Effect of Length and Inclination of a Thin Fin on Natural Convection in a Square Enclosure

Abstract

A numerical investigation of steady, laminar, natural convective fluid flow in a square enclosure with an inclined heated thin fin of arbitrary length attached to the hot wall is considered. A transverse temperature gradient is applied on two opposing walls of the enclosure, while the other two walls are adiabatic. Attachment of highly conductive inclined thin fins with lengths equal to 20%, 35%, and 50% of the side, positioned in the middle of the hot left wall of the enclosure, is examined. The problem is formulated in terms of the vorticity-stream function procedure. A numerical solution based on the finite-volume method is obtained. Representative results illustrating the effects of the thin-fin inclination angle and length on the streamlines and temperature contours within the enclosure are reported. In addition, results for the local and average Nusselt numbers at the heated wall of the enclosure are presented and discussed for various parametric conditions. It is found that the Rayleigh number and the thin-fin inclination angle and length have significant effects on the average Nusselt number of the heated wall including the fin of the enclosure.

Conjugate natural convection in a square enclosure with inclined thin fin of arbitrary length

“…The mesh quality of the numerical model was further assessed by means of Aspect Ratio, EquiAngle Skew, and EquiSize Skew of each cell within the domain. The definitions and acceptable ranges for the employed mesh quality indices are described elsewhere [17]. With respect to the Aspect Ratio, 90% of the cells have 1.0 Q AR 1.01 and 99% of the cells have 1.0 Q AR 1.08.…”

“…The parametric study covered fin's dimensionless length from 0.10 to 0.90, fin's dimensionless position from 0.10 to 0.90, and fin's relative conductivity from 1 to 60. Inclined thin fin was first considered by Ben-Nakhi and Chamkha [17] who studied the effects of a heated thin fin length and inclination angle on steady, laminar, two-dimensional natural convection fluid flow inside a differentially-heated square enclosure. The study covered fin inclination angles from 0 • to 180 • , and dimensionless fin lengths of 0.2, 0.35, and 0.5.…”

Effect of Inclination on Heat Transfer and Fluid Flow in a Finned Enclosure Filled with a Dielectric Liquid

“…Other relevant papers related to the topic can also be consulted in references [11][12][13][14][15][16].…”

Fuzzy-based estimation of mixed convection heat transfer in a square cavity in the presence of an adiabatic inclined fin

“…Adding partitions in order to control the fluid field and thermal characteristics of the enclosures has also been extensively studied by many researchers [8][9][10][11][12][13][14][15]. [16] have numerically analyzed the effect of length and inclination angle of a thin fin on natural convection in a square enclosure. The effect of attaching highly conductive fin on the hot wall is examined for different fin lengths.…”