Free Convection in a Porous Enclosure by Virtue of Sinusoidal Heating and Cooling on Lateral Side: A Variable Periodicity Perspective

A numerical study has been made on free convection in the anisotropic porous enclosure. By nonuniform sinusoidal heating, flow is induced on the right side wall along with three adiabatic walls. The principal directions of the gravity vector have been taken obliquely to the permeability tensor. The...

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Bibliographic Details
Published in:Proceedings of the National Academy of Sciences, India, Section A, physical sciences India, Section A, physical sciences, 2023-12, Vol.93 (4), p.685-694
Main Authors: Kapoor, Saurabh, Manju, Kumari
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Boundary conditions
Convection cooling
Convection heating
Enclosures
Flow distribution
Free convection
Heat transfer
Molecular
Optical and Plasma Physics
Parameters
Permeability
Physics
Physics and Astronomy
Quantum Physics
Scientific Research Paper
Sine waves
Spectral element method
Tensors
Vorticity
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Summary:A numerical study has been made on free convection in the anisotropic porous enclosure. By nonuniform sinusoidal heating, flow is induced on the right side wall along with three adiabatic walls. The principal directions of the gravity vector have been taken obliquely to the permeability tensor. The performed study is conducted by using the Brinkman-extended non-Darcy model. The vorticity–streamfunction approach of the spectral element method is applied to solve the governing equations. The significance is specified on the impact of the periodicity parameter ( N ), local heat transfer rate (Nu y ) along with the flow mechanism in the enclosure with reference to orientation angle ( ϕ ), permeability ratio ( K ∗ ) and anisotropic parameters. The outcome for odd N shows that a particular heat transfer at y = 1.5 is pointed extreme. Additionally, the increase in the permeability media while switching K ∗ from 1 to 0.2 increases the heat transfer rate. This increment occurs at the right corner, below the enclosure’s right. Moreover, considering every N , the profiles of Nu y in both media (isotropic and anisotropic) are similar. However, it varies slightly for N = 2 . Remarkably, this analysis shows that the flow pattern has been affected by distinct N via boundary conditions of temperatures. Consequently, the local heat transfer phenomena have also been affected.
ISSN:0369-8203
2250-1762
DOI:10.1007/s40010-023-00833-z