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Technical Brief

Computational Study of Three-Dimensional Stagnation Point Nanofluid Bioconvection Flow on a Moving Surface With Anisotropic Slip and Thermal Jump Effect

[+] Author and Article Information
M. J. Uddin

Head of the Mathematics Department,
American International University-Bangladesh,
Banani, Dhaka 1213, Bangladesh
e-mail: jashim_74@yahoo.com

W. A. Khan

Department of Mechanical and Industrial Engineering,
College of Engineering,
Majmaah University,
Majmaah 11952, Saudi Arabia
e-mail: wkhan_20002@yahoo.com

A. I. Md. Ismail

School of Mathematical Sciences,
Universiti Sains Malaysia,
Penang 11800, Malaysia
e-mail: ahmad_izani@usm.my

O. Anwar Bég

Spray Research Group,
Petroleum and Gas Engineering Division,
School of Computing, Science and Engineering (CSE),
University of Salford,
Room G77,
Newton Building,
Salford M54WT, UK
e-mail: O.A.Beg@salford.ac.uk

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received March 18, 2015; final manuscript received May 6, 2016; published online June 7, 2016. Assoc. Editor: Andrey Kuznetsov.

J. Heat Transfer 138(10), 104502 (Jun 07, 2016) (7 pages) Paper No: HT-15-1204; doi: 10.1115/1.4033581 History: Received March 18, 2015; Revised May 06, 2016

The effects of anisotropic slip and thermal jump on the three-dimensional stagnation point flow of nanofluid containing microorganisms from a moving surface have been investigated numerically. Anisotropic slip takes place on geometrically striated surfaces and superhydrophobic strips. Zero mass flux of nanoparticles at the surface is applied to achieve practically applicable results. Using appropriate similarity transformations, the transport equations are reduced to a system of nonlinear ordinary differential equations with coupled boundary conditions. Numerical solutions are reported by means of very efficient numerical method provided by the symbolic code Maple. The influences of the emerging parameters on the dimensionless velocity, temperature, nanoparticle volumetric fraction, density of motile microorganism profiles, as well as the local skin friction coefficient, the local Nusselt number, and the local density of the motile microorganisms are displayed graphically and illustrated in detail. The computations demonstrate that the skin friction along the x-axis is enhanced with the velocity slip parameter along the y-axis. The converse response is observed for the dimensionless skin friction along the y-axis. The heat transfer rate is increased with greater velocity slip effects but depressed with the thermal slip parameter. The local Nusselt number is increased with Prandtl number and decreased with the thermophoresis parameter. The local density for motile microorganisms is enhanced with velocity slip parameters and depressed with the bioconvection Lewis number, thermophoresis, and Péclet number. Numerical results are validated where possible with published results and excellent correlation is achieved.

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Figures

Grahic Jump Location
Fig. 1

Flow model and coordinates system

Grahic Jump Location
Fig. 2

Effects of λ1,λ2 on f′(η), g′(η) (a) the x-axis and (b) the y-axis

Grahic Jump Location
Fig. 3

The universal functions along (a) the striation and (b) across striations

Grahic Jump Location
Fig. 4

Variation of φ(η) with (a) λ1,λ2 (b) λ3 and Pr

Grahic Jump Location
Fig. 5

Variation of φ(η) with (a) λ1,λ2 and (b) Nt and Le

Grahic Jump Location
Fig. 6

Variation of χ(η) with (a) λ1,λ2 and (b) λ3 and Pr

Grahic Jump Location
Fig. 7

Effects of λ1,λ2 on (a) the friction along the x-axis and (b) friction along the y-axis

Grahic Jump Location
Fig. 8

Variation of the local Nusselt numbers with (a) λ1,λ2,λ3 and (b) Nt and Pr

Grahic Jump Location
Fig. 9

Variation of the local density number of the motile microorganisms with (a) λ1,λ2, and Nt and (b) Lb, Nb, and Nt

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