Sains Malaysiana 53(12)(2024): 3229-3240

http://doi.org/10.17576/jsm-2024-5312-08

 

Kesan Nanozarah Hibrid terhadap Aliran Bendalir Eyring-Powell pada Permukaan Mengecut

(Hybrid Nanoparticles Effects on the Flow of a Eyring-Powell Fluid Past a Shrinking Sheet)

 

ISKANDAR WAINI¹, FARAH NADZIRAH JAMRUS², ANUAR ISHAK^3,* & IOAN POP⁴

 

¹Fakulti Teknologi dan Kejuruteraan Industri dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, 76100 Durian Tunggal, Melaka, Malaysia
²Kolej Pengajian Pengkomputeran, Informatik dan Matematik, Universiti Teknologi MARA, Cawangan Melaka Kampus Jasin, 77300 Merlimau, Melaka, Malaysia
³Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia
⁴Department of Mathematics, Babes-Bolyai University, 400084 Cluj-Napoca, Romania

 

Received: 30 April 2024/Accepted: 6 September 2024

 

Abstrak

Kesan nanozarah hibrid terhadap aliran bendalir Eyring-Powell pada permukaan mengecut dengan halaju hukum kuasa dikaji. Penjelmaan keserupaan yang sesuai digunakan untuk mengubah persamaan menakluk kepada persamaan keserupaan. Penyelesai masalah nilai sempadan bvp4c dalam perisian MATLAB digunakan untuk mendapatkan penyelesaian berangka. Hasil kajian mendapati bahawa nanozarah hibrid meningkatkan kedua-dua kecerunan halaju dan suhu, yang seterusnya meningkatkan geseran pada permukaan dan kadar pemindahan haba masing-masing pada 5.01% dan 0.59% berbanding bendalir asas. Namun, kuantiti fizikal tersebut menurun dan domain penyelesaiannya terjejas dengan kehadiran parameter bendalir Eyring-Powell. Daripada analisis kestabilan, hanya satu daripada dua penyelesaian tersebut stabil dalam jangka masa panjang.

 

Kata kunci: Analisis kestabilan; Eyring-Powell; nanobendalir hibrid; penyelesaian dual; permukaan mengecut

 

Abstract

The effect of hybrid nanoparticles on Eyring-Powell fluid flow over a shrinking sheet with power-law velocity is studied. The suitable similarity transformations are used to transform the governing equations into the similarity equations. The bvp4c solver in MATLAB software is employed to generate the numerical results. The outcomes show that the hybrid nanoparticles raise both the velocity and temperature gradients, which consequently increases the friction at the surface and the rate of heat transfer by 5.01% and 0.59%, respectively, compared with the base fluid. However, these physical quantities are reduced, and the domain of the solutions is affected in the presence of the Eyring-Powell fluid parameters. From the stability analysis, only one of the solutions is stable in the long run.

 

Keywords: Dual solutions; Eyring-Powell; hybrid nanofluid; shrinking sheet; stability analysis

 

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*Corresponding author; email: anuar_mi@ukm.edu.my