Sains Malaysiana 47(9)(2018): 2213–2221

http://dx.doi.org/10.17576/jsm-2018-4709-32

 

Ingham Problem for Mixed Convection Flow of a Nanofluid over a Moving Vertical Plate with Suction and Injection Effects

(Masalah Ingham untuk Aliran Olakan Campuran bagi Nanobendalir terhadap Plat Telap Menegak yang Bergerak dengan Kesan Sedutan dan Semburan)

 

ANUAR JAMALUDIN¹, ROSLINDA NAZAR²* & IOAN POP³

 

¹Department of Mathematics, Universiti Pertahanan Nasional Malaysia, 57000 Kuala Lumpur, Federal Territory, Malaysia

 

²School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor Darul Ehsan, Malaysia

 

³Department of Mathematics, Babeş-Bolyai University, R-400084 Cluj-Napoca, Romania

 

Received: 31 March 2018/Accepted: 22 May 2018

 

 

ABSTRACT

In this study, the effects of suction and injection on the mixed convection flow of a nanofluid, over a moving permeable vertical plate were discussed. A similarity variable was used to transform the governing equations to the ordinary differential equations, which were then solved numerically using the bvp4c programme from MATLAB. Dual solutions (upper and lower branches) were found within a certain range of the mixed convection parameter in assisting and opposing flow regions. A stability analysis was implemented to confirm that the upper branch solution was stable, while the lower branch solution was unstable.

 

Keywords: Injection; mixed convection; moving plate; nanofluid; stability analysis; suction

 

ABSTRAK

Dalam kajian ini, kesan sedutan dan semburan pada aliran olakan campuran bagi nanobendalir terhadap plat telap menegak yang bergerak dibincangkan. Pemboleh ubah keserupaan digunakan untuk menjelmakan persamaan menakluk kepada persamaan terbitan biasa dan seterusnya diselesaikan secara berangka menggunakan program bvp4c daripada MATLAB. Penyelesaian dual (cabang atas dan cabang bawah) didapati wujud dalam julat tertentu bagi parameter olakan campuran di dalam kawasan aliran membantu dan aliran menentang. Analisis kestabilan dilakukan bagi mengesahkan bahawa penyelesaian cabang atas adalah stabil, manakala penyelesaian cabang bawah adalah tidak stabil.

 

Kata kunci: Analisis kestabilan; nanobendalir; olakan campuran; plat bergerak; sedutan; semburan

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*Corresponding author; email: rmn@ukm.edu.my