Nanofluid flow between disks in the presence of thermal radiation and heat source: Stability analysis

  • Rusya Iryanti Yahaya Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor
  • Aniza Abd Ghani Department of Mathematics and Statistics, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor
  • Norihan Md Arifin Department of Mathematics and Statistics, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor
  • Fadzilah Md Ali Department of Mathematics and Statistics, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor
  • Siti Suzilliana Putri Mohamed Isa Centre of Foundation Studies for Agricultural Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor

Abstract

The internal flow between disks is used in various applications, including rotating machinery, air-cleaning machines, food processing technology, and gas turbine rotors. The present study analyses the nanofluid flow between a non-permeable, stationary disk and a permeable, rotating, shrinking disk. Radiation and heat generation effects are included in the proposed governing partial differential equations and boundary conditions. Then, non-linear ordinary differential equations and boundary conditions are derived through the similarity transformations for numerical computation in MATLAB. Dual solutions from the computation prompted a stability analysis; only the first solution is stable. Enhancing thermal radiation and heat generation parameters reduces and increases the temperature profile throughout the internal flow. Meanwhile, increasing the shrinking parameter and Reynolds number reduces the radial and tangential velocities in some regions close to the stationary, non-permeable disk.

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Published
2023-11-19
How to Cite
YAHAYA, Rusya Iryanti et al. Nanofluid flow between disks in the presence of thermal radiation and heat source: Stability analysis. Menemui Matematik (Discovering Mathematics), [S.l.], v. 45, n. 2, p. 185-199, nov. 2023. ISSN 0126-9003. Available at: <https://myjms.mohe.gov.my/index.php/dismath/article/view/24383>. Date accessed: 26 july 2024.

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