Flow and heat transfer past a permeable nonlinearly stretching/shrinking sheet in a nanofluid

A revised model with stability analysis

Shah Jahan, Hamzah Sakidin, Roslinda Mohd. Nazar, Ioan Pop

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

This article presents a realistic approach for flow and heat transfer over a nonlinearly permeable stretching/shrinking sheet in a nanofluid. Practically, this approach is more acceptable as compared to the previous one where we have to assume the nanoparticle fraction control on boundaries. By doing this, nanoparticle flux is considered zero and nanoparticle fraction adjusts itself accordingly on the boundaries. Now the impact of Buongiorno's model can be applied in a more effective way. With this revised model, we have discussed the impact of numerous parameters on the skin friction coefficient, the local Nusselt number, and the velocity, temperature, and nanoparticle concentration profiles while finding dual solutions. To determine which solution is physically stable and realizable, we performed the stability analysis. Then the flow pattern is observed by drawing streamlines. It is observed that the first solution is stable and thus, physically realizable. The correlation based estimation for the local Nusselt number has also been carried out. The Brownian motion effect becomes negligible for the new revised model. It is found that the local Nusselt number is almost independent of the Brownian motion while the heat transfer rate reduces with the rise in Lewis number and thermophoresis parameter. For the impermeable case, the streamlines are similar to the normal stagnation point flow but the streamlines contract with the increase of suction parameter as the density of streamline increases and is proportional to the fluid velocity.

Original languageEnglish
Pages (from-to)211-221
Number of pages11
JournalJournal of Molecular Liquids
Volume233
DOIs
Publication statusPublished - 1 May 2017

Fingerprint

Stretching
Nusselt number
heat transfer
Nanoparticles
Heat transfer
nanoparticles
Brownian movement
Thermophoresis
thermophoresis
Lewis numbers
skin friction
stagnation point
Skin friction
suction
Flow patterns
coefficient of friction
flow distribution
Fluxes
Fluids
fluids

Keywords

  • Nanofluids
  • Numerical solution
  • Permeable stretching/shrinking sheet
  • Revised model
  • Unsteady flow

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Spectroscopy
  • Physical and Theoretical Chemistry
  • Materials Chemistry

Cite this

Flow and heat transfer past a permeable nonlinearly stretching/shrinking sheet in a nanofluid : A revised model with stability analysis. / Jahan, Shah; Sakidin, Hamzah; Mohd. Nazar, Roslinda; Pop, Ioan.

In: Journal of Molecular Liquids, Vol. 233, 01.05.2017, p. 211-221.

Research output: Contribution to journalArticle

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