Effects of corrugation frequency and aspect ratio on natural convection within an enclosure having sinusoidal corrugation over a heated top surface

Hasan, Mahmud; Saha, Sumon; Saha, Suvash C.

doi:10.1016/j.icheatmasstransfer.2012.01.003

Cited by 22 publications

(10 citation statements)

References 31 publications

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“…Natural convection heat transfer in corrugated or wavy enclosures is gaining attention of most of the researchers for enhancing the efficiency of heat and mass transfer. Over the last few years, natural convection in wavy enclosures have been carried out by various researchers ( [29,30,31,32,33,34]). Although, double-diffusive natural convection has obtained less attention in complex enclosures, it has significant applications in various engineering fields such as solidification in material processing, chemical engineering, food industries, cement manufacturing.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of MHD double diffusive natural convection and entropy generation in a wavy enclosure filled with nanofluid with discrete heating

Parveen

Mahapatra

2019

Heliyon

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A numerical investigation of entropy generation, heat and mass transfer is performed on steady double diffusive natural convection of water-based Al2O3 nanofluid within a wavy-walled cavity with a center heater under the influence of an uniform vertical magnetic field. The top horizontal wavy wall, left and right vertical walls of the enclosure are kept at low temperature and concentration of Tc and cc whereas central part of the bottom horizontal wall is maintained at high temperature and concentration of Th and ch and the remaining part is kept adiabatic where temperature and concentration gradient are taken as zero. The Bi-CGStab method and Tri-diagonal algorithm are used to solve the governing equations. The study has been performed for several relevant parameters such as Rayleigh number (103≤Ra≤105), Hartmann number (0≤Ha≤60), buoyancy ratio number (badbreakafter−2≤N≤2), volume fraction of nanoparticles (0.0≤ϕ≤0.2) and different undulation number of the upper wavy wall (n). The Prandtl number and Lewis number are kept fixed at Prgoodbreakafter=6.2 and Legoodbreakafter=2. The effect of these parameters are revealed in terms of streamlines, isotherms, isoconcentrations, entropy generation, average Nusselt number and Sherwood number. Results indicate that heat and mass transfer rate augment as Rayleigh number and volume fraction of nanoparticles increase and are found to drop with the increase in Hartmann number and buoyancy ratio.

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Section: Introductionmentioning

confidence: 99%

Numerical simulation of MHD double diffusive natural convection and entropy generation in a wavy enclosure filled with nanofluid with discrete heating

Parveen

Mahapatra

2019

Heliyon

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“…The study of natural convection for relatively simple corrugated surfaces, such as vee corrugation [35][36][37][38], has always received greater focus compared to relatively complex corrugations such as sinusoidal corrugation. Hasan et al [39][40][41] performed some investigations for enclosures with sinusoidal corrugated top surface. Some investigations on natural convection for sinusoidal corrugation have been reported [42][43][44][45][46].…”

Section: Introductionmentioning

confidence: 99%

Unsteady natural convection within a differentially heated enclosure of sinusoidal corrugated side walls

Hasan

Saha

2012

International Journal of Heat and Mass Transfer

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a b s t r a c tNumerically investigation of natural convection within a differentially heated modified square enclosure with sinusoidally corrugated side walls has been performed for different values of Rayleigh number. The fluid inside the enclosure considered is air and is quiescent, initially. The top and bottom surfaces are flat and considered as adiabatic. Results reveal three main stages: an initial stage, a transitory or oscillatory stage and a steady stage for the development of natural convection flow inside the corrugated cavity. The numerical scheme is based on the finite element method adapted to triangular non-uniform mesh element by a non-linear parametric solution algorithm. Investigation has been performed for the Rayleigh number, Ra ranging from 10 5 to 10 8 with variation of corrugation amplitude and frequency. Constant physical properties for the fluid medium have been assumed except for the density where Boussinesq's approximation has been considered. Results have been presented in terms of the isotherms, streamlines, temperature plots, average Nusselt numbers, traveling waves and thermal boundary layer thickness plots, temperature and velocity profiles. The effects of sudden differential heating and its consequent transient behavior on fluid flow and heat transfer characteristics have been observed for the range of governing parameters. The present results show that the transient phenomena are greatly influenced by the variation of the Rayleigh number with corrugation amplitude and frequency.

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“…They found that local heat transfer rate increases when the height of enclosure is increased, and when the periodicity parameter (N) is increased, the function of the periodicity [sin (2p x)] decreased. Hasan et al (2012) presented the modified square enclosure with a sinusoidal corrugated top surface with the range of various Ra and aspect ratio using FVM approach. Authors found that the increase in Ra and aspect ratio, the average Nusselt number and fluid temperature is found to decrease and the heat transfer rate is excellent when increasing the aspect ratio from 0.5 to 1.0.…”

Section: Introductionmentioning

confidence: 99%

Natural convection heat transfer and fluid flow analysis in a 2D square enclosure with sinusoidal wave and different convection mechanism

Pichandi

Satheesh

2018

HFF

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Purpose The purpose of this paper is to propose an effective numerical approach for solving the natural convection in a two-dimensional square enclosure by using the single relaxation time-Bhatnagar, Gross and Krook (SRT-BGK) model (D2Q9) and lattice Boltzmann method (LBM). Design/methodology/approach Navier–Stroke equation is replaced by lattice Boltzmann method, and the numerical approach was simulated using LBM. LBM is a linear equation so, it reduces the computational time. The governing equations are solved using the SRT-BGK model. To achieve better numerical stability and accuracy, the momentum and energy equations are solved using two-dimensional nine-directional (D2Q9) lattice arrangement. Findings The results are presented at different convection mechanism with constant Prandtl number = 0.71, and the result is validated with reported literature. Numerical investigation is performed and accurate results are obtained; the range of Pr = 0.71, various Rayleigh number, phase change, periodicity parameter and amplitude ratio with three different blockage ratios. The present study is performed using LBM. Research limitations/implications To extend this work, the influence of natural convection, various selections of Prandtl number and Rayleigh number, periodicity and the effect of aspect ratio with mounted number of blockages could be included. Practical implications This research article will be useful for the study of fluid flow and heat transfer in hot and cold fluid interaction over the solid object. Like gear hardening with various sizes of gear blocks, material processing with hot and cold fluid interactions inside the furnace wall, solar panels high and low density fluid variation, indoor hot and cold fluid thermal environments, inside nuclear reactors heat and heavy water fluid interaction, cooling of electronic equipments and various chemical engineering applications. Social implications This paper will be useful for studying fluid flow and heat transfer within a square enclosure, and it gives practical information in engineering and heat transfer applications. Originality/value The present work is the first to investigate using LBM for selected parameters to apply a natural convection with imposed sinusoidal wave for different convection mechanisms.

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Effects of corrugation frequency and aspect ratio on natural convection within an enclosure having sinusoidal corrugation over a heated top surface

Cited by 22 publications

References 31 publications

Numerical simulation of MHD double diffusive natural convection and entropy generation in a wavy enclosure filled with nanofluid with discrete heating

Numerical simulation of MHD double diffusive natural convection and entropy generation in a wavy enclosure filled with nanofluid with discrete heating

Unsteady natural convection within a differentially heated enclosure of sinusoidal corrugated side walls

Natural convection heat transfer and fluid flow analysis in a 2D square enclosure with sinusoidal wave and different convection mechanism

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