Stability Analysis of Unsteady Hybrid Nanofluid Flow Past a Permeable Stretching/Shrinking Cylinder

Authors

  • Nurul Amira Zainal Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia
  • Roslinda Nazar Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia
  • Kohilavani Naganthran Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia
  • Ioan Pop Department of Mathematics, Babeş-Bolyai University, R-400084 Cluj-Napoca, Romania

DOI:

https://doi.org/10.37934/arfmts.86.1.6475

Keywords:

Stability analysis, Unsteady flow, Hybrid nanofluid, Stretching/shrinking cylinder, Dual solutions

Abstract

The study of boundary layer flow has gained considerable interest owing to its extensive engineering applications. Thus, this numerical study aims to investigate the stability analysis of unsteady flow in the hybrid Al2O3-Cu/H2O nanofluid past a shrinking permeable cylinder. The impacts of suction and unsteadiness parameters are considered in this study. The partial differential equations are converted into a system of nonlinear ordinary differential equations by selecting suitable similarity transformation and solved using the bvp4c code in the MATLAB program. The findings revealed that the existence of dual solutions is visible. The skin friction coefficient and the local Nusselt numbers of Al2O3-Cu/H2O increase with the inclusion of the suction parameter. The presence of the unsteadiness parameter actively promotes heat transfer degradation on the shrinking cylinder. Stability analysis indicates that a stable and physically realizable solution appeared in the first solution, whereas the second solution is unstable.

Author Biographies

Nurul Amira Zainal, Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia

nurulamira@utem.edu.my

Roslinda Nazar, Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia

rmn@ukm.edu.my

Kohilavani Naganthran, Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia

kohi@ukm.edu.my

Ioan Pop, Department of Mathematics, Babeş-Bolyai University, R-400084 Cluj-Napoca, Romania

ipop@math.ubbcluj.ro

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Published

2021-08-13

How to Cite

Zainal, N. A. ., Nazar, R., Naganthran, K., & Ioan Pop. (2021). Stability Analysis of Unsteady Hybrid Nanofluid Flow Past a Permeable Stretching/Shrinking Cylinder. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 86(1), 64–75. https://doi.org/10.37934/arfmts.86.1.6475

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Articles