Coupled Effects of Viscoelasticity and Nanoparticle Dynamics on Mixed Convection of Brinkman Nanofluids

Authors

  • Abdul Rahman Mohd Kasim Centre for Mathematical Sciences, Universiti Malaysia Pahang Al-Sultan Abdullah (UMPSA), 26300 Gambang, Pahang, Malaysia
  • Siti Farah Haryatie Mohd Kanafiah College of Computing, Informatics and Mathematics, Universiti Teknologi MARA (UiTM) Kelantan Branch, 18500 Machang, Kelantan, Malaysia
  • Nurizzatul Atikha Rahmat Faculty of Mechanical and Automotive Engineering Technology, Universiti Malaysia Pahang Al-Sultan Abdullah, 26300 Gambang, Pahang, Malaysia
  • Adeosun Adeshina Taofeeq Centre for Mathematical Sciences, Universiti Malaysia Pahang Al-Sultan Abdullah, 26300 Gambang, Pahang, Malaysia; Federal College of Education, 232102 Iwo, Nigeria
  • Nurul Amira Zainal Faculty of Mechanical Technology and Engineering, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, 76100 Durian Tunggal, Melaka, Malaysia
  • Farahanie Fauzi Centre for Mathematical Sciences, Universiti Malaysia Pahang Al-Sultan Abdullah (UMPSA), 26300 Gambang, Pahang, Malaysia; College of Computing, Informatics and Mathematics, Universiti Teknologi MARA (UiTM) Kelantan Branch, 18500 Machang, Kelantan, Malaysia
  • Livia Owen Center for Mathematics and Society, Faculty of Science, Parahyangan Catholic University, 40141 Bandung, Indonesia

DOI:

https://doi.org/10.37134/jsml.vol14.2.1.2026

Keywords:

Convective, Brinkman, Buongiorno, Nanofluids, Viscoelasticity

Abstract

Low thermal conductivity limits the effectiveness of conventional heat transfer fluids in industrial settings. Researchers have investigated modified fluid-based strategies to get around this. The mixed convection of a viscoelastic Brinkman nanofluid passing over a horizontal circular cylinder is examined in this work. The equations were simplified by using the Buongiorno nanofluid model and the necessary non-dimensional and similarity transformations. The Keller-Box Method (KBM), which is implemented in Matlab package, was then used to solve the equations numerically. In addition to the profiles of velocity, temperature, and nanoparticle volume fraction, numerical solutions are provided and analysed for the coefficient of skin friction, local Nusselt and Sherwood numbers, and the viscoelasticity, Lewis number, Brownian number, buoyancy ratio parameter, and thermophoresis parameter for each of the governing parameters. Numerical solutions are presented and analysed for the skin friction coefficient, local Nusselt number and Sherwood number alongside the profiles of velocity, temperature, and nanoparticle volume fraction for different governing parameters, specifically the viscoelasticity, Brownian number, buoyancy ratio parameter, and thermophoresis parameter. The numerical findings unequivocally indicate that an increase in the viscoelastic parameter results in a significant decrease in the skin friction coefficient, attributed to the inhibition of momentum diffusion near the cylinder surface caused by the elastic characteristic in the fluid.

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Published

2026-04-01

How to Cite

Mohd Kasim, A. R. ., Mohd Kanafiah, S. F. H., Rahmat, N. A., Taofeeq, A. A., Zainal, N. A. ., Fauzi, F., & Owen, L. . (2026). Coupled Effects of Viscoelasticity and Nanoparticle Dynamics on Mixed Convection of Brinkman Nanofluids. Journal of Science and Mathematics Letters, 14(2), 181-191. https://doi.org/10.37134/jsml.vol14.2.1.2026