A Study on Natural Convection of Air in a Square Cavity with Partially Thermally Active Side Walls

Kane, Mame Khady; Mbow, Cheikh; Sow, M. L.; Sarr, Joseph

doi:10.4236/ojfd.2017.74041

Cited by 12 publications

(14 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The outcomes are presented for Rayleigh number = Ra t o 10 10 , 3 5 Prandtl number = Pr 6.5, Darcy number = -Da 10 4 to -10 2 and length of each heated rod = Lt 0.2 to 0.5. Numerical investigation is executed to find the impact of these parameters on flow fields and thermal distributions as presented in figures (3)- (11).…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Impact of uniform and non-uniform heated rods on free convective flow inside a porous enclosure: finite element analysis

et al. 2021

View full text Add to dashboard Cite

A numerical study of laminar natural convective flow in a porous rectangular cavity having two heated rods is performed in this article. Both heated rods are placed in the middle of the cavity. Further, it is assumed that the flow and isothermal contours are influenced by permeable medium. Physical laws transform this physical setup into the mathematical form, which is expressed as partial differential equation. Finite element method is adopted to get the solution of these partial differential equations, the results against various flow controlling variables are presented in contour plots and line graphs. Results illustrate that in the case of non-uniform heating, the heat transfer rate is suppressed with the enhancement Rayleigh parameter as compared to uniform heating. In addition, with the increase in heated length of rods, flow field gets stronger due to stronger buoyancy effects. Moreover, the velocity distribution and Nusselt number are enhanced with the rise of permeability of porous medium.

show abstract

Section: Resultsmentioning

confidence: 99%

“…Rostami et al [10] numerically and experimentally reviewed the free convection in different shaped enclosures. Kane et al [11] considered natural convective flow in a partially heated enclosure. Basak et al [12] observed the influence of uniform and non-uniform thermal conditions in an isosceles triangular cavity.…”

Section: Introductionmentioning

confidence: 99%

Impact of uniform and non-uniform heated rods on free convective flow inside a porous enclosure: finite element analysis

et al. 2021

View full text Add to dashboard Cite

show abstract

“…A similar analysis has been conducted by Valencia and Frederick 17 with partially active walls. The role of partially heated verticals on heat transfer in air of square enclosure has been reported by Kane et al 18 Recent studies of natural or mixed convection in a square cavity filled with different fluids and with different supplementary effects (eg, magnetic body forces, lid‐driven boundary, etc) have been presented in References 19–25 …”

Section: Introductionmentioning

confidence: 92%

Simulation of unsteady natural convection flow of a Casson viscoplastic fluid in a square enclosure utilizing a MAC algorithm

Devi

Lakshmi

Venkatadri³

et al. 2020

Heat Trans

View full text Add to dashboard Cite

Non-Newtonian fluids are increasingly being deployed in energy systems and materials processing. Motivated by these developments, in the current study, a numerical simulation is performed on twodimensional, unsteady buoyancy-driven flow in a square cavity filled with non-Newtonian fluid (Casson liquid). The enclosure geometry features vertical isothermal walls (with one at higher temperature than the other) and thermally insulated horizontal walls. The conservation equations for mass, momentum, and energy are normalized via appropriate transformations and the resulting dimensionless partial differential boundary value problem is solved computationally with a marker and cell algorithm, which features a finite difference scheme along with a staggered grid system. The projection method is employed to evaluate the pressure term. Extensive visualizations of the impact of emerging physical parameters (Rayleigh number and Casson viscoplastic parameter) on streamline and isotherm distributions in the cavity are presented for fixed Prandtl number. Nusselt number, that is, heat transfer rate, is increased with rising values of the Casson viscoplastic fluid parameter for any value of Rayleigh number. The density of streamlines increases with increasing values of Casson viscoplastic fluid parameter upto 1. Overall, the Casson fluid parameter plays a vital role in controlling the convective heat transfer within the enclosure. The computations are relevant to hybrid solar collectors, materials fabrication (polymer melts), etc. K E Y W O R D S finite difference scheme, flow visualization, free convection, isotherms, non-Newtonian (Casson) fluid, projection method, square enclosure, unsteady flow

show abstract

“…Reference [2] studied natural convection of air in a square cavity with partially thermally active side walls. The behavior of boundary layers at variable Rayleigh numbers was analyzed.…”

Section: A Review Of Previous Related Studiesmentioning

confidence: 99%

Numerical Investigation of the Performance of Linear Interpolation Schemes Coupled Finite Volume Method in the Analysis of Confined Convection-Diffusion Turbulent Flow Field

Gatwiri

Karanja

Theuri

2021

EJMATH

View full text Add to dashboard Cite

Numerical solutions are never exact due to errors emanating from the scheme used in discretizing the governing equations and the flow domain. For convection-diffusion flow, the magnitude of these errors varies depending on the scheme used to interpolate the nodal values of the flow quantities to the interfaces. An interpolation scheme that minimizes these errors would give results that are consistent to experimental results. This paper documents the performance of three linear interpolation schemes; upwind differencing, central differencing scheme and the hybrid scheme in obtaining temperature profiles for a convection-diffusion turbulent flow field. To eliminate the enormous scales inherent in turbulent flow, the field variables present in the governing equations are decomposed into a mean and a fluctuating component and averaged. The closure problem was solved using the turbulence model. The resulting equations are discretized using the robust finite volume discretization technique. The discretized equations are solved using a segregated pressure-based algorithm. The results revealed that the central difference interpolation scheme generate temperature profiles that were consistent with experimental results of Ampofo and Karayiannis, (2003).

show abstract

A Study on Natural Convection of Air in a Square Cavity with Partially Thermally Active Side Walls

Cited by 12 publications

References 19 publications

Impact of uniform and non-uniform heated rods on free convective flow inside a porous enclosure: finite element analysis

Impact of uniform and non-uniform heated rods on free convective flow inside a porous enclosure: finite element analysis

Simulation of unsteady natural convection flow of a Casson viscoplastic fluid in a square enclosure utilizing a MAC algorithm

Numerical Investigation of the Performance of Linear Interpolation Schemes Coupled Finite Volume Method in the Analysis of Confined Convection-Diffusion Turbulent Flow Field

Contact Info

Product

Resources

About