g-Jitter Free Convection Flow of Nanofluid in The Three-Dimensional Stagnation Point Region

Authors

  • Mohamad Hidayad Ahmad Kamal Department of Mathematical Sciences, Universiti Teknologi Malaysia 81310 UTM Johor Bahru, Malaysia
  • Anati Ali Department of Mathematical Sciences, Universiti Teknologi Malaysia 81310 UTM Johor Bahru, Malaysia
  • Sharidan Shafie Department of Mathematical Sciences, Universiti Teknologi Malaysia 81310 UTM Johor Bahru, Malaysia

DOI:

https://doi.org/10.11113/matematika.v35.n2.1116

Abstract

The three dimensional free convection boundary layer flow near a stagnation point region is embedded in viscous nanofluid with the effect of g-jitter is studied in this paper. Copper (Cu) and aluminium oxide (Al2O3) types of water base nanofluid are cho- sen with the constant Prandtl number, Pr=6.2. Based on Tiwari-Das nanofluid model, the boundary layer equation used is converted into a non-dimensional form by adopting non- dimensional variables and is solved numerically by engaging an implicit finite-difference scheme known as Keller-box method. Behaviors of fluid flow such as skin friction and Nusset number are studied by the controlled parameters including oscillation frequency, amplitude of gravity modulation and nanoparticles volume fraction. The reduced skin friction and Nusset number are presented graphically and discussed for different values of principal curvatures ratio at the nodal point. The numerical results shows that, in- crement occurs in the values of Nusset number with the presence of solid nanoparticles together with the values of the skin friction. It is worth mentioning that for the plane stagnation point there is an absence of reduced skin friction along the y-direction where as for axisymmetric stagnation point, the reduced skin friction for both directions are the same. As nanoparticles volume fraction increased, the skin friction increased as well as the Nusset number. The results, indicated that skin frictions of copper are found higher than aluminium oxide.

Author Biography

Mohamad Hidayad Ahmad Kamal, Department of Mathematical Sciences, Universiti Teknologi Malaysia 81310 UTM Johor Bahru, Malaysia

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Published

2019-07-31

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