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Sains Malaysiana 49(1)(2020): 211-222 http://dx.doi.org/10.17576/jsm-2020-4901-25
Thermal
Marangoni Flow Past a Permeable Stretching/Shrinking Sheet in a Hybrid Cu-Al2O3/Water
Nanofluid
(Aliran Haba Marangoni terhadap Permukaan Telap Meregang/Mengecut dalam Nanobendalir Hibrid Cu-Al2O3/Air)
NAJIYAH SAFWA KHASHI'IE1,2,
NORIHAN MD ARIFIN*1,3, IOAN POP4, ROSLINDA
NAZAR5, EZAD HAFIDZ HAFIDZUDDIN6 & NADIHAH
WAHI3
1Institute
for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang,
Selangor Darul Ehsan, Malaysia
2Fakulti Teknologi Kejuruteraan Mekanikal
dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, 76100
Durian Tunggal, Melaka, Malaysia
3Department
of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM
Serdang, Selangor Darul Ehsan, Malaysia
4Department of Mathematics,
Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
5Pusat Pengajian Sains Matematik, Fakulti
Sains dan Teknologi, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor
Darul Ehsan, Malaysia
6Centre
of Foundation Studies for Agricultural Science, Universiti Putra Malaysia,
43400 UPM Serdang, Selangor Darul Ehsan, Malaysia
Received:
17 June 2019/Accepted: 18 October 2019
ABSTRACT
The present study
accentuates the Marangoni convection flow and heat transfer characteristics of
a hybrid Cu-Al2O3/water nanofluid past a
stretching/shrinking sheet. The presence of surface tension due to an imposed
temperature gradient at the wall surface induces the thermal Marangoni
convection. A suitable transformation is employed to convert the boundary layer
flow and energy equations into a nonlinear set of ordinary (similarity)
differential equations. The bvp4c solver in MATLAB software is utilized to
solve the transformed system. The change in velocity and temperature, as well
as the Nusselt number with the accretion of the dimensionless Marangoni,
nanoparticles volume fraction and suction parameters, are discussed and
manifested in the graph forms. The presence of two solutions for both stretching
and shrinking flow cases are noticeable with the imposition of wall mass
suction parameter. The adoption of stability analysis proves that the first
solution is the real solution. Meanwhile, the heat transfer rate significantly
augments with an upsurge of the Cu volume fraction (shrinking flow case) and
Marangoni parameter (stretching flow case). Both Marangoni and Cu volume
fraction parameters also can decelerate the boundary layer separation process.
Keywords: Dual
solutions; hybrid nanofluid; Marangoni convection; stability analysis; suction
ABSTRAK
Kajian
ini menonjolkan aliran perolakan Marangoni dan ciri-ciri pemindahan
haba untuk nanobendalir hibrid Cu-Al2O3/air
terhadap permukaan meregang/mengecut. Kehadiran ketegangan permukaan
disebabkan oleh perbezaan suhu yang dikenakan pada permukaan
dinding telah menghasilkan perolakan haba Marangoni. Satu transformasi
bersesuaian digunakan untuk menukar persamaan aliran lapisan sempadan dan tenaga ke dalam
persamaan pembezaan biasa bukan linear. Fungsi bvp4c dalam perisian
Matlab telah digunakan untuk menyelesaikan sistem yang diubah. Perubahan
dalam halaju dan suhu, serta nombor Nusselt dengan penambahan pemboleh ubah tanpa dimensi iaitu Marangoni, pecahan isi padu nanozarah
dan sedutan, turut dibincangkan dan diwujudkan dalam bentuk graf.
Kehadiran dua penyelesaian untuk kedua-dua kes aliran meregang dan
mengecut dikenal pasti dengan penggunaan pemboleh ubah sedutan. Penggunaan analisis kestabilan
telah mengesahkan yang penyelesaian pertama adalah penyelesaian
sebenar. Pada masa yang sama, kadar pemindahan haba meningkat dengan
banyak dengan penambahan pecahan isi padu Cu
(kes aliran mengecut) dan pemboleh ubah Marangoni (kes aliran meregang). Kedua-dua pemboleh ubah Marangoni
dan pecahan isi padu Cu
juga dapat memperlahankan proses pemisahan aliran sempadan.
Kata kunci: Analisis kestabilan; nanobendalir hibrid;
penyelesaian dwi; perolakan Marangoni; sedutan
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*Corresponding
author; email: norihana@upm.edu.my
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