Convective heat transfer in a lid-driven cavity with a heat-conducting solid backward step under the effect of buoyancy force

Nikita S. Gibanov, Mikhail A. Sheremet, Hakan F. Oztop, Khaled Al-Salem

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Mixed convection in a lid-driven cavity filled with an alumina-water nanofluid in the presence of a bottom heat-conducting solid backward step has been studied numerically. Mathematical model includes partial differential equations formulated on the basis of conservation laws for mass, momentum and energy using dimensionless variables such as stream function, vorticity and temperature, and corresponding boundary conditions. The boundary-value problem has been solved by finite difference method of the second order accuracy. The effects of Richardson number (Ri = 0.01–10.0), wall step height ratio (0.3⩽h2/L⩽0.7), distance ratio between left wall and wall step (0.3⩽l/L⩽0.7), thermal conductivity ratio (1.0 ≤ K ≤ 10.0), and nanoparticles volume fraction (0 ≤ ϕ ≤ 0.05) on streamlines and isotherms as well as average Nusselt number at moving hot wall and fluid flow rate have been analyzed for Reynolds number (Re = 100), Prandtl number (Pr = 6.82) and solid wall thickness ratio (h1/L=0.1). It has been found that sizes and thermal conductivity of a backward step can essentially modify the flow and heat transfer patterns with the process intensity.

Original languageEnglish
Pages (from-to)158-168
Number of pages11
JournalInternational Journal of Heat and Mass Transfer
Volume112
DOIs
Publication statusPublished - 1 Sep 2017

Fingerprint

convective heat transfer
Buoyancy
buoyancy
Thermal conductivity
Heat transfer
Wall flow
conduction
heat
Mixed convection
cavities
Aluminum Oxide
Prandtl number
Nusselt number
Vorticity
Finite difference method
Boundary value problems
Partial differential equations
Isotherms
Flow of fluids
Volume fraction

Keywords

  • Brownian motion effect
  • Heat-conducting backward step
  • Lid-driven cavity
  • Mixed convection
  • Nanofluid
  • Numerical results

ASJC Scopus subject areas

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

Cite this

Convective heat transfer in a lid-driven cavity with a heat-conducting solid backward step under the effect of buoyancy force. / Gibanov, Nikita S.; Sheremet, Mikhail A.; Oztop, Hakan F.; Al-Salem, Khaled.

In: International Journal of Heat and Mass Transfer, Vol. 112, 01.09.2017, p. 158-168.

Research output: Contribution to journalArticle

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