Electro-Osmotic Peristaltic Streaming Flow of a Fractional Second-Grade Viscoelastic Fluid in a Tube with Permeable Walls Containing Single and Multi-Wall Carbon Nanotubes

Channakote, M; Anwar Bég, O; Narayana, Mahesha; Shekar, M; Akbar, N

Abstract

This paper develops a mathematical model to analyse the behaviour of a viscoelastic nanofluid flowing through a radially symmetric cylindrical duct with a permeable wall, incorporating electro-osmotic effects. The model employs a fractional viscoelastic Reiner-Rivlin differential equation using Caputo's definition to characterize the fluid's rheology, and includes considerations of heat generation and natural convection. Electro-osmotic dynamics are analysed using the Debye-Hückel approximation. The study investigates the impact of single-walled carbon nanotubes (SWCNTs) and multi-walled carbon nanotubes (MWCNTs) on flow characteristics, focusing on the thermal and electrical properties of blood. By applying suitable scaling transformations, the partial differential equations are reduced to an ordinary differential equation system. Analytical solutions are obtained for the non-dimensional boundary value problem, and key parameters such as axial velocity, temperature, electrical potential, volumetric flow rate, and pressure gradient are computed and visualized using Mathematica. The results are significant for modelling flow dynamics in the human oesophagus and have practical implications for nanoparticle-based applications in cancer diagnosis, angiography, and angioplasty. The study finds that carbon nanotube (CNTs) enhances thermal conductivity and fluid velocity, and that increased thermal source/sink parameters (í µí»½ 1) raise temperature, while higher (CNT) carbon nanotubes volume fractions (í µí¼™) reduce temperature, with Multi walled carbon nanotube (MWCNTs) achieving higher temperatures.

Citation

Channakote, . M., Anwar Bég, O., Narayana, M., Shekar, M., & Akbar, N. (in press). Electro-Osmotic Peristaltic Streaming Flow of a Fractional Second-Grade Viscoelastic Fluid in a Tube with Permeable Walls Containing Single and Multi-Wall Carbon Nanotubes. Journal of Nanofluids,

• Journal Article Type: Article
• Acceptance Date: Sep 17, 2024
• Deposit Date: Sep 18, 2024
• Print ISSN: 2169-432X
• Publisher: American Scientific Publishers
• Peer Reviewed: Peer Reviewed
• Keywords: Carbon nanotubes; electro-osmosis; fractional second-grade fluid model; Caputo's definition; Debye-Huckel linearization; Peristalsis; Permeable wall