Mixed convection flow about a solid sphere with constant heat flux embedded in a porous medium filled by a nanofluid

Buongiorno-Darcy model

Leony Tham, Roslinda Mohd. Nazar, Ioan Pop

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

The laminar mixed convection boundary layer flow about a solid sphere in a nanofluid, which is maintained at a constant surface heat flux, has been studied via the nanofluid Buongiorno model and porous medium Darcy model for both cases of a heated and cooled sphere. The resulting system of nonlinear partial differential equations is solved numerically using an implicit finite-difference scheme known as the Keller box method. The solutions for the flow and heat transfer characteristics are evaluated numerically and studied for various values of the governing parameters, namely the Brownian motion parameter, thermophoresis parameter and mixed convection parameter. It is found that the boundary layer separates from the sphere for some negative values of the mixed convection parameter (opposing flow), and increasing the mixed convection parameter delays the boundary layer separation and the separation can be completely suppressed for sufficiently large values of the mixed convection parameter.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
PublisherAmerican Institute of Physics Inc.
Pages139-145
Number of pages7
Volume1602
ISBN (Print)9780735412361
DOIs
Publication statusPublished - 2014
Event3rd International Conference on Mathematical Sciences, ICMS 2013 - Kuala Lumpur
Duration: 17 Dec 201319 Dec 2013

Other

Other3rd International Conference on Mathematical Sciences, ICMS 2013
CityKuala Lumpur
Period17/12/1319/12/13

Fingerprint

heat flux
convection
thermophoresis
boundary layer separation
boundary layer flow
partial differential equations
boxes
boundary layers
heat transfer

Keywords

  • Buongiorno model
  • Darcy model
  • Heat flux9
  • Nanofluid
  • Porous medium
  • Solid sphere

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Mixed convection flow about a solid sphere with constant heat flux embedded in a porous medium filled by a nanofluid : Buongiorno-Darcy model. / Tham, Leony; Mohd. Nazar, Roslinda; Pop, Ioan.

AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. p. 139-145.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Tham, L, Mohd. Nazar, R & Pop, I 2014, Mixed convection flow about a solid sphere with constant heat flux embedded in a porous medium filled by a nanofluid: Buongiorno-Darcy model. in AIP Conference Proceedings. vol. 1602, American Institute of Physics Inc., pp. 139-145, 3rd International Conference on Mathematical Sciences, ICMS 2013, Kuala Lumpur, 17/12/13. https://doi.org/10.1063/1.4882479
Tham, Leony ; Mohd. Nazar, Roslinda ; Pop, Ioan. / Mixed convection flow about a solid sphere with constant heat flux embedded in a porous medium filled by a nanofluid : Buongiorno-Darcy model. AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. pp. 139-145
@inproceedings{f7027199b8054f2890b1b0d34aa204e9,
title = "Mixed convection flow about a solid sphere with constant heat flux embedded in a porous medium filled by a nanofluid: Buongiorno-Darcy model",
abstract = "The laminar mixed convection boundary layer flow about a solid sphere in a nanofluid, which is maintained at a constant surface heat flux, has been studied via the nanofluid Buongiorno model and porous medium Darcy model for both cases of a heated and cooled sphere. The resulting system of nonlinear partial differential equations is solved numerically using an implicit finite-difference scheme known as the Keller box method. The solutions for the flow and heat transfer characteristics are evaluated numerically and studied for various values of the governing parameters, namely the Brownian motion parameter, thermophoresis parameter and mixed convection parameter. It is found that the boundary layer separates from the sphere for some negative values of the mixed convection parameter (opposing flow), and increasing the mixed convection parameter delays the boundary layer separation and the separation can be completely suppressed for sufficiently large values of the mixed convection parameter.",
keywords = "Buongiorno model, Darcy model, Heat flux9, Nanofluid, Porous medium, Solid sphere",
author = "Leony Tham and {Mohd. Nazar}, Roslinda and Ioan Pop",
year = "2014",
doi = "10.1063/1.4882479",
language = "English",
isbn = "9780735412361",
volume = "1602",
pages = "139--145",
booktitle = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",

}

TY - GEN

T1 - Mixed convection flow about a solid sphere with constant heat flux embedded in a porous medium filled by a nanofluid

T2 - Buongiorno-Darcy model

AU - Tham, Leony

AU - Mohd. Nazar, Roslinda

AU - Pop, Ioan

PY - 2014

Y1 - 2014

N2 - The laminar mixed convection boundary layer flow about a solid sphere in a nanofluid, which is maintained at a constant surface heat flux, has been studied via the nanofluid Buongiorno model and porous medium Darcy model for both cases of a heated and cooled sphere. The resulting system of nonlinear partial differential equations is solved numerically using an implicit finite-difference scheme known as the Keller box method. The solutions for the flow and heat transfer characteristics are evaluated numerically and studied for various values of the governing parameters, namely the Brownian motion parameter, thermophoresis parameter and mixed convection parameter. It is found that the boundary layer separates from the sphere for some negative values of the mixed convection parameter (opposing flow), and increasing the mixed convection parameter delays the boundary layer separation and the separation can be completely suppressed for sufficiently large values of the mixed convection parameter.

AB - The laminar mixed convection boundary layer flow about a solid sphere in a nanofluid, which is maintained at a constant surface heat flux, has been studied via the nanofluid Buongiorno model and porous medium Darcy model for both cases of a heated and cooled sphere. The resulting system of nonlinear partial differential equations is solved numerically using an implicit finite-difference scheme known as the Keller box method. The solutions for the flow and heat transfer characteristics are evaluated numerically and studied for various values of the governing parameters, namely the Brownian motion parameter, thermophoresis parameter and mixed convection parameter. It is found that the boundary layer separates from the sphere for some negative values of the mixed convection parameter (opposing flow), and increasing the mixed convection parameter delays the boundary layer separation and the separation can be completely suppressed for sufficiently large values of the mixed convection parameter.

KW - Buongiorno model

KW - Darcy model

KW - Heat flux9

KW - Nanofluid

KW - Porous medium

KW - Solid sphere

UR - http://www.scopus.com/inward/record.url?scp=84904098229&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84904098229&partnerID=8YFLogxK

U2 - 10.1063/1.4882479

DO - 10.1063/1.4882479

M3 - Conference contribution

SN - 9780735412361

VL - 1602

SP - 139

EP - 145

BT - AIP Conference Proceedings

PB - American Institute of Physics Inc.

ER -