Non-Isobaric Marangoni boundary layer flow for Cu, Al2O 3 and TiO2 nanoparticles in a water based fluid

N. M. Arifin, Roslinda Mohd. Nazar, I. Pop

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

In this paper, a non-isobaric Marangoni boundary layer flow that can be formed along the interface of immiscible nanofluids in surface driven flows due to an imposed temperature gradient, is considered. The solution is determined using a similarity solution for both the momentum and energy equations and assuming developing boundary layer flow along the interface of the immiscible nanofluids. The resulting system of nonlinear ordinary differential equations is solved numerically using the shooting method along with the Runge-Kutta-Fehlberg method. Numerical results are obtained for the interface velocity, the surface temperature gradient as well as the velocity and temperature profiles for some values of the governing parameters, namely the nanoparticle volume fraction ω (0 ≤ ω ≤ 0.2) and the constant exponent β. Three different types of nanoparticles, namely Cu, Al 2O3 and TiO2 are considered by using water-based fluid with Prandtl number Pr = 6.2. It was found that nanoparticles with low thermal conductivity, TiO2, have better enhancement on heat transfer compared to Al2O3 and Cu. The results also indicate that dual solutions exist when β <0.5. The paper complements also the work by Golia and Viviani (Meccanica 21:200-204, 1986) concerning the dual solutions in the case of adverse pressure gradient.

Original languageEnglish
Pages (from-to)833-843
Number of pages11
JournalMeccanica
Volume46
Issue number4
DOIs
Publication statusPublished - Aug 2011

Fingerprint

boundary layer flow
Boundary layer flow
Nanoparticles
Thermal gradients
nanoparticles
Fluids
fluids
temperature gradients
water
Water
Runge-Kutta method
Runge Kutta methods
Prandtl number
Pressure gradient
pressure gradients
Ordinary differential equations
complement
temperature profiles
surface temperature
Volume fraction

Keywords

  • Dual solutions
  • Marangoni boundary layer
  • Nanofluid
  • Numerical solutions

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

Cite this

Non-Isobaric Marangoni boundary layer flow for Cu, Al2O 3 and TiO2 nanoparticles in a water based fluid. / Arifin, N. M.; Mohd. Nazar, Roslinda; Pop, I.

In: Meccanica, Vol. 46, No. 4, 08.2011, p. 833-843.

Research output: Contribution to journalArticle

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