Effect of thermal dispersion on transient natural convection in a wavy-walled porous cavity filled with a nanofluid

Tiwari and Das' nanofluid model

M. A. Sheremet, I. Pop, N. Bachok

Research output: Contribution to journalArticle

51 Citations (Scopus)

Abstract

Transient natural convection in a porous wavy-walled cavity filled with a nanofluid has been studied numerically. The domain of interest is bounded by vertical flat and horizontal wavy walls having constant temperatures. The unsteady governing equations formulated in dimensionless stream function and temperature, within the Darcy-Boussinesq approximation and the mathematical nanofluid model proposed by Tiwari and Das in the presence of thermal dispersion with corresponding initial and boundary conditions have been solved numerically using an iterative implicit finite-difference method. The main objective is to investigate the effect of the dimensionless time, thermal dispersion parameter and solid volume fraction parameter of nanoparticles on the fluid flow and heat transfer characteristics. Results are presented in the form of streamlines, isotherms and distributions of the average Nusselt number at the bottom wavy wall.

Original languageEnglish
Pages (from-to)1053-1060
Number of pages8
JournalInternational Journal of Heat and Mass Transfer
Volume92
DOIs
Publication statusPublished - 1 Jan 2016

Fingerprint

Natural convection
free convection
Boussinesq approximation
cavities
Nusselt number
Finite difference method
fluid flow
Isotherms
Flow of fluids
Volume fraction
mathematical models
isotherms
heat transfer
Boundary conditions
Mathematical models
boundary conditions
Nanoparticles
Heat transfer
nanoparticles
Temperature

Keywords

  • Nanofluid
  • Numerical results
  • Porous cavity
  • Thermal dispersion
  • Wavy wall

ASJC Scopus subject areas

  • Mechanical Engineering
  • Condensed Matter Physics
  • Fluid Flow and Transfer Processes

Cite this

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AU - Pop, I.

AU - Bachok, N.

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AB - Transient natural convection in a porous wavy-walled cavity filled with a nanofluid has been studied numerically. The domain of interest is bounded by vertical flat and horizontal wavy walls having constant temperatures. The unsteady governing equations formulated in dimensionless stream function and temperature, within the Darcy-Boussinesq approximation and the mathematical nanofluid model proposed by Tiwari and Das in the presence of thermal dispersion with corresponding initial and boundary conditions have been solved numerically using an iterative implicit finite-difference method. The main objective is to investigate the effect of the dimensionless time, thermal dispersion parameter and solid volume fraction parameter of nanoparticles on the fluid flow and heat transfer characteristics. Results are presented in the form of streamlines, isotherms and distributions of the average Nusselt number at the bottom wavy wall.

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