Nonlinear convective stratified flow of Maxwell nanofluid with activation energy

The aim of present article is to explore the novel aspects of activation energy in nonlinearly convective flow of Maxwell nanofluid driven by nonlinearly stretched inclined cylinder. Generalized forms of Fourier's and Fick's law are utilized through Cattaneo-Christov double diffusion schem...

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Main Authors: Misbah Ijaz, Muhammad Ayub
Format: Article
Language:English
Published: Elsevier 2019-01-01
Series:Heliyon
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2405844018335710
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author Misbah Ijaz
Muhammad Ayub
author_facet Misbah Ijaz
Muhammad Ayub
author_sort Misbah Ijaz
collection DOAJ
description The aim of present article is to explore the novel aspects of activation energy in nonlinearly convective flow of Maxwell nanofluid driven by nonlinearly stretched inclined cylinder. Generalized forms of Fourier's and Fick's law are utilized through Cattaneo-Christov double diffusion scheme. Maxwell nanomaterial model is used to describe the significant slip mechanism namely known as Brownian and thermophoresis diffusions. Features of double stratification, non-uniform heat generation/absorption, binary chemical reaction and activation energy are considered for present flow problem. Modified Arrhenius formula for activation energy is implemented. The resulting nonlinear system is cracked for series solutions via homotopy technique. Effects of different flow parameters on temperature, nanoparticle volume concentration and velocity fields are examined through graphs and tables. Numerical computations are performed for local Nusselt and Sherwood numbers. Our analysis reveals that nanoparticle concentration is directly proportional to the chemical reaction with activation energy. Moreover stratification variables diminish the temperature and concentration. It is also noticed that higher estimation of Deborah number declines the velocity profile of Maxwell fluid. Numerical outcomes are compared with previous published results and found to be in good agreement for limiting cases of the evolving parameters.
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spelling doaj.art-2804996a76154f9e9018969b74b5c53b2022-12-22T03:39:52ZengElsevierHeliyon2405-84402019-01-0151e01121Nonlinear convective stratified flow of Maxwell nanofluid with activation energyMisbah Ijaz0Muhammad Ayub1Corresponding author.; Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, PakistanDepartment of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, PakistanThe aim of present article is to explore the novel aspects of activation energy in nonlinearly convective flow of Maxwell nanofluid driven by nonlinearly stretched inclined cylinder. Generalized forms of Fourier's and Fick's law are utilized through Cattaneo-Christov double diffusion scheme. Maxwell nanomaterial model is used to describe the significant slip mechanism namely known as Brownian and thermophoresis diffusions. Features of double stratification, non-uniform heat generation/absorption, binary chemical reaction and activation energy are considered for present flow problem. Modified Arrhenius formula for activation energy is implemented. The resulting nonlinear system is cracked for series solutions via homotopy technique. Effects of different flow parameters on temperature, nanoparticle volume concentration and velocity fields are examined through graphs and tables. Numerical computations are performed for local Nusselt and Sherwood numbers. Our analysis reveals that nanoparticle concentration is directly proportional to the chemical reaction with activation energy. Moreover stratification variables diminish the temperature and concentration. It is also noticed that higher estimation of Deborah number declines the velocity profile of Maxwell fluid. Numerical outcomes are compared with previous published results and found to be in good agreement for limiting cases of the evolving parameters.http://www.sciencedirect.com/science/article/pii/S2405844018335710Applied mathematicsComputational mathematicsMechanics
spellingShingle Misbah Ijaz
Muhammad Ayub
Nonlinear convective stratified flow of Maxwell nanofluid with activation energy
Heliyon
Applied mathematics
Computational mathematics
Mechanics
title Nonlinear convective stratified flow of Maxwell nanofluid with activation energy
title_full Nonlinear convective stratified flow of Maxwell nanofluid with activation energy
title_fullStr Nonlinear convective stratified flow of Maxwell nanofluid with activation energy
title_full_unstemmed Nonlinear convective stratified flow of Maxwell nanofluid with activation energy
title_short Nonlinear convective stratified flow of Maxwell nanofluid with activation energy
title_sort nonlinear convective stratified flow of maxwell nanofluid with activation energy
topic Applied mathematics
Computational mathematics
Mechanics
url http://www.sciencedirect.com/science/article/pii/S2405844018335710
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AT muhammadayub nonlinearconvectivestratifiedflowofmaxwellnanofluidwithactivationenergy