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

Abstract

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.

Numerical heat flow visualization analysis on enhanced thermal processing for various shapes of containers during thermal convection

“…Natural convection occurs because of the motion and mixing of fluid, induced by the density variations based on the temperature difference within the fluid. Natural convection has been extensively studied in recent works because of its wide variety in various applications (Siddiqa et al , 2015; Shirvan et al , 2017a, 2017b; Rahman et al , 2017; Oztop et al , 2017; Biswal and Basak, 2017; Sheremet et al , 2018a; Sheremet and Pop, 2018; Gerdroodbary et al , 2018; Chen et al , 2018; Pichandi and Anbalagan, 2018; Revnic et al , 2018; Wang et al , 2018; Ismail et al , 2019; Wong et al , 2019). The fluid flow in natural convection is strongly dependent on the shapes of containers.…”

“…A number of earlier works were carried out on natural convection in rectangular and square containers to visualize the effects of thermal boundary conditions (Ostrach, 1988; Sarris et al , 2002; Deng et al , 2002; Basak et al , 2006; Al-Hazmy, 2006; Deng and Chang, 2008; Deng, 2008; Alam et al , 2012; Kaluri and Basak, 2013; Shirvan et al , 2017a; Sabour et al , 2017; Gibanov and Sheremet, 2017; Sheremet and Pop, 2018; Alsabery et al , 2018; Sheremet et al , 2018a; Miroshnichenko et al , 2018; Pichandi and Anbalagan, 2018). A few works are explained next.…”

“…It was found that heat transfer is mainly conduction dominant for higher values of radiation parameter. Later, Pichandi and Anbalagan (2018) studied the effects of phase change, amplitude ratio and periodicity parameter on the sinusoidal heating of the side walls. The horizontal walls were maintained adiabatic.…”

Lattice Boltzmann simulation for natural convection of supercritical CO2 in an inclined square cavity

“…Natural convection exists widely in engineering fields, such as solar collectors, building insulation, insulating glass windows, heat dissipation of electronic components and heat dissipation from nuclear reactors. Because of the complicated mechanism and multiple influence factors, flow and heat transfer of natural convection in a closed cavity has gained the attention of researchers at home and abroad (Sun et al , 1983; Xie et al , 2016; Pichandi and Anbalagan, 2018; Górecki and Szumbarski, 2014).…”

Lubrication mechanism in gearbox of high-speed railway trains

“…The numerical model and the SPH method were validated by comparing the numerical results with the experimental data. Pichandi and Anbalagan (2018) proposed an effective numerical approach for solving the natural convection in a 2D square enclosure based on LBM. The simulation results depicted the natural convection heat transfer and fluid flow behavior in a 2D square enclosure mounted with various sizes of blockage ratios and imposed sinusoidal wave on both vertical walls.…”