Electro-osmotically Modulated Viscoelastic SWCNT-Blood Flow in Symmetric/Nonsymmetric Stenosed Arteries with Heat Generation using a Fractional Second Grade Model

Channakote, Mahadev; Anwar Bég, O; Kuharat, S; Shekar, M; Siddabasappa, C

Abstract

This study examines the electro-osmotically modulated viscoelastic blood flow in arteries with both symmetric and non-symmetric stenosis, accounting for heat generation and thermal buoyancy effects. Blood is modelled as a fractional second-grade fluid to more accurately capture its viscoelastic and memory-dependent behaviour. The Debye-Hückel linearization is applied to analyse the electro-osmotic effects. The governing partial differential equations are reduced to a system of ordinary differential equations using appropriate scaling transformations. Analytical solutions are derived for the resulting non-dimensional boundary value problem. Key flow characteristics including axial velocity, temperature distribution, electric potential, volumetric flow rate, and wall shear stress are computed and illustrated graphically using Mathematica software .The computations reveal that axial velocity decreases near the arterial walls but increases in the core region for both symmetric (í µí± = 2) and non-symmetric (í µí± = 6) stenoses with rising Helmholtz-Smoluchowski velocity (í µí± í µí°»í µí±), CNT volume fraction (í µí¼), Debye length parameter (í µí±), and stenosis height (í µí¼). Heat generation (í µí»½ > 0) further enhances both velocity and temperature. Increasing ϕ reduces temperature and wall shear stress (í µí¼ í µí±¤), while higher flow rate (í µí±) and stenosis height (í µí¼) elevate (í µí¼ í µí±¤). Non-symmetric stenoses yield higher temperatures than symmetric ones. Trapping boluses grow in size and number with increasing í µí± for both stenosis types. These findings underscore the significant role of electro-osmotic and viscoelastic effects in hemodynamic regulation, with potential biomedical applications.

• Journal Article Type: Article
• Acceptance Date: Jul 1, 2025
• Deposit Date: Jul 9, 2025
• Print ISSN: 2047-6841
• Electronic ISSN: 2047-685X
• Publisher: World Scientific Publishing
• Peer Reviewed: Peer Reviewed
• Keywords: Hemodynamic; single wall carbon nanotubes (CNTs); electro-osmosis; fractional second grade fluid; heat transfer; stenosis; wall shear stress; Mathematica software 2