Mixed convection boundary layer flow past a horizontal circular cylinder embedded in a porous medium saturated by a nanofluid

Brinkman model

Leony Tham, Roslinda Mohd. Nazar, Ioan Pop

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

In this paper, the steady mixed convection boundary layer flow past a horizontal circular cylinder with a constant surface temperature and embedded in a porous medium saturated by a nanofluid in a stream flowing vertically upward has been studied by the Brinkman model for both cases of a heated and cooled cylinder. The resulting system of nonlinear partial differential equations is solved numerically using an implicit finite-difference scheme. Numerical results are obtained and discussed for the skin friction coefficient, the local Nusselt number, and the local Sherwood number, as well as the velocity, temperature, and nanoparticle volume fraction profiles, for various values of the governing parameters, namely, the mixed convection parameter, Darcy-Brinkman parameter, Lewis number, Brownian number, buoyancy ratio parameter, and thermophoresis parameter. From this study, it is found that the nanoparticle volume fraction improved the fluid-flow and heat-transfer characteristics.

Original languageEnglish
Pages (from-to)445-457
Number of pages13
JournalJournal of Porous Media
Volume16
Issue number5
DOIs
Publication statusPublished - 2013

Fingerprint

Nanofluid
Mixed Convection
Mixed convection
boundary layer flow
Boundary layer flow
Boundary Layer Flow
circular cylinders
Circular Cylinder
Circular cylinders
Porous Media
Porous materials
Volume fraction
convection
Horizontal
Thermophoresis
Nanoparticles
Skin friction
Nusselt number
Buoyancy
Partial differential equations

Keywords

  • Boundary layer
  • Brinkman model
  • Horizontal circular cylinder
  • Mixed convection
  • Nanofluid
  • Porous medium

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Science(all)
  • Condensed Matter Physics
  • Modelling and Simulation
  • Biomedical Engineering

Cite this

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title = "Mixed convection boundary layer flow past a horizontal circular cylinder embedded in a porous medium saturated by a nanofluid: Brinkman model",
abstract = "In this paper, the steady mixed convection boundary layer flow past a horizontal circular cylinder with a constant surface temperature and embedded in a porous medium saturated by a nanofluid in a stream flowing vertically upward has been studied by the Brinkman model for both cases of a heated and cooled cylinder. The resulting system of nonlinear partial differential equations is solved numerically using an implicit finite-difference scheme. Numerical results are obtained and discussed for the skin friction coefficient, the local Nusselt number, and the local Sherwood number, as well as the velocity, temperature, and nanoparticle volume fraction profiles, for various values of the governing parameters, namely, the mixed convection parameter, Darcy-Brinkman parameter, Lewis number, Brownian number, buoyancy ratio parameter, and thermophoresis parameter. From this study, it is found that the nanoparticle volume fraction improved the fluid-flow and heat-transfer characteristics.",
keywords = "Boundary layer, Brinkman model, Horizontal circular cylinder, Mixed convection, Nanofluid, Porous medium",
author = "Leony Tham and {Mohd. Nazar}, Roslinda and Ioan Pop",
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TY - JOUR

T1 - Mixed convection boundary layer flow past a horizontal circular cylinder embedded in a porous medium saturated by a nanofluid

T2 - Brinkman model

AU - Tham, Leony

AU - Mohd. Nazar, Roslinda

AU - Pop, Ioan

PY - 2013

Y1 - 2013

N2 - In this paper, the steady mixed convection boundary layer flow past a horizontal circular cylinder with a constant surface temperature and embedded in a porous medium saturated by a nanofluid in a stream flowing vertically upward has been studied by the Brinkman model for both cases of a heated and cooled cylinder. The resulting system of nonlinear partial differential equations is solved numerically using an implicit finite-difference scheme. Numerical results are obtained and discussed for the skin friction coefficient, the local Nusselt number, and the local Sherwood number, as well as the velocity, temperature, and nanoparticle volume fraction profiles, for various values of the governing parameters, namely, the mixed convection parameter, Darcy-Brinkman parameter, Lewis number, Brownian number, buoyancy ratio parameter, and thermophoresis parameter. From this study, it is found that the nanoparticle volume fraction improved the fluid-flow and heat-transfer characteristics.

AB - In this paper, the steady mixed convection boundary layer flow past a horizontal circular cylinder with a constant surface temperature and embedded in a porous medium saturated by a nanofluid in a stream flowing vertically upward has been studied by the Brinkman model for both cases of a heated and cooled cylinder. The resulting system of nonlinear partial differential equations is solved numerically using an implicit finite-difference scheme. Numerical results are obtained and discussed for the skin friction coefficient, the local Nusselt number, and the local Sherwood number, as well as the velocity, temperature, and nanoparticle volume fraction profiles, for various values of the governing parameters, namely, the mixed convection parameter, Darcy-Brinkman parameter, Lewis number, Brownian number, buoyancy ratio parameter, and thermophoresis parameter. From this study, it is found that the nanoparticle volume fraction improved the fluid-flow and heat-transfer characteristics.

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KW - Brinkman model

KW - Horizontal circular cylinder

KW - Mixed convection

KW - Nanofluid

KW - Porous medium

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