Numerical Solution of Casson Nanofluid Flow Over a Non-linear Inclined Surface With Soret and Dufour Effects by Keller-Box Method

In this article, the effects of a Casson Nanofluid boundary layer flow, over an inclined extending surface with Soret and Dufour, is scrutinized. The model used in this study is based on the Buongiorno model of the thermal efficiencies of the fluid flows in the presence of Brownian motion and thermo...

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Main Authors: Khuram Rafique, Muhammad Imran Anwar, Masnita Misiran, Ilyas Khan, S. O. Alharbi, Phatiphat Thounthong, K. S. Nisar
Format: Article
Language:English
Published: Frontiers Media S.A. 2019-10-01
Series:Frontiers in Physics
Subjects:
Online Access:https://www.frontiersin.org/article/10.3389/fphy.2019.00139/full
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author Khuram Rafique
Muhammad Imran Anwar
Muhammad Imran Anwar
Muhammad Imran Anwar
Masnita Misiran
Ilyas Khan
S. O. Alharbi
Phatiphat Thounthong
K. S. Nisar
author_facet Khuram Rafique
Muhammad Imran Anwar
Muhammad Imran Anwar
Muhammad Imran Anwar
Masnita Misiran
Ilyas Khan
S. O. Alharbi
Phatiphat Thounthong
K. S. Nisar
author_sort Khuram Rafique
collection DOAJ
description In this article, the effects of a Casson Nanofluid boundary layer flow, over an inclined extending surface with Soret and Dufour, is scrutinized. The model used in this study is based on the Buongiorno model of the thermal efficiencies of the fluid flows in the presence of Brownian motion and thermophoresis properties. The non-linear problem for Casson Nanofluid flow over an inclined channel is modeled to gain knowledge on the heat and mass exchange phenomenon, by considering important flow parameters of the intensified boundary layer. The governing non-linear partial differential equations are changed to non-linear ordinary differential equations and are afterward illustrated numerically by the Keller-Box scheme. A comparison of the established results, if the incorporated effects are lacking, is performed with the available outcomes of Khan and Pop [1] and recognized in a nice settlement. Numerical and graphical results are also presented in tables and graphs.
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spelling doaj.art-b03f1a1612cc4814b107e1b45fcef97c2022-12-22T02:02:16ZengFrontiers Media S.A.Frontiers in Physics2296-424X2019-10-01710.3389/fphy.2019.00139483726Numerical Solution of Casson Nanofluid Flow Over a Non-linear Inclined Surface With Soret and Dufour Effects by Keller-Box MethodKhuram Rafique0Muhammad Imran Anwar1Muhammad Imran Anwar2Muhammad Imran Anwar3Masnita Misiran4Ilyas Khan5S. O. Alharbi6Phatiphat Thounthong7K. S. Nisar8School of Quantitative Sciences, Universiti Utara Malaysia, Sintok, MalaysiaSchool of Quantitative Sciences, Universiti Utara Malaysia, Sintok, MalaysiaDepartment of Mathematics, Faculty of Science, University of Sargodha, Sargodha, PakistanHigher Education Department (HED) Punjab, Lahore, PakistanSchool of Quantitative Sciences, Universiti Utara Malaysia, Sintok, MalaysiaFaculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, VietnamDepartment of Mathematics, College of Science Al-Zulfi, Majmaah University, Al Majmaah, Saudi ArabiaDepartment of Teacher Training in Electrical Engineering, Faculty of Technical Education, Renewable Energy Research Centre, King Mongkut's University of Technology North Bangkok, Bang Sue, ThailandDepartment of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Al Dawasir, Saudi ArabiaIn this article, the effects of a Casson Nanofluid boundary layer flow, over an inclined extending surface with Soret and Dufour, is scrutinized. The model used in this study is based on the Buongiorno model of the thermal efficiencies of the fluid flows in the presence of Brownian motion and thermophoresis properties. The non-linear problem for Casson Nanofluid flow over an inclined channel is modeled to gain knowledge on the heat and mass exchange phenomenon, by considering important flow parameters of the intensified boundary layer. The governing non-linear partial differential equations are changed to non-linear ordinary differential equations and are afterward illustrated numerically by the Keller-Box scheme. A comparison of the established results, if the incorporated effects are lacking, is performed with the available outcomes of Khan and Pop [1] and recognized in a nice settlement. Numerical and graphical results are also presented in tables and graphs.https://www.frontiersin.org/article/10.3389/fphy.2019.00139/fullcasson nanofluidMHDpower law fluidsoret effectdufour effectinclined surface
spellingShingle Khuram Rafique
Muhammad Imran Anwar
Muhammad Imran Anwar
Muhammad Imran Anwar
Masnita Misiran
Ilyas Khan
S. O. Alharbi
Phatiphat Thounthong
K. S. Nisar
Numerical Solution of Casson Nanofluid Flow Over a Non-linear Inclined Surface With Soret and Dufour Effects by Keller-Box Method
Frontiers in Physics
casson nanofluid
MHD
power law fluid
soret effect
dufour effect
inclined surface
title Numerical Solution of Casson Nanofluid Flow Over a Non-linear Inclined Surface With Soret and Dufour Effects by Keller-Box Method
title_full Numerical Solution of Casson Nanofluid Flow Over a Non-linear Inclined Surface With Soret and Dufour Effects by Keller-Box Method
title_fullStr Numerical Solution of Casson Nanofluid Flow Over a Non-linear Inclined Surface With Soret and Dufour Effects by Keller-Box Method
title_full_unstemmed Numerical Solution of Casson Nanofluid Flow Over a Non-linear Inclined Surface With Soret and Dufour Effects by Keller-Box Method
title_short Numerical Solution of Casson Nanofluid Flow Over a Non-linear Inclined Surface With Soret and Dufour Effects by Keller-Box Method
title_sort numerical solution of casson nanofluid flow over a non linear inclined surface with soret and dufour effects by keller box method
topic casson nanofluid
MHD
power law fluid
soret effect
dufour effect
inclined surface
url https://www.frontiersin.org/article/10.3389/fphy.2019.00139/full
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