanoparticle volume fraction are systematically investigated. Findings The results demonstrate that increasing enclosure waviness and optimal positioning of cold baffles significantly enhance fluid circulation and disrupt thermal boundary layers, leading to improved heat transfer rates. An increase in the magnetic number (δ) from 0.0–1.0 leads to a reduction in the average Nusselt number for both mono- and hybrid nanofluids. Originality/value This work presents a novel integrated analysis of radiative heat transfer, magneto-viscous effects and geometric flow modulation within a wavy enclosure. The combined consideration of these factors offers new insights into the design of magnetically controlled thermal management systems, with practical relevance to advanced energy storage devices, battery cooling and high-temperature renewable energy applications.","PeriodicalId":14263,"journal":{"name":"International Journal of Numerical Methods for Heat & Fluid Flow","volume":"16 1","pages":"1-29"},"PeriodicalIF":4.2,"publicationDate":"2026-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149208787","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A bond-wise thermal-resistance nonlocal method for transient heat diffusion in cracked media","authors":"Tianyi Li,Xin Gu,Shaoyang Han,Qing Zhang","doi":"10.1108/hff-07-2026-0935","DOIUrl":"https://doi.org/10.1108/hff-07-2026-0935","url":null,"abstract":"Purpose This paper aims to develop a physically interpretable nonlocal method for transient heat diffusion in cracked media with imperfect thermal interfaces. Design/methodology/approach A peridynamic-differential-operator-based heat-diffusion formulation is constructed by replacing the local Laplacian with a second-order nonlocal differential operator. Zero-thickness cracks are represented through a projected-normal series-resistance relation that maps interfacial thermal resistance to the transmission factor of crack-intersected bonds using the material thermal conductivity and the local crack-normal projection of the bond length. The method is assessed using analytical benchmarks, comparisons with finite element method solutions and a localized heat-source problem. Findings The finite-resistance benchmark confirms that the formulation reproduces the analytical temperature jump and heat-flux continuity. For the finite-resistance double-crack validation case, the monitoring-point history agrees closely with the independent reference solution obtained using the finite element method, yielding a root-mean-square error of 0.084 °C. In the localized heat-source problem, finite-resistance and insulating cracks reduce the downstream temperature by 19.6% and 48.1%, respectively. They also decrease the finite-time cumulative heat-removal efficiency from 0.037 for the intact plate to 0.029 and 0.018, respectively, while the final energy-balance errors remain below 1.0%. Originality/value The methodological contribution is the projected-normal series-resistance mapping from interfacial thermal resistance to crack-bond transmission for prescribed zero-thickness cracks. The formulation is further used to quantify transient downstream thermal shielding, source-side heat retention and finite-time heat-removal degradation under imperfect crack-interface conditions.","PeriodicalId":14263,"journal":{"name":"International Journal of Numerical Methods for Heat & Fluid Flow","volume":"11 1","pages":"1-23"},"PeriodicalIF":4.2,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149208804","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A CFD based investigation of two-phase flow behavior of alternative low-GWP refrigerants in an expansion capillary tube","authors":"Suleman B.,Sarath Sai,SS Harish Kruthiventi","doi":"10.1108/hff-02-2026-0170","DOIUrl":"https://doi.org/10.1108/hff-02-2026-0170","url":null,"abstract":"Purpose The purpose of this paper is to investigate two-phase flow behavior of low-GWP alternatives (R600a, R1234yf, R290, R1234ze) in a capillary tube. Design/methodology/approach This study uses a computational fluid dynamics (CFD) framework using the Volume of Fluid (VOF) multiphase model in ANSYS Fluent to simulate two-phase flow in an expansion capillary tube. The phase change during flashing is modeled with the Lee mass transfer model, while turbulence is resolved using the k-ω SST model. The present CFD model is used to visualize flow patterns and analyze the flow characteristics of low-GWP refrigerants in a capillary tube. Findings The validated CFD model shows that two-phase flow evolves from bubbly to annular before becoming vapor-dominated at the exit. Among the alternative refrigerants, R290 exhibits the lowest exit temperature due to early flashing, while R1234yf behaves similarly to R134a with 5% lower mass flow rate and comparable pressure drop. R290 also provides the highest cooling capacity. Sensitivity analysis reveals that capillary tube diameter is the dominant parameter, causing 95–98% mass flow variation, whereas coil diameter has a marginal effect (approximately 2%). Originality/value This study addresses the critical industry transition to low-GWP refrigerants by investigating the two-phase flow behavior of alternative refrigerants (R290, R600a, R1234yf and R1234ze) in capillary tubes. A CFD-based VOF) framework is used to provide high-fidelity visualization of complex two-phase flow patterns and liquid–vapor interfacial dynamics in a helical capillary tube, which has not been explored in previous studies. The study further presents a direct and systematic comparison of flow behavior between next-generation low-GWP refrigerants and the conventional baseline refrigerant R134a. In addition, a comprehensive sensitivity analysis quantifies the influence of key geometric and operating parameters on flow characteristics specific to eco-friendly refrigerants. Overall, the outcomes deliver design-level insights for the selection and optimization of capillary tubes operating with next-generation environmentally sustainable refrigerants.","PeriodicalId":14263,"journal":{"name":"International Journal of Numerical Methods for Heat & Fluid Flow","volume":"11 1","pages":"1-28"},"PeriodicalIF":4.2,"publicationDate":"2026-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149208806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Artificial intelligence-assisted surrogate networks for thermal energy transport in radiative nanofluid model containing oxytactic microorganisms with mass flux-free conditions","authors":"Nabeela Anwar,Shiza Javaid,Muhammad Shoaib,Adiqa Kausar Kiani,Muhammad Asif Zahoor Raja","doi":"10.1108/hff-06-2026-0786","DOIUrl":"https://doi.org/10.1108/hff-06-2026-0786","url":null,"abstract":"Purpose This paper aims to explore the thermal energy transfer in radiative nanofluid flow of oxytactic microorganisms under zero mass flux conditions with potential application in engineering systems. The investigation concerns free convection over an isothermal perpendicular cone in a permeable medium filled with a nanofluid. Design/methodology/approach A deep learning-based nonlinear autoregressive exogenous neural network optimized with Levenberg–Marquardt backpropagation (NARX-DNN-LMBP) is designed for the model of the radiative nanofluidic flow with microorganism (RNF-MO). It includes the effects of Brownian motion, solar radiation, thermophoresis, convective heating, suspended nanoparticles and oxytactic microorganisms along with zero mass flux boundary conditions. The synthetic data set is created using the Lobatto IIIA numerical solver and then randomly split into training, validation and test sets used to develop the neural network. Findings The proposed NARX-DNN-LMBP approach is found to be effective in predicting the RNF-MO model for various physical scenarios with mean squared error as low as 10−10. It is further evaluated with the mean squared error convergence trends, error histograms and error autocorrelation analysis to show accurate and reliable computational performance. Originality/value The novelty is achieved by coupling the NARX-DNN-LMBP deep learning framework with the Lobatto IIIA solver for fluid flow of complex radiative nanofluid with oxytactic microorganisms under zero mass flux condition. By simultaneously considering Brownian motion, convective heating, solar radiation and thermophoresis, a comprehensive computational framework for advanced thermal transport analysis can be provided.","PeriodicalId":14263,"journal":{"name":"International Journal of Numerical Methods for Heat & Fluid Flow","volume":"97 1","pages":"1-37"},"PeriodicalIF":4.2,"publicationDate":"2026-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149208805","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Numerical analysis of melting heat transfer in stratified Casson nanofluid flow over an inclined wedge for energy-efficient thermal systems","authors":"Nawal Helal Al-Harbi,Abbas Khan,Ayesha Riasat,Khurram Javid,Hashim,Wasim Jamshed,Syed M. Hussain,Samah Abdelati Haroun,Hosam Faqeha,Kamel Guedri,Hijaz Ahmad","doi":"10.1108/hff-07-2026-0954","DOIUrl":"https://doi.org/10.1108/hff-07-2026-0954","url":null,"abstract":"Purpose Given the diverse applications of nanoparticles, blood transport and stratified flow in medical and industrial domains, this study was conducted. Design/methodology/approach Nonlinear thermal stratification is used to capture realistic, high-gradient thermal environments where linear models fail under extreme industrial conditions. Energy transport is further enhanced by accounting for nanoparticle shape effects via the Hamilton–Crosser model, considering spherical, blade, brick and cylindrical geometries of copper nanoparticles suspended in water. The governing nonlinear partial differential equations are transformed into ordinary differential equations via similarity transformations and solved numerically using NDSolve. Findings Results reveal significant variations in velocity and temperature fields under controlling parameters, with strong agreement with existing literature. The velocity magnitude rises as the mixed convection parameter increases, while the opposite pattern is seen when the concentration of nanoparticles increases. Viscous dissipation and thermal radiation both contributed significantly to thermal enhancement. A greater Eckert number and thermal stratification characteristics lead to greater Nusselt numbers. Originality/value The novelty of this study is the numerical examination of nonlinear mixed-convective stratified nanofluid flow over an inclined permeable wedge, incorporating melting heat transfer, internal heat generation/absorption, thermal radiation, viscous dissipation and velocity slip effects. The current study has a wide range of applications in advanced therapeutics, the production of nano-chip devices (by using density and thermal stratification, the sort of white blood cell and cancer tumor in nano-paths with less effort) and biomedical domains (the complex geometry helping nanoparticles to cross complex nano-arteries and a magnetic field will play a remarkable role in carrying hybrid nanofluid flow and directly hitting the target to the damaged tissues or cell). The model provides a physically consistent framework for advanced thermal systems and offers useful insights for optimizing heat transfer performance in industrial and biomedical engineering applications.","PeriodicalId":14263,"journal":{"name":"International Journal of Numerical Methods for Heat & Fluid Flow","volume":"3 1","pages":"1-28"},"PeriodicalIF":4.2,"publicationDate":"2026-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149150290","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Electro-osmotic flow of couple stress nanofluid in a stenotic artery with the effects of nanoparticle aggregation and thermal radiation","authors":"Ramakrishna Manchi,Dipanjali Basumatary","doi":"10.1108/hff-03-2026-0362","DOIUrl":"https://doi.org/10.1108/hff-03-2026-0362","url":null,"abstract":"Purpose This paper aims to investigate the electro-osmotic transport of a couple stress nanofluid through a porous multistenosed artery, considering nanoparticle aggregation and thermal radiation. Their effects on flow dynamics, heat transfer, wall shear stress and the Nusselt number are examined. Design/methodology/approach Blood is modeled as a couple stress fluid, while ZnO nanoparticles are dispersed within the base fluid. The governing momentum and energy equations are formulated under mild stenosis assumptions. Analytical expressions for the velocity and temperature distributions are obtained using the Laplace and finite Hankel transform methods. A parametric sensitivity analysis is performed to evaluate the influence of key physical parameters on the heat transfer rate. Findings Nanoparticle aggregation significantly modifies the effective viscosity and thermal conductivity, enhancing the velocity and temperature compared with the nonaggregation case. Electro-osmotic effects strongly influence the near-wall electric double layer and reduce wall shear stress in the stenotic region. The nanoparticle volume fraction is identified as the dominant parameter influencing the heat transfer rate, with the sensitivity index increasing from 2.588 under nonaggregation conditions to 4.803 under aggregation, representing an 85.6% increase and substantially exceeding the corresponding sensitivity indices of the heat source, Joule heating and thermal radiation. Originality/value This study presents an exact analytical framework for electro-osmotic couple stress nanofluid flow through a porous multiple-stenosed artery with nanoparticle aggregation and thermal radiation, providing insight into nano-blood transport and supporting the development of targeted drug delivery and thermal therapies.","PeriodicalId":14263,"journal":{"name":"International Journal of Numerical Methods for Heat & Fluid Flow","volume":"184 1","pages":"1-30"},"PeriodicalIF":4.2,"publicationDate":"2026-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149150257","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}