Skip to content
Research Article Open access CC BY 4.0

Numerical Study of Natural Solutal Convection in an Isoscele Trapezoidal Cavity

Gagnon Koffi Apédanou, Kokou N’wuitcha, Yendoubé Laré, Kossi Napo

Asian Journal of Physical and Chemical Sciences · pp. 69–87 · Published 31 Dec 2022

10.9734/ajopacs/2022/v10i4190

Abstract

A numerical study of the natural heat and mass transfer in a cavity with a straight isoscele cross-section containing air is made in this paper. The two inclined side walls are kept in natural convection with the surrounding environment. The upper horizontal wall is subjected to a heat flux of constant density, while the lower one is adiabatic. Under the Boussinesq assumption, the thermodynamic conditions are numerically studied using the unsteady convection equations formulated as a secondary variable of vorticity and a stream function, energy and moisture. The system of equations discretised by the implicit finite difference method is solved by the Thomas algorithm. The results show a flow structure, isotherms and isohumidities dependent on the study parameters. Thus, on one hand, an increase in the inclination angle of the walls is accompanied by an increase in the velocity of the fluid. On the other hand, an increase in the aspect ratio or Lewis number leads to a decrease in the fluid’s velocity. The average Nusselt number, which is independent of the Rayleigh number, increases slightly as the inclination angle of the walls decreases. The increase of the Lewis number results in the decrease of the flow velocity components values. It is observed that the maxima values of velocity components were reached for Rayleigh number equal to 7.103.

Natural convection isoscele trapezoidal cavity Boussinesq approximation critical Rayleigh Nusselt number Lewis number

References (21)

  1. 1 Influence of partially known parameter on flaw characterization in Eddy Current Testing by using a random walk MCMC method based on metamodeling [DOI]
  2. 2 MHD natural convection and entropy generation in a trapezoidal enclosure using Cu–water nanofluid [DOI]
  3. 3 Natural convection in a trapezoidal enclosure filled with carbon nanotube–EG–water nanofluid [DOI]
  4. 4 A Review on the Control Parameters of Natural Convection in Different Shaped Cavities with and without Nanofluid [DOI]
  5. 5 Natural convection and entropy generation of a nanoliquid in a crown wavy cavity: Effect of thermo-physical parameters and cavity shape [DOI]
  6. 6 MIXED CONVECTION IN CAVITIES WITH A LOCALLY HEATED LOWER WALL AND MOVING SIDEWALLS [DOI]
  7. 7 LAMINAR NATURAL CONVECTION FLOW IN TRAPEZOIDAL ENCLOSURES [DOI]
  8. 8 Numerical simulation of thermal radiation influence on natural convection in a trapezoidal enclosure: Heat flow visualization through energy flux vectors [DOI]
  9. 9 Numerical Analysis of Natural Convection Driven Flow of a Non-Newtonian Power-Law Fluid in a Trapezoidal Enclosure with a U-Shaped Constructal [DOI]
  10. 10 Finite Difference Methods in Heat Transfer, Second Edition [DOI]
  11. 11 Experimental and Numerical Studies of Natural Convection in Trapezoidal Cavities [DOI]
  12. 12 Numerical Mixed Convection Heat Transfer Analysis in a Ventilated Irregular Enclosure Crossed by Cu–Water Nanofluid [DOI]
  13. 13 Numerical Study of the Hydrodynamic and Thermal Proprieties of Titanium Dioxide Nanofluids Trapped in a Triangular Geometry [DOI]
  14. 14 Numerical Investigation of the Double Diffusive Convection in 3D Trapezoidal Solar Still Equipped with Conductive Fins [DOI]
  15. 15 NATURAL CONVECTION IN TRAPEZOIDAL CAVITIES WITH BAFFLES MOUNTED ON THE UPPER INCLINED SURFACES [DOI]
  16. 16 Hydromagnetic double-diffusive mixed convection in trapezoidal enclosure due to uniform and nonuniform heating at the bottom side: Effect of Lewis number [DOI]
  17. 17 Double-diffusive convection of two rods in a novel cavity saturated by porous media and suspended by nano-encapsulated phase change materials [DOI]
  18. 18 Convection naturelle de chaleur et de masse dans une cavité trapézoïdale [DOI]
  19. 19 Entropy generation and natural convection of nanofluids in a trapezoidal cavity having an innersolid cylinder [DOI]
  20. 20 Numerical Simulation of Natural Convection in A Cavity Filled with A Nanofluid Who’s Wall Containing the Heat Source Is Inclined [DOI]
  21. 21 Finite difference methods for ordinary and partial differential equations: steady-state and time-dependent problems [DOI]

Cited by 0

No indexed citations yet.

Related research

Article metrics

Real usage data collected on this platform.

35

Page views

0

PDF downloads

4

Outbound clicks

0

Citations

Views over time

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

Traffic sources

Referring site, by host.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.