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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/Mengecutdalam 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
Diserahkan: 17 Jun 2019/Diterima: 18 Oktober 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 dikenakanpada 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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*Pengarang untuk surat-menyurat; email: norihana@upm.edu.my
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