Buoyant Marangoni convection of nanofluids in square cavity

H. Saleh, Ishak Hashim

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The buoyant Marangoni convection heat transfer in a differentially heated cavity is numerically studied. The cavity is filled with water-Ag, water-Cu, water-Al<inf>2</inf>O<inf>3</inf>, and water-TiO<inf>2</inf> nanofluids. The governing equations are based on the equations involving the stream function, vorticity, and temperature. The dimensionless forms of the governing equations are solved by the finite difference (FD) scheme consisting of the alternating direction implicit (ADI) method and the tri-diagonal matrix algorithm (TDMA). It is found that the increase in the nanoparticle concentration leads to the decrease in the flow rates in the secondary cells when the convective thermocapillary and the buoyancy force have similar strength. A critical Marangoni number exists, below which increasing the Marangoni number decreases the average Nusselt number, and above which increasing the Marangoni number increases the average Nusselt number. The nanoparticles play a crucial role in the critical Marangoni number.

Original languageEnglish
Pages (from-to)1169-1184
Number of pages16
JournalApplied Mathematics and Mechanics (English Edition)
Volume36
Issue number9
DOIs
Publication statusPublished - 22 Jul 2015

Fingerprint

Marangoni Convection
Nanofluid
Cavity
Water
Nusselt number
Nanoparticles
Governing equation
Alternating Direction Implicit Method
Heat convection
Decrease
TiO2
Stream Function
Tridiagonal matrix
Buoyancy
Vorticity
Finite Difference Scheme
Dimensionless
Flow Rate
Heat Transfer
Flow rate

Keywords

  • finite difference method
  • Marangoni convection
  • nanofluid

ASJC Scopus subject areas

  • Applied Mathematics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Buoyant Marangoni convection of nanofluids in square cavity. / Saleh, H.; Hashim, Ishak.

In: Applied Mathematics and Mechanics (English Edition), Vol. 36, No. 9, 22.07.2015, p. 1169-1184.

Research output: Contribution to journalArticle

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