Mixed convection in a lid-driven square cavity filled by a nanofluid

Buongiorno's mathematical model

Research output: Contribution to journalArticle

68 Citations (Scopus)

Abstract

Abstract teady laminar mixed convection inside a lid-driven square cavity filled with water based nanofluid is studied numerically. The cavity is subjected to the moving upper and lower walls. The top and bottom moving walls are maintained at constant temperatures and nanoparticle volume fractions. The vertical walls of the cavity are thermally insulated. The appliance of the numerical analysis was finite difference method with upwind scheme treatments of the convective terms included in the momentum and energy equations. The governing parameters are the Reynolds, Grashof, Prandtl and Lewis numbers along with the buoyancy-ratio, the Brownian motion, the thermophoresis and the moving parameters. The effects of these parameters on the local Nusselt, local Sherwood, the mean Nusselt and Sherwood numbers, as well as on the developments of streamlines, isotherms and isoconcentrations have been analyzed. The results have shown that these parameters have substantial effects on the flow and heat transfer characteristics. The comparison with known results from the open literature shows excellent agreement.

Original languageEnglish
Article number21266
Pages (from-to)792-808
Number of pages17
JournalApplied Mathematics and Computation
Volume266
DOIs
Publication statusPublished - 22 Jun 2015

Fingerprint

Thermophoresis
Nanofluid
Mixed Convection
Mixed convection
Brownian movement
Buoyancy
Finite difference method
Isotherms
Numerical analysis
Volume fraction
Momentum
Cavity
Mathematical Model
Mathematical models
Nanoparticles
Heat transfer
Water
Temperature
Upwind Scheme
Streamlines

Keywords

  • Cavity
  • Lid-driven
  • Mixed convection
  • Numerical results

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

Cite this

Mixed convection in a lid-driven square cavity filled by a nanofluid : Buongiorno's mathematical model. / Sheremet, M. A.; Pop, I.

In: Applied Mathematics and Computation, Vol. 266, 21266, 22.06.2015, p. 792-808.

Research output: Contribution to journalArticle

@article{a4bb610735cf4225b070fdfcbec67b33,
title = "Mixed convection in a lid-driven square cavity filled by a nanofluid: Buongiorno's mathematical model",
abstract = "Abstract teady laminar mixed convection inside a lid-driven square cavity filled with water based nanofluid is studied numerically. The cavity is subjected to the moving upper and lower walls. The top and bottom moving walls are maintained at constant temperatures and nanoparticle volume fractions. The vertical walls of the cavity are thermally insulated. The appliance of the numerical analysis was finite difference method with upwind scheme treatments of the convective terms included in the momentum and energy equations. The governing parameters are the Reynolds, Grashof, Prandtl and Lewis numbers along with the buoyancy-ratio, the Brownian motion, the thermophoresis and the moving parameters. The effects of these parameters on the local Nusselt, local Sherwood, the mean Nusselt and Sherwood numbers, as well as on the developments of streamlines, isotherms and isoconcentrations have been analyzed. The results have shown that these parameters have substantial effects on the flow and heat transfer characteristics. The comparison with known results from the open literature shows excellent agreement.",
keywords = "Cavity, Lid-driven, Mixed convection, Numerical results",
author = "Sheremet, {M. A.} and I. Pop",
year = "2015",
month = "6",
day = "22",
doi = "10.1016/j.amc.2015.05.145",
language = "English",
volume = "266",
pages = "792--808",
journal = "Applied Mathematics and Computation",
issn = "0096-3003",
publisher = "Elsevier Inc.",

}

TY - JOUR

T1 - Mixed convection in a lid-driven square cavity filled by a nanofluid

T2 - Buongiorno's mathematical model

AU - Sheremet, M. A.

AU - Pop, I.

PY - 2015/6/22

Y1 - 2015/6/22

N2 - Abstract teady laminar mixed convection inside a lid-driven square cavity filled with water based nanofluid is studied numerically. The cavity is subjected to the moving upper and lower walls. The top and bottom moving walls are maintained at constant temperatures and nanoparticle volume fractions. The vertical walls of the cavity are thermally insulated. The appliance of the numerical analysis was finite difference method with upwind scheme treatments of the convective terms included in the momentum and energy equations. The governing parameters are the Reynolds, Grashof, Prandtl and Lewis numbers along with the buoyancy-ratio, the Brownian motion, the thermophoresis and the moving parameters. The effects of these parameters on the local Nusselt, local Sherwood, the mean Nusselt and Sherwood numbers, as well as on the developments of streamlines, isotherms and isoconcentrations have been analyzed. The results have shown that these parameters have substantial effects on the flow and heat transfer characteristics. The comparison with known results from the open literature shows excellent agreement.

AB - Abstract teady laminar mixed convection inside a lid-driven square cavity filled with water based nanofluid is studied numerically. The cavity is subjected to the moving upper and lower walls. The top and bottom moving walls are maintained at constant temperatures and nanoparticle volume fractions. The vertical walls of the cavity are thermally insulated. The appliance of the numerical analysis was finite difference method with upwind scheme treatments of the convective terms included in the momentum and energy equations. The governing parameters are the Reynolds, Grashof, Prandtl and Lewis numbers along with the buoyancy-ratio, the Brownian motion, the thermophoresis and the moving parameters. The effects of these parameters on the local Nusselt, local Sherwood, the mean Nusselt and Sherwood numbers, as well as on the developments of streamlines, isotherms and isoconcentrations have been analyzed. The results have shown that these parameters have substantial effects on the flow and heat transfer characteristics. The comparison with known results from the open literature shows excellent agreement.

KW - Cavity

KW - Lid-driven

KW - Mixed convection

KW - Numerical results

UR - http://www.scopus.com/inward/record.url?scp=84935000320&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84935000320&partnerID=8YFLogxK

U2 - 10.1016/j.amc.2015.05.145

DO - 10.1016/j.amc.2015.05.145

M3 - Article

VL - 266

SP - 792

EP - 808

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

M1 - 21266

ER -