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 NAGANTHRAN^1*, 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

 

Received: 14 September 2017/Accepted: 12 December 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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*Corresponding author; email: kohi_kk@yahoo.com