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research-article

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
aszalshomrani@kau.edu.sa

Malik Zaka Ullah

Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
malikzakas@gmail.com

1Corresponding author.

ASME doi:10.1115/1.4041553 History: Received April 27, 2018; Revised August 31, 2018

Abstract

This article 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 auto catalyst and reactants. Results for single-wall (SWCNT) and multi-wall (MWCNT) carbon nanotubes 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.

Copyright (c) 2018 by ASME
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