The onset of double-diffusive nanofluid convection in a rotating porous medium layer with thermal conductivity and viscosity variation

A revised model

Dhananjay Yadav, Daehui Lee, Hyung Hee Cho, Jinho Lee

Research output: Contribution to journalArticle

46 Citations (Scopus)

Abstract

In this paper, the combined effect of thermal conductivity and viscosity variation with nanoparticle fraction on the onset of doublediffusive nanofluid convection in a rotating porous layer is studied based on a new set of boundary conditions for the nanoparticle fraction, which is physically more realistic. The boundary condition considers here that the nanoparticle flux is assumed to be zero on the boundaries. This shows that the nanoparticle fraction value at the boundary alters accordingly. In this way, the present model is more realistic physically than those previous studies. The model used for nanofluid combines the effects of Brownian motion and thermophoresis, while for porous medium the Darcy model is taken into account. Due to the Brownian motion, the nanoparticle volumetric fraction becomes stratified, and hence the thermal conductivity and the viscosity are stratified. The nanofluid is assumed to be dilute and this causes the porous medium to be treated as a weakly heterogeneous medium with variation in the vertical direction of conductivity and viscosity. In turn this permits an analytical solution to be obtained using a Galerkin method that gives the criterion for the onset of convection. Several results are obtained as limiting cases of the present study.

Original languageEnglish
Pages (from-to)31-46
Number of pages16
JournalJournal of Porous Media
Volume19
Issue number1
DOIs
Publication statusPublished - 2016 Jan 1

Fingerprint

Nanofluid
Thermal Conductivity
Porous Media
Nanoparticles
Convection
Porous materials
Thermal conductivity
Viscosity
Rotating
convection
thermal conductivity
viscosity
nanoparticles
Brownian movement
Brownian motion
Thermophoresis
Boundary conditions
boundary conditions
thermophoresis
Heterogeneous Media

All Science Journal Classification (ASJC) codes

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

Cite this

@article{f4dc3e77bf604f31960ee669865d3c5c,
title = "The onset of double-diffusive nanofluid convection in a rotating porous medium layer with thermal conductivity and viscosity variation: A revised model",
abstract = "In this paper, the combined effect of thermal conductivity and viscosity variation with nanoparticle fraction on the onset of doublediffusive nanofluid convection in a rotating porous layer is studied based on a new set of boundary conditions for the nanoparticle fraction, which is physically more realistic. The boundary condition considers here that the nanoparticle flux is assumed to be zero on the boundaries. This shows that the nanoparticle fraction value at the boundary alters accordingly. In this way, the present model is more realistic physically than those previous studies. The model used for nanofluid combines the effects of Brownian motion and thermophoresis, while for porous medium the Darcy model is taken into account. Due to the Brownian motion, the nanoparticle volumetric fraction becomes stratified, and hence the thermal conductivity and the viscosity are stratified. The nanofluid is assumed to be dilute and this causes the porous medium to be treated as a weakly heterogeneous medium with variation in the vertical direction of conductivity and viscosity. In turn this permits an analytical solution to be obtained using a Galerkin method that gives the criterion for the onset of convection. Several results are obtained as limiting cases of the present study.",
author = "Dhananjay Yadav and Daehui Lee and Cho, {Hyung Hee} and Jinho Lee",
year = "2016",
month = "1",
day = "1",
doi = "10.1615/JPorMedia.v19.i1.30",
language = "English",
volume = "19",
pages = "31--46",
journal = "Journal of Porous Media",
issn = "1091-028X",
publisher = "Begell House Inc.",
number = "1",

}

TY - JOUR

T1 - The onset of double-diffusive nanofluid convection in a rotating porous medium layer with thermal conductivity and viscosity variation

T2 - A revised model

AU - Yadav, Dhananjay

AU - Lee, Daehui

AU - Cho, Hyung Hee

AU - Lee, Jinho

PY - 2016/1/1

Y1 - 2016/1/1

N2 - In this paper, the combined effect of thermal conductivity and viscosity variation with nanoparticle fraction on the onset of doublediffusive nanofluid convection in a rotating porous layer is studied based on a new set of boundary conditions for the nanoparticle fraction, which is physically more realistic. The boundary condition considers here that the nanoparticle flux is assumed to be zero on the boundaries. This shows that the nanoparticle fraction value at the boundary alters accordingly. In this way, the present model is more realistic physically than those previous studies. The model used for nanofluid combines the effects of Brownian motion and thermophoresis, while for porous medium the Darcy model is taken into account. Due to the Brownian motion, the nanoparticle volumetric fraction becomes stratified, and hence the thermal conductivity and the viscosity are stratified. The nanofluid is assumed to be dilute and this causes the porous medium to be treated as a weakly heterogeneous medium with variation in the vertical direction of conductivity and viscosity. In turn this permits an analytical solution to be obtained using a Galerkin method that gives the criterion for the onset of convection. Several results are obtained as limiting cases of the present study.

AB - In this paper, the combined effect of thermal conductivity and viscosity variation with nanoparticle fraction on the onset of doublediffusive nanofluid convection in a rotating porous layer is studied based on a new set of boundary conditions for the nanoparticle fraction, which is physically more realistic. The boundary condition considers here that the nanoparticle flux is assumed to be zero on the boundaries. This shows that the nanoparticle fraction value at the boundary alters accordingly. In this way, the present model is more realistic physically than those previous studies. The model used for nanofluid combines the effects of Brownian motion and thermophoresis, while for porous medium the Darcy model is taken into account. Due to the Brownian motion, the nanoparticle volumetric fraction becomes stratified, and hence the thermal conductivity and the viscosity are stratified. The nanofluid is assumed to be dilute and this causes the porous medium to be treated as a weakly heterogeneous medium with variation in the vertical direction of conductivity and viscosity. In turn this permits an analytical solution to be obtained using a Galerkin method that gives the criterion for the onset of convection. Several results are obtained as limiting cases of the present study.

UR - http://www.scopus.com/inward/record.url?scp=84941779497&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84941779497&partnerID=8YFLogxK

U2 - 10.1615/JPorMedia.v19.i1.30

DO - 10.1615/JPorMedia.v19.i1.30

M3 - Article

VL - 19

SP - 31

EP - 46

JO - Journal of Porous Media

JF - Journal of Porous Media

SN - 1091-028X

IS - 1

ER -