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Influence of the Periodicity of Sinusoidal Boundary Condition on the Unsteady Mixed Convection within a Square Enclosure Using an Ag–Water Nanofluid

Author

Listed:
  • Azharul Karim

    (Science and Engineering Faculty, Queensland University of Technology, Brisbane 4001, Australia)

  • M. Masum Billah

    (Department of Arts and Sciences, Ahsanullah University of Science and Technology, Dhaka 1208, Bangladesh)

  • M. T. Talukder Newton

    (Department of Arts and Sciences, Ahsanullah University of Science and Technology, Dhaka 1208, Bangladesh)

  • M. Mustafizur Rahman

    (Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka 1000, Bangladesh)

Abstract

A numerical study of the unsteady mixed convection heat transfer characteristics of an Ag–water nanofluid confined within a square shape lid-driven cavity has been carried out. The Galerkin weighted residual of the finite element method has been employed to investigate the effects of the periodicity of sinusoidal boundary condition for a wide range of Grashof numbers ( Gr ) (10 5 to 10 7 ) with the parametric variation of sinusoidal even and odd frequency, N , from 1 to 6 at different instants (for τ = 0.1 and 1). It has been observed that both the Grashof number and the sinusoidal even and odd frequency have a significant influence on the streamlines and isotherms inside the cavity. The heat transfer rate enhanced by 90% from the heated surface as the Grashof number ( Gr ) increased from 10 5 to 10 7 at sinusoidal frequency N = 1 and τ = 1.

Suggested Citation

  • Azharul Karim & M. Masum Billah & M. T. Talukder Newton & M. Mustafizur Rahman, 2017. "Influence of the Periodicity of Sinusoidal Boundary Condition on the Unsteady Mixed Convection within a Square Enclosure Using an Ag–Water Nanofluid," Energies, MDPI, vol. 10(12), pages 1-21, December.
    • Handle: RePEc:gam:jeners:v:10:y:2017:i:12:p:2167-:d:123393
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