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Research Papers: Micro/Nanoscale Heat Transfer

Effects of Homogeneous–Heterogeneous Reactions and Convective Condition in Darcy–Forchheimer Flow of Carbon Nanotubes

[+] Author and Article Information
Ali Saleh Alshomrani

Department of Mathematics,
Faculty of Science,
King Abdulaziz University,
Jeddah 21589, Saudi Arabia
e-mail: aszalshomrani@kau.edu.sa

Malik Zaka Ullah

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 HEAT TRANSFER. Manuscript received April 27, 2018; final manuscript received August 31, 2018; published online November 5, 2018. Assoc. Editor: Evelyn Wang.

J. Heat Transfer 141(1), 012405 (Nov 05, 2018) (8 pages) Paper No: HT-18-1273; doi: 10.1115/1.4041553 History: Received April 27, 2018; Revised August 31, 2018

This paper presents Darcy–Forchheimer three-dimensional (3D) flow of water-based carbon nanotubes (CNTs) with heterogeneous–homogeneous reactions. A bi-directional linear extendable surface has been employed to create the flow. Flow in porous space is represented by Darcy–Forchheimer expression. Heat transfer mechanism is explored through convective heating. Equal diffusion coefficients are considered for both autocatalyst and reactants. Results for single-wall carbon nanotube (SWCNT) and multiwall carbon nanotube (MWCNT) have been presented and compared. The diminishment of partial differential framework into nonlinear ordinary differential framework is made through suitable transformations. Optimal homotopy scheme is used for arrangements development of governing flow problem. Optimal homotopic solution expressions for velocities and temperature are studied through plots by considering various estimations of physical variables. The skin friction coefficients and local Nusselt number are analyzed through plots. Our findings depict that the skin friction coefficients and local Nusselt number are enhanced for larger values of the nanoparticles volume fraction.

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Figures

Grahic Jump Location
Fig. 1

Physical configuration and coordinate system

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Fig. 2

Plots of f′(η) for ϕ

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Fig. 3

Plots of f′(η) for λ

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Fig. 4

Plots of f′(η) for Fr

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Fig. 5

Plots of g′(η) for ϕ

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Fig. 6

Plots of g′(η) for λ

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Fig. 7

Plots of g′(η) for Fr

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Fig. 8

Plots of θ(η) for Bi

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Fig. 9

Plots of φ(η) for ϕ

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Fig. 10

Plots of φ(η) for Sc

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Fig. 11

Plots of φ(η) for k1

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Fig. 12

Plots of φ(η) for k2

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Fig. 13

Plots of CfRex1/2 for α and ϕ

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Fig. 14

Plots of CgRey1/2 for α and ϕ

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Fig. 15

Plots of NuRex−1/2 for Bi and ϕ

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