Sains Malaysiana 47(5)(2018): 1069–1076
http://dx.doi.org/10.17576/jsm-2018-4705-25
Effects of Thermal
Radiation on Mixed Convection Flow over a Permeable Vertical Shrinking Flat
Plate in an Oldroyd-B Fluid
(Kesan Sinaran Terma pada Aliran Olakan Campuran terhadap Plat Rata Telap Menegak Mengecut dalam Bendalir Oldroyd-B)
KOHILAVANI NAGANTHRAN1*, ROSLINDA NAZAR1 & IOAN POP2
1School of Mathematical Sciences, Faculty
of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor Darul Ehsan, Malaysia
2Department
of Mathematics, Babeş-Bolyai University, R-400084
Cluj-Napoca, Romania
Diserahkan: 14
September 2017/Diterima: 12 Disember 2017
ABSTRACT
This study offers the
numerical solutions for the problem of mixed convection stagnation-point flow
along a permeable vertical flat plate in an Oldroyd-B
fluid. The present investigation considers the effects of thermal radiation and
heat generation/absorption in the fluid flow. The similarity transformation
simplifies the complex model and the bvp4c function generates the numerical
solutions according to the variations in the governing parameters. A higher
degree of shrinking hastens flow separations. The dual solutions are visible in
the range of buoyancy opposing flow. The results from this study may be useful
for the scientist to understand the behaviour of the
dilute polymer solutions in the industrial applications, for example, the drag
reduction in pipe flows.
Keywords: Mixed
convection; Oldroyd-B fluid; stability analysis;
shrinking plate; stagnation-point flow
ABSTRAK
Kajian ini memberikan penyelesaian berangka bagi masalah aliran titik genangan olakan campuran sepanjang plat rata telap menegak dalam bendalir Oldroyd-B. Kajian ini mempertimbangkan kesan sinaran terma dan penjanaan/penyerapan haba dalam aliran bendalir. Penjelmaan keserupaan mempermudahkan model kompleks dan fungsi bvp4c menghasilkan penyelesaian berangka mengikut variasi parameter menakluk. Darjah pengecutan yang lebih tinggi mempercepatkan pemisahan aliran. Penyelesaian dual boleh dilihat dalam julat aliran menentang apungan. Keputusan daripada kajian ini boleh digunakan oleh saintis untuk memahami tingkah laku larutan polimer cair dalam aplikasi perindustrian, contohnya pengurangan seretan dalam aliran paip.
Kata kunci: Aliran titik genangan; analisis kestabilan; bendalir Oldroyd-B; olakan campuran; plat mengecut
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*Pengarang untuk surat-menyurat;
email: kohi_kk@yahoo.com