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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

Azharul Karim, M. Masum Billah, M. T. Talukder Newton and M. Mustafizur Rahman
Additional contact information
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

Energies, 2017, vol. 10, issue 12, 1-21

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 ? = 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 ? = 1.

Keywords: Ag–water nanofluids; unsteady mixed convection; solid volume fraction; sinusoidal frequency; finite element method (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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