Sains Malaysiana 50(12)(2021): 3753-3764

http://doi.org/10.17576/jsm-2021-5012-24

 

Unsteady Transport Phenomena of Hybrid Al2O3-Cu/H2O Nanofluid Past a Shrinking Slender Cylinder

(Fenomenon Angkutan Tak Mantap Nanobendalir Hibrid Al2O3-Cu/H2O terhadap Silinder Langsing Mengecut)

 

NURUL AMIRA ZAINAL1,2, ROSLINDA NAZAR1*, KOHILAVANI NAGANTHRAN3,4 & IOAN POP5

 

1Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor Darul Ehsan, Malaysia

 

2Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka,76100 Melaka, Malaysia

 

3Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, 50603 Kuala Lumpur, Federal Territory, Malaysia

 

4Center for Data Analytics, Consultancy and Services, Faculty of Science, Universiti Malaya, 50603 Kuala Lumpur, Federal Territory, Malaysia

 

5Department of Mathematics, Babeş-Bolyai University, R-400084 Cluj-Napoca, Romania

 

Diserahkan: 29 Disember 2020/Diterima: 30 Mac 2021

 

ABSTRACT

Theoretical investigations of unsteady boundary layer flow gain interest due to its relatability to practical settings. Thus, this study proposes a unique mathematical model of the unsteady flow and heat transfer in hybrid nanofluid past a permeable shrinking slender cylinder. The suitable form of similarity transformations is adapted to simplify the complex partial differential equations into a solvable form of ordinary differential equations. A built-in bvp4c function in MATLAB software is exercised to elucidate the numerical analysis for certain concerning parameters, including the unsteadiness and curvature parameters. The bvp4c procedure is excellent in providing more than one solution once sufficient predictions are visible. The present analysis further observed dual solutions that exist in the system of equations. Notable findings showed that by increasing the nanoparticles volume fraction, the skin friction coefficient increases in accordance with the heat transfer rate. In contrast, the decline of the unsteadiness parameter demonstrates a downward trend toward the heat transfer performance.

 

Keywords: Dual solutions; hybrid nanofluid; shrinking cylinder; unsteady flow

 

ABSTRAK

Kajian teori aliran lapisan sempadan tak mantap telah menarik minat ramai kerana kaitannya dengan tetapan praktikal. Oleh itu, kajian ini mencadangkan suatu model matematik yang unik untuk mengkaji aliran tak mantap dan pemindahan haba dalam nanobendalir hibrid melewati silinder langsing telap mengecut. Bentuk penjelmaan keserupaan yang sesuai digunakan untuk menurunkan persamaan pembezaan separa yang kompleks kepada bentuk persamaan pembezaan biasa yang boleh diselesaikan. Fungsi bvp4c terbina dalam perisian MATLAB digunakan untuk menjelaskan analisis berangka bagi parameter yang bersangkutan termasuk parameter ketakmantapan dan kelengkungan. Prosedur bvp4c adalah sangat sesuai dan cekap dalam memperoleh lebih daripada satu penyelesaian dengan ramalan yang mencukupi. Analisis kajian ini mendapati yang penyelesaian dual wujud dalam sistem persamaan. Hasil keputusan kajian menunjukkan bahawa dengan meningkatkan pecahan isi padu nanozarah, pekali geseran kulit meningkat sesuai dengan kadar pemindahan haba. Sebaliknya, penurunan parameter ketakmantapan menunjukkan trend penurunan prestasi pemindahan haba.

 

Kata kunci: Aliran tak mantap; nanobendalir hibrid; penyelesaian dual; silinder mengecut

 

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*Pengarang untuk surat-menyurat; email: rmn@ukm.edu.my

 

 

 

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