Sains Malaysiana 48(5)(2019): 1137–1149

http://dx.doi.org/10.17576/jsm-2019-4805-23

 

Three-Dimensional Bioconvection Nanofluid Flow from a Bi-Axial Stretching Sheet with Anisotropic Slip

(Aliran Nanobendalir Bioperolakan Tiga Matra daripada Lembaran Regangan Dua Paksi dengan Gelincir Anisotropi)

 

NUR ARDIANA AMIRSOM¹, M.J. UDDIN², MD. FAISAL MD BASIR¹*, A.I.M ISMAIL¹, O. ANWAR BÉG³ & ALI KADIR³

 

¹School of Mathematics Sciences, Universiti Sains Malaysia, 11800 Pulau Pinang, Malaysia

 

²Department of Mathematics, American International University- Bangladesh, Kuratoli, Dhaka, 1229, Bangladesh

 

³Aeronautical and Mechanical Engineering Department, School of Computing, Science and Engineering, Newton Building, University of Salford, M54WT, United Kingdom

 

Received: 24 December 2018/Accepted: 16 March 2019

 

ABSTRACT

A theoretical study is presented for three-dimensional flow of bioconvection nanofluids containing gyrotactic micro-organisms over a bi-axial stretching sheet. The effects of anisotropic slip, thermal jump and mass slip are considered in the mathematical model. Suitable similarity transformations are used to reduce the partial differential equation system into a nonlinear ordinary differential system. The transformed nonlinear ordinary differential equations with appropriate transformed boundary conditions are solved numerically with the bvp4c procedure in the symbolic software, MATLAB. The mathematical computations showed that an increase in Brownian motion parameter corresponds to a stronger thermophoretic force which encourages transport of nanoparticles from the hot bi-axial sheet to the quiescent fluid. This increases the nanoparticle volume fraction boundary layer. Fluid temperature and thermal boundary layer thickness are decreased with increasing stretching rate ratio of the bi-axial sheet. The present simulation is of relevance in the fabrication of bio-nanomaterials and thermally-enhanced media for bio-inspired fuel cells.

 

Keywords: Anisotropic slip; bioconvection; mass slip; microorganisms; nanofluids, thermal slip

 

ABSTRAK

Satu kajian secara teori dibentangkan untuk aliran tiga matra nanobendalir bioperolakan yang mengandungi mikroorganisma girotaktik yang melalui lembaran regangan dua-paksi. Kesan gelincir anisotropi, haba dan jisim telah dipertimbangkan dalam model matematik. Transformasi persamaan yang sesuai digunakan untuk menurunkan sistem persamaan pembezaan separa ke dalam sistem pembezaan biasa bukan linear. Persamaan pembezaan biasa bukan linear dengan syarat sempadan diselesaikan secara berangka dengan prosedur bvp4c dalam perisian simbolik, MATLAB. Pengiraan matematik telah mendedahkan bahawa peningkatan dalam parameter gerakan Brownian sepadan dengan daya termoforetik yang lebih kuat yang menggalakkan pengangkutan nanopartikel daripada lembaran dua-paksi panas ke cecair statik. Hal ini meningkatkan lapisan sempadan pecahan isi padu nanopartikel. Suhu cecair dan ketebalan lapisan sempadan haba berkurangan dengan nisbah kadar regangan yang semakin meningkat pada lembaran dua paksi. Simulasi terkini adalah berkaitan dalam pembuatan bio-bahan nano dan peningkatan media haba untuk sel sel bahan api yang diilhami bio.

 

Kata kunci: Gelincir anistropi; gelincir haba; gelincir jisim; mikroorganisma; nanobendalir; bioperolakan

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*Corresponding author; email: mfaisalmbasir@usm.my