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Stability analysis for heat transfer flow in micropolar hybrid nanofluids
Nur Hazirah Adilla Norzawary1, Siti Khuzaimah Soid2, Anuar Ishak3
1Institute for Mathematical Research, Universiti Putra Malaysia 43400 Serdang Selangor Malaysia nurhazirah.adilla@gmail.com.
Nanoscale Advances
|October 12, 2023
Summary
This study investigates magnetohydrodynamic micropolar hybrid nanofluids with aluminum and copper nanoparticles. Multiple stable solutions were found for flow over a shrinking sheet, impacting heat transfer and friction.
Area of Science:
- Fluid Dynamics
- Nanotechnology
- Heat Transfer
Background:
- Hybrid nanofluids offer enhanced thermal efficiency and durability compared to conventional nanofluids.
- Magnetohydrodynamics (MHD) and micropolar fluid models are crucial for understanding complex fluid behaviors.
Purpose of the Study:
- Investigate the stagnation point flow of MHD micropolar hybrid nanofluids over a deformable sheet.
- Analyze the impact of viscous dissipation and hybrid nanoparticles (aluminum and copper) on fluid dynamics.
- Determine the existence and stability of multiple flow solutions.
Main Methods:
- Transmuted similarity transformations were applied to convert partial differential equations into ordinary differential equations.
- The bvp4c solver in MATLAB was utilized for numerical computation.
- Stability analysis was performed to identify physically acceptable solutions.
Main Results:
- Multiple solutions were observed for both shrinking and stretching sheet scenarios, particularly for shrinking sheets.
- The first solution branch was identified as physically stable.
- Higher magnetic parameters increased the friction factor for the first solution branch while decreasing the local heat transfer rate.
Conclusions:
- The study demonstrates the existence of multiple, non-unique solutions for MHD micropolar hybrid nanofluid flow over shrinking sheets.
- Stability analysis is essential for validating physical relevance.
- The findings provide insights into the complex interplay of nanoparticles, magnetic fields, and sheet deformation on thermal and hydrodynamic performance.
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