Flow and heat transfer of nanofluid over a dynamic stretching sheet with non-linear velocity and thermal radiation

A. G. Madaki, R. Roslan, R. Kandasamy, Ishak Hashim

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This study has focused on the development of the mathematical model of the nonlinear differential equatiom with both Brownian motion and thermal radiation being present. The similarity variables were used to transform the nonlinear governing boundary layer equations into ordinaq dfferential equations. The solutiom to hs problem were derived by using the Optimal Homotopy Asymptotic Method (OHAM) in whch the Runge-Kutta fourth order method with shooting technique was also used to validate the accuracy of our results. In relation to the pehnent parameters on the velocity, temperature and concentration profiles such as Brownian, thermophoresis, magnetic, shape, heat source and thermal radation parameters have all been studied and details are given in both tables and graphs, respectively. The results obtained are fascinatingly agreed with the numerical solutions along with the previously published study.

Original languageEnglish
Pages (from-to)5136-5146
Number of pages11
JournalJournal of Engineering and Applied Sciences
Volume12
Issue number20
DOIs
Publication statusPublished - 1 Jan 2017

Fingerprint

Heat radiation
Stretching
Thermophoresis
Heat transfer
Brownian movement
Boundary layers
Mathematical models
Temperature
Hot Temperature

Keywords

  • Nanofluid
  • Non-linear equation
  • Optimal Homotopy Asymptotic Method (OHAM)
  • Runge-Kutta method
  • Thermal radiation
  • Variable thickness

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Flow and heat transfer of nanofluid over a dynamic stretching sheet with non-linear velocity and thermal radiation. / Madaki, A. G.; Roslan, R.; Kandasamy, R.; Hashim, Ishak.

In: Journal of Engineering and Applied Sciences, Vol. 12, No. 20, 01.01.2017, p. 5136-5146.

Research output: Contribution to journalArticle

@article{697079e95c1340438ad67174b0f7e221,
title = "Flow and heat transfer of nanofluid over a dynamic stretching sheet with non-linear velocity and thermal radiation",
abstract = "This study has focused on the development of the mathematical model of the nonlinear differential equatiom with both Brownian motion and thermal radiation being present. The similarity variables were used to transform the nonlinear governing boundary layer equations into ordinaq dfferential equations. The solutiom to hs problem were derived by using the Optimal Homotopy Asymptotic Method (OHAM) in whch the Runge-Kutta fourth order method with shooting technique was also used to validate the accuracy of our results. In relation to the pehnent parameters on the velocity, temperature and concentration profiles such as Brownian, thermophoresis, magnetic, shape, heat source and thermal radation parameters have all been studied and details are given in both tables and graphs, respectively. The results obtained are fascinatingly agreed with the numerical solutions along with the previously published study.",
keywords = "Nanofluid, Non-linear equation, Optimal Homotopy Asymptotic Method (OHAM), Runge-Kutta method, Thermal radiation, Variable thickness",
author = "Madaki, {A. G.} and R. Roslan and R. Kandasamy and Ishak Hashim",
year = "2017",
month = "1",
day = "1",
doi = "10.3923/jeasci.2017.5136.5146",
language = "English",
volume = "12",
pages = "5136--5146",
journal = "Journal of Engineering and Applied Sciences",
issn = "1816-949X",
publisher = "Medwell Journals",
number = "20",

}

TY - JOUR

T1 - Flow and heat transfer of nanofluid over a dynamic stretching sheet with non-linear velocity and thermal radiation

AU - Madaki, A. G.

AU - Roslan, R.

AU - Kandasamy, R.

AU - Hashim, Ishak

PY - 2017/1/1

Y1 - 2017/1/1

N2 - This study has focused on the development of the mathematical model of the nonlinear differential equatiom with both Brownian motion and thermal radiation being present. The similarity variables were used to transform the nonlinear governing boundary layer equations into ordinaq dfferential equations. The solutiom to hs problem were derived by using the Optimal Homotopy Asymptotic Method (OHAM) in whch the Runge-Kutta fourth order method with shooting technique was also used to validate the accuracy of our results. In relation to the pehnent parameters on the velocity, temperature and concentration profiles such as Brownian, thermophoresis, magnetic, shape, heat source and thermal radation parameters have all been studied and details are given in both tables and graphs, respectively. The results obtained are fascinatingly agreed with the numerical solutions along with the previously published study.

AB - This study has focused on the development of the mathematical model of the nonlinear differential equatiom with both Brownian motion and thermal radiation being present. The similarity variables were used to transform the nonlinear governing boundary layer equations into ordinaq dfferential equations. The solutiom to hs problem were derived by using the Optimal Homotopy Asymptotic Method (OHAM) in whch the Runge-Kutta fourth order method with shooting technique was also used to validate the accuracy of our results. In relation to the pehnent parameters on the velocity, temperature and concentration profiles such as Brownian, thermophoresis, magnetic, shape, heat source and thermal radation parameters have all been studied and details are given in both tables and graphs, respectively. The results obtained are fascinatingly agreed with the numerical solutions along with the previously published study.

KW - Nanofluid

KW - Non-linear equation

KW - Optimal Homotopy Asymptotic Method (OHAM)

KW - Runge-Kutta method

KW - Thermal radiation

KW - Variable thickness

UR - http://www.scopus.com/inward/record.url?scp=85035017318&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85035017318&partnerID=8YFLogxK

U2 - 10.3923/jeasci.2017.5136.5146

DO - 10.3923/jeasci.2017.5136.5146

M3 - Article

VL - 12

SP - 5136

EP - 5146

JO - Journal of Engineering and Applied Sciences

JF - Journal of Engineering and Applied Sciences

SN - 1816-949X

IS - 20

ER -