Sains Malaysiana 50(10)(2021): 3139-3152

http://doi.org/10.17576/jsm-2021-5010-25

Oblique Stagnation-Point Flow Past a Shrinking Surface in a Cu-Al₂O₃/H₂O Hybrid Nanofluid

(Aliran Titik Genangan Serong Nanobendalir Hibrid Cu-Al₂O₃/H₂O terhadap Permukaan Mengecut)

RUSYA IRYANTI YAHAYA¹, NORIHAN MD ARIFIN^1,2*, ROSLINDA MOHD. NAZAR³ & IOAN POP⁴

¹Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia

²Department of Mathematics, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia

³School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor Darul Ehsan, Malaysia

⁴Department of Mathematics, Babe¸s-Bolyai University, 400084 Cluj-Napoca, Romania

Received: 12 October 2020/Accepted: 2 February 2021

ABSTRACT

To fill the existing literature gap, the numerical solutions for the oblique stagnation-point flow of Cu-Al₂O₃/H₂O hybrid nanofluid past a shrinking surface are computed and analyzed. The computation, using similarity transformation and bvp4c solver, results in dual solutions. Stability analysis then shows that the first solution is stable with positive smallest eigenvalues. Besides that, the addition of Al₂O₃ nanoparticles into the Cu-H₂O nanofluid is found to reduce the skin friction coefficient by 37.753% while enhances the local Nusselt number by 4.798%. The increase in the shrinking parameter reduces the velocity profile but increases the temperature profile of the hybrid nanofluid. Meanwhile, the increase in the free parameter related to the shear flow reduces the oblique flow skin friction.

Keywords: Dual solutions; hybrid nanofluid; oblique stagnation-point; shrinking surface; stability analysis

ABSTRAK

Bagi memenuhi jurang kepustakaan sedia ada, penyelesaian numerik bagi aliran titik genangan serong nanobendalir hibrid Cu-Al₂O₃/H₂O terhadap permukaan mengecut telah dihitung dan dianalisis. Pengiraan menggunakan penjelmaan keserupaan dan fungsi bvp4c telah menghasilkan penyelesaian dual. Hasil analisis kestabilan menunjukkan bahawa penyelesaian pertama adalah stabil dengan nilai eigen terkecil positif. Secara puratanya, penambahan nanozarah Al₂O₃ ke dalam nanobendalir Cu-H₂O telah mengurangkan pekali geseran kulit sebanyak 37.753% dan meningkatkan nombor Nusselt tempatan sebanyak 4.798%. Peningkatan parameter mengecut pula dilihat mengurangkan profil halaju nanobendalir hibrid tetapi menyebabkan profil suhunya meningkat. Sementara itu, peningkatan nilai parameter bebas berkaitan aliran sesar telah mengurangkan geseran kulit aliran serong.

Kata kunci: Aliran titik genangan serong; analisis kestabilan; nanobendalir hibrid; penyelesaian dual; permukaan mengecut

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*Corresponding author; email: norihanarifin@yahoo.com