A comprehensive review on mixed convection for various patterns of kinematically and thermally induced scenarios within cavities

Abstract

Purpose The purpose of this paper is to address various works on mixed convection and proposes 10 unified models (Models 1–10) based on various thermal and kinematic conditions of the boundary walls, thermal conditions and/ or kinematics of objects embedded in the cavities and kinematics of external flow field through the ventilation ports. Experimental works on mixed convection have also been addressed. Design/methodology/approach This review is based on 10 unified models on mixed convection within cavities. Models 1–5 involve mixed convection based on the movement of single or double walls subjected to various temperature boundary conditions. Model 6 elucidates mixed convection due to the movement of single or double walls of cavities containing discrete heaters at the stationary wall(s). Model 7A focuses mixed convection based on the movement of wall(s) for cavities containing stationary solid obstacles (hot or cold or adiabatic) whereas Model 7B elucidates mixed convection based on the rotation of solid cylinders (hot or conductive or adiabatic) within the cavities enclosed by stationary or moving wall(s). Model 8 is based on mixed convection due to the flow of air through ventilation ports of cavities (with or without adiabatic baffles) subjected to hot and adiabatic walls. Models 9 and 10 elucidate mixed convection due to flow of air through ventilation ports of cavities involving discrete heaters and/or solid obstacles (conductive or hot) at various locations within cavities. Findings Mixed convection plays an important role for various processes based on convection pattern and heat transfer rate. An important dimensionless number, Richardson number (Ri) identifies various convection regimes (forced, mixed and natural convection). Generalized models also depict the role of “aiding” and “opposing” flow and combination of both on mixed convection processes. Aiding flow (interaction of buoyancy and inertial forces in the same direction) may result in the augmentation of the heat transfer rate whereas opposing flow (interaction of buoyancy and inertial forces in the opposite directions) may result in decrease of the heat transfer rate. Works involving fluid media, porous media and nanofluids (with magnetohydrodynamics) have been highlighted. Various numerical and experimental works on mixed convection have been elucidated. Flow and thermal maps associated with the heat transfer rate for a few representative cases of unified models [Models 1–10] have been elucidated involving specific dimensionless numbers. Originality/value This review paper will provide guidelines for optimal design/operation involving mixed convection processing applications.

Physical–numerical parameters in laminar simulations of natural convection on three-dimensional square plates

“…The state of the art of natural convection numerical studies, in the most diverse applications and methodologies of modeling and solution, is broadly represented by the references (Salari et al , 2017) in the three-dimensional study of turbulent/transitional natural convection with different turbulence/transition models in trapezoidal enclosures (Dash and Dash, 2020). In the analysis of conjugate heat transfer by natural convection and thermal radiation in a horizontal cylinder that is suspended in the air; (Lukose and Basak, 2020) in the study of natural convection through the Galerkin finite element method in nine different shapes of containers, with the same surface area and identical isothermal heat input at the bottom wall; (Henniche and Korichi, 2020) in the study and numerical simulation (using the software OpenFOAM®) of enhanced mixed convection heat transfer in a vertical channel with staggered inclined baffles; Raizah (2020) in the application of the ISPH method for the study of natural convection with copper-water nanofluid inside cavities with cross blades or circular cylinder cylinder; Alshomrani et al (2020) in the three-dimensional study of the influence of different locations of cooler and the tilting angles of a cavity on natural convection heat transfer in a laminar regime; Aghighi et al (2020) in obtaining solutions, through the Galerkin’s weighted residual finite element method, of the natural convection of Casson fluid in a square enclosure, under conditions of differentially heated side walls; Sasidharan and Dutta (2020) in the study of the thermal performance of a hybrid tubular and cavity solar thermal receiver; Ullah et al (2021) in the two-dimensional study of natural convection of micropolar nanofluid in a rectangular vertical container, heated on the lower wall to generate the internal flow; Lukose and Basak (2021) in the extensive literature review on the mixed convection and the proposition of 10 unified models in different physical–numerical conditions; and Nishad et al (2021) in the two-dimensional study of natural convection inside a wavy enclosure with Cu-water nanofluid under magnetic field and using the element-free Galerkin method (EFGM) with parallel algorithm.…”

Hybrid nanofluid magnetohydrodynamic mixed convection in a novel W-shaped porous system

“…However, the transport process under mixed convection is severely influenced by the geometric shape, bounding wall type and associated flow control parameters. In this context, comprehensive scrutiny of the various shaped cavities undergoing mixed convection has been reported by Lukose and Basak (2021). Depending on the practical relevance, there is a growing volume of research on non-square geometry like a trapezoidal, parallelogram, circular/elliptical or triangular cavity and others.…”

Thermal behavior of a conical antenna cooled with nanofluid saturated porous media: effects of the cavity’s inclination and aspect ratio

“…(2008), Sheremet et al (2017), Lukose and Basak (2021) and Sheikholeslami (2016). Several works have been carried out in this field by numerical and/or experimental approaches using various methods (Baïri, 2019).…”

“…The recent article (Alagumalai et al , 2022) presents an interesting analysis concerning the dissemination and generalization of these nanofluids. They are used in various engineering fields as presented in Abu-Nada et al (2008), Sheremet et al (2017), Lukose and Basak (2021) and Sheikholeslami (2016). Several works have been carried out in this field by numerical and/or experimental approaches using various methods (Baïri, 2019).…”