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  4. Numerical solutions and stability analysis of unsteady hybrid nanofluid flow over a shrinking sheet with heat generation

Numerical solutions and stability analysis of unsteady hybrid nanofluid flow over a shrinking sheet with heat generation

MMC.
2023;
Volume 10, Number 4
: pp. 1222–1229
https://doi.org/10.23939/mmc2023.04.1222
Received: September 26, 2023
Accepted: November 07, 2023

Mathematical Modeling and Computing, Vol. 10, No. 4, pp. 1222–1229 (2023)

Authors:
  1. N. A. Rahman
  2. N. S. Khashi'ie
  3. K. B. Hamzah
  4. I. Waini
  5. M. A. M. Rosli
  6. I. Pop
1
Fakulti Kejuruteraan Mekanikal, Universiti Teknikal Malaysia Melaka
2
Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka; Forecasting and Engineering Technology Analysis (FETA) Research Group, Universiti Teknikal Malaysia Melaka
3
Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka; Forecasting and Engineering Technology Analysis (FETA) Research Group, Universiti Teknikal Malaysia Melaka
4
Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka; Forecasting and Engineering Technology Analysis (FETA) Research Group, Universiti Teknikal Malaysia Melaka
5
Fakulti Kejuruteraan Mekanikal, Universiti Teknikal Malaysia Melaka
6
Department of Mathematics, Babes-Bolyai University

The study focuses on the generation of multiple numerical solutions and stability analysis for the case of an unsteady copper-alumina/water hybrid nanofluid subjected to a shrinking sheet.  Heat generation as the potential contributing factor in the heat transfer progress is considered as well as the suction effect.  The governing model (partial differential equations) is developed based on the boundary layer assumptions, which then are transformed into a set of ordinary (similarity) differential equations.  The bvp4c solver is used to search all possible solutions and conduct the stability analysis for the generating solutions.  Suction induces the movement of heated fluid particles towards the wall, resulting in increased velocity and heat transfer and a decrease in temperature.  The first solution is proved to be the stable real solution as compared to the other solution.

hybrid nanofluid
heat generation
heat transfer
multiple solutions
unsteady flow
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