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Research Papers

On Model for Three-Dimensional Flow of Nanofluid With Heat and Mass Flux Boundary Conditions

[+] Author and Article Information
Tasawar Hayat

Department of Mathematics,
Quaid-I-Azam University,
Islamabad 44000, Pakistan;
Nonlinear Analysis and Applied Mathematics
(NAAM) Research Group,
Department of Mathematics,
Faculty of Science,
King Abdulaziz University,
Jeddah 21589, Saudi Arabia

Mumtaz Khan

Department of Mathematics,
Quaid-I-Azam University,
Islamabad 44000, Pakistan

Taseer Muhammad

Department of Mathematics,
Quaid-I-Azam University,
Islamabad 44000, Pakistan;
Department of Mathematics,
Government College Women University,
Sialkot 51310, Pakistan
e-mail: taseer_qau@yahoo.com

Ahmed Alsaedi

Nonlinear Analysis and Applied Mathematics
(NAAM) Research Group,
Department of Mathematics,
Faculty of Science,
King Abdulaziz University,
Jeddah 21589, Saudi Arabia

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received February 9, 2017; final manuscript received October 30, 2017; published online January 30, 2018. Assoc. Editor: Hongbin Ma.

J. Thermal Sci. Eng. Appl 10(3), 031003 (Jan 30, 2018) (6 pages) Paper No: TSEA-17-1037; doi: 10.1115/1.4038700 History: Received February 09, 2017; Revised October 30, 2017

The present paper examines magnetohydrodynamic (MHD) three-dimensional (3D) flow of viscous nanoliquid in the presence of heat and mass flux conditions. A bidirectional nonlinearly stretching surface has been employed to create the flow. Heat and mass transfer attribute analyzed via thermophoresis and Brownian diffusion aspects. Viscous liquid is electrically conducted subject to applied magnetic field. Problem formulation is made through the boundary layer approximation under small magnetic Reynolds number. Appropriate transformations yield the strong nonlinear ordinary differential system. The obtained nonlinear system has been solved for the convergent homotopic solutions. Effects of different pertinent parameters with respect to temperature and concentration are sketched and discussed. The coefficients of skin friction and heat and mass transfer rates are computed numerically.

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References

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Figures

Grahic Jump Location
Fig. 5

Plots of θ(η) for Nb

Grahic Jump Location
Fig. 6

Plots of θ(η) for Nt

Grahic Jump Location
Fig. 7

Plots of θ(η) for Pr

Grahic Jump Location
Fig. 8

Plots of ϕ(η) for α

Grahic Jump Location
Fig. 9

Plots of ϕ(η) for M

Grahic Jump Location
Fig. 10

Plots of ϕ(η) for Le

Grahic Jump Location
Fig. 11

Plots of ϕ(η) for Pr

Grahic Jump Location
Fig. 12

Plots of ϕ(η) for Nb

Grahic Jump Location
Fig. 13

Plots of ϕ(η) for Nt

Grahic Jump Location
Fig. 4

Plots of θ(η) for M

Grahic Jump Location
Fig. 3

Plots of θ(η) for α

Grahic Jump Location
Fig. 2

The ℏ-curves for θ and ϕ

Grahic Jump Location
Fig. 1

The ℏ-curves for f and g

Tables

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