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Research Papers

Computational Analysis for Mixed Convective Flows of Viscous Fluids With Nanoparticles

[+] Author and Article Information
Umer Farooq

Department of Mathematics,
Faculty of Science,
Jiangsu University,
Zhenjiang 212013, China;
Department of Mathematics,
COMSATS University Islamabad,
Islamabad 44000, Pakistan
e-mail: umer_farooq@comsats.edu.pk

DianChen Lu

Department of Mathematics,
Faculty of Science,
Jiangsu University,
Zhenjiang 212013, China
e-mail: dclu@ujs.edu.cn

Salim Ahmed

Department of Mathematics,
COMSATS University Islamabad,
Islamabad 44000, Pakistan

Muhammad Ramzan

Department of Computer Science,
Bahria University,
Islamabad 44000, Pakistan;
Department of Mechanical Engineering,
Sejong University,
Seoul 143–747, South Korea

Jae Dong Chung

Department of Mechanical Engineering,
Sejong University,
Seoul 143–747, South Korea

Farman Ali Chandio

Department of Farm Power and Machinery,
Faculty of Agricultural Engineering,
Sindh Agriculture University,
Tandojam 70060, Pakistan

1Corresponding authors.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received October 4, 2017; final manuscript received October 18, 2018; published online December 6, 2018. Assoc. Editor: Sandip Mazumder.

J. Thermal Sci. Eng. Appl 11(2), 021013 (Dec 06, 2018) (7 pages) Paper No: TSEA-17-1379; doi: 10.1115/1.4041873 History: Received October 04, 2017; Revised October 18, 2018

In this article, magnetohydrodynamic (MHD) mixed convection in an exponentially stretchable surface saturated with viscous fluid has been studied. BVPh 2.0 is employed which is mathematica-based algorithm created on the basis of optimal homotopy analysis method (OHAM). Adequate transformations are utilized for the conversion of governing system into nonlinear ordinary differential system. Convergence of BVPh 2.0 results is demonstrated through tabular values of squared residual errors. Graphical analysis is executed for broad range of governing parameters. It has been revealed an increase in buoyancy leads to the growth of boundary layer width. Further results predict the heat infiltration into the fluid increases as Brownian motion and Biot number enlarges. Mathematically this work exhibits the potential of BVPh 2.0 for nonlinear differential systems.

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Figures

Grahic Jump Location
Fig. 1

Physical configuration

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Fig. 13

Graphs of Sherwood number for different Nt

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Fig. 12

Graphs of Sherwood number for different Nb

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Fig. 11

Graphs of Nusselt number for varying Nt

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Fig. 10

Graphs of Nusselt number for varying Nb

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Fig. 9

Graphs of skin friction coefficient for varying Nt

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Fig. 8

Graphs of skin friction coefficients for different Nb with λ = −1

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Fig. 7

Graphs of skin friction coefficients for different Nb with λ = +1

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Fig. 6

Graphs of ϕ(η) for different Nb and Le

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Fig. 5

Graphs of ϕ(η) for different Nt and N

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Fig. 4

Graphs of θ(η) for different Nb and N

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Fig. 3

Graphs of θ(η) for different γ

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Fig. 2

Graphs of fη(η) for different λ and N

Tables

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