Mixed convection boundary-layer stagnation point flow past a vertical stretching/shrinking surface in a nanofluid

Noor Adila Othman, Nor Azizah Yacob, Norfifah Bachok, Anuar Mohd Ishak, Ioan Pop

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

A steady two dimensional mixed convection boundary layer flow near a stagnation point on a impermeable vertical stretching/shrinking surface in a nanofluid with controlled nanoparticles volume fraction is investigated numerically. The stretching/shrinking velocity and the ambient fluid velocity are assumed to vary linearly with the distance from the stagnation-point. The governing partial differential equations are first transformed into ordinary differential equations using a similarity transformation, before being solved numerically using a shooting method. The effects of several physical parameters such as mixed convection parameter, stretching/shrinking parameter, Brownian motion parameter, thermophoresis parameter and Lewis number on the skin friction coefficient, heat and mass transfer rates at the surface as well as the velocity, temperature and concentration profiles are analysed and discussed. It was found that increasing the particular values of the mixed convection parameter tends to increase the skin friction coefficient, heat and mass transfer rates at the surface. The results obtained show that the solution is unique for the stretching surface whereas dual (upper and lower branch) solutions exist for the shrinking surface. It should be mentioned that the solutions obtained are only locally similar.

Original languageEnglish
JournalApplied Thermal Engineering
DOIs
Publication statusAccepted/In press - 22 Mar 2016

Fingerprint

Mixed convection
Stretching
Boundary layers
Skin friction
Heat transfer coefficients
Mass transfer
Thermophoresis
Boundary layer flow
Brownian movement
Ordinary differential equations
Partial differential equations
Volume fraction
Nanoparticles
Fluids
Temperature

Keywords

  • Mixed convection
  • Nanofluid
  • Stagnation point
  • Stretching/shrinking

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Industrial and Manufacturing Engineering

Cite this

Mixed convection boundary-layer stagnation point flow past a vertical stretching/shrinking surface in a nanofluid. / Othman, Noor Adila; Yacob, Nor Azizah; Bachok, Norfifah; Mohd Ishak, Anuar; Pop, Ioan.

In: Applied Thermal Engineering, 22.03.2016.

Research output: Contribution to journalArticle

@article{6be7f42c6ad14034b8c78d7a536cff67,
title = "Mixed convection boundary-layer stagnation point flow past a vertical stretching/shrinking surface in a nanofluid",
abstract = "A steady two dimensional mixed convection boundary layer flow near a stagnation point on a impermeable vertical stretching/shrinking surface in a nanofluid with controlled nanoparticles volume fraction is investigated numerically. The stretching/shrinking velocity and the ambient fluid velocity are assumed to vary linearly with the distance from the stagnation-point. The governing partial differential equations are first transformed into ordinary differential equations using a similarity transformation, before being solved numerically using a shooting method. The effects of several physical parameters such as mixed convection parameter, stretching/shrinking parameter, Brownian motion parameter, thermophoresis parameter and Lewis number on the skin friction coefficient, heat and mass transfer rates at the surface as well as the velocity, temperature and concentration profiles are analysed and discussed. It was found that increasing the particular values of the mixed convection parameter tends to increase the skin friction coefficient, heat and mass transfer rates at the surface. The results obtained show that the solution is unique for the stretching surface whereas dual (upper and lower branch) solutions exist for the shrinking surface. It should be mentioned that the solutions obtained are only locally similar.",
keywords = "Mixed convection, Nanofluid, Stagnation point, Stretching/shrinking",
author = "Othman, {Noor Adila} and Yacob, {Nor Azizah} and Norfifah Bachok and {Mohd Ishak}, Anuar and Ioan Pop",
year = "2016",
month = "3",
day = "22",
doi = "10.1016/j.applthermaleng.2016.10.159",
language = "English",
journal = "Applied Thermal Engineering",
issn = "1359-4311",
publisher = "Elsevier Limited",

}

TY - JOUR

T1 - Mixed convection boundary-layer stagnation point flow past a vertical stretching/shrinking surface in a nanofluid

AU - Othman, Noor Adila

AU - Yacob, Nor Azizah

AU - Bachok, Norfifah

AU - Mohd Ishak, Anuar

AU - Pop, Ioan

PY - 2016/3/22

Y1 - 2016/3/22

N2 - A steady two dimensional mixed convection boundary layer flow near a stagnation point on a impermeable vertical stretching/shrinking surface in a nanofluid with controlled nanoparticles volume fraction is investigated numerically. The stretching/shrinking velocity and the ambient fluid velocity are assumed to vary linearly with the distance from the stagnation-point. The governing partial differential equations are first transformed into ordinary differential equations using a similarity transformation, before being solved numerically using a shooting method. The effects of several physical parameters such as mixed convection parameter, stretching/shrinking parameter, Brownian motion parameter, thermophoresis parameter and Lewis number on the skin friction coefficient, heat and mass transfer rates at the surface as well as the velocity, temperature and concentration profiles are analysed and discussed. It was found that increasing the particular values of the mixed convection parameter tends to increase the skin friction coefficient, heat and mass transfer rates at the surface. The results obtained show that the solution is unique for the stretching surface whereas dual (upper and lower branch) solutions exist for the shrinking surface. It should be mentioned that the solutions obtained are only locally similar.

AB - A steady two dimensional mixed convection boundary layer flow near a stagnation point on a impermeable vertical stretching/shrinking surface in a nanofluid with controlled nanoparticles volume fraction is investigated numerically. The stretching/shrinking velocity and the ambient fluid velocity are assumed to vary linearly with the distance from the stagnation-point. The governing partial differential equations are first transformed into ordinary differential equations using a similarity transformation, before being solved numerically using a shooting method. The effects of several physical parameters such as mixed convection parameter, stretching/shrinking parameter, Brownian motion parameter, thermophoresis parameter and Lewis number on the skin friction coefficient, heat and mass transfer rates at the surface as well as the velocity, temperature and concentration profiles are analysed and discussed. It was found that increasing the particular values of the mixed convection parameter tends to increase the skin friction coefficient, heat and mass transfer rates at the surface. The results obtained show that the solution is unique for the stretching surface whereas dual (upper and lower branch) solutions exist for the shrinking surface. It should be mentioned that the solutions obtained are only locally similar.

KW - Mixed convection

KW - Nanofluid

KW - Stagnation point

KW - Stretching/shrinking

UR - http://www.scopus.com/inward/record.url?scp=85005914697&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85005914697&partnerID=8YFLogxK

U2 - 10.1016/j.applthermaleng.2016.10.159

DO - 10.1016/j.applthermaleng.2016.10.159

M3 - Article

JO - Applied Thermal Engineering

JF - Applied Thermal Engineering

SN - 1359-4311

ER -