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SSains Malaysiana 46(2)(2017): 327–333 http://dx.doi.org/10.17576/jsm-2017-4602-18 Unsteady Magnetoconvective Flow of Bionanofluid
with Zero Mass Flux Boundary Condition (Aliran tak Mantap Magneto-Perolakan bagi
Bionanobendalir dengan Keadaan Sempadan Fluks Jisim Sifar) MD.
FAISAL
MD.
BASIR1*,
M.J.
UDDIN1,2
& A.I. MD.
ISMAIL1 1School of Mathematical
Sciences, Universiti Sains Malaysia, 11800 Penang, Pulau Pinang Malaysia 2American International
University- Bangladesh, Banani Dhaka, 1213, Bangladesh Diserahkan: 24
Mac 2015/Diterima: 9 Mei 2016 ABSTRACT Induced magnetic field stagnation
point flow for unsteady two-dimensional laminar forced convection
of water based nanofluid containing microorganisms along a vertical
plate has been investigated. We have incorporated zero mass flux
boundary condition to get physically realistic results. The boundary
layer equations with three independent variables are transformed
into a system of ordinary differential equations by using appropriate
similarity transformations. The derived equations are then solved
numerically by using Maple which use the fourth-fifth order Runge-Kutta-Fehlberg
algorithm to solve the system of similarity differential equations.
The effects of the governing parameters on the dimensionless velocity,
induced magnetic field, temperature, nanoparticle volume fraction,
density of motile microorganisms, skin friction coefficient, local
Nusselt number and motile density of microorganisms transfer rate
are illustrated graphically and tabular form. It is found that
the controlling parameters strongly affect the fluid flow and
heat transfer characteristics. We compare our numerical results
with published results for some limiting cases and found excellent
agreement. Keywords: Forced convection;
induced magnetic field; microorganisms; nanofluid; unsteady; zero
mass flux ABSTRAK Medan magnet teraruh pada titik
genangan untuk aliran tak mantap lamina dua dimensi perolakan
dipaksa daripada nanobendalir berasaskan air yang mengandungi
mikroorganisma bersama plat menegak telah dikaji. Kami telah memasukkan
keadaan sempadan fluks jisim sifar untuk mendapatkan keputusan
yang realistik. Persamaan lapisan sempadan dengan tiga pembolehubah
diubah menjadi sistem persamaan pembezaan biasa dengan menggunakan
persamaan transformasi serupa yang sesuai. Persamaan yang telah
diperoleh diselesaikan secara berangka dengan menggunakan algorithma
Runge-Kutta-Fehlberg keempat-lima dalam Maple untuk menyelesaikan
sistem persamaan pembezaan. Kesan parameter pada halaju tak berdimensi,
medan magnet teraruh, suhu, pecahan isi padu zarah-zarah nano,
ketumpatan mikroorganisma motil, pekali geseran kulit, nombor
Nusselt dan ketumpatan motil kadar pemindahan mikroorganisma adalah
dipamerkan secara grafik dan dalam bentuk jadual. Didapati bahawa
parameter kawalan mempengaruhi aliran bendalir dan ciri-ciri pemindahan
haba. Kami membandingkan keputusan berangka ini dengan keputusan
yang telah diterbitkan bagi kes terhad dan ia menepati keputusan
sedia ada di dalam kajian lepas. Kata kunci: Keadaan sempadan fluks jisim sifar; medan teraruh magnet;
mikroorganisma; bendalir nano; perolakan dipaksa; tak mantap RUJUKAN Ali,
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*Pengarang untuk surat-menyurat; emails:
faisalbasir91@gmail.com
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