Natural Convection and Surface Radiation in a Heated Wall, C-Shaped Fracture

Abstract

The present study considers the coupled natural convection and surface radiation process through an open fracture of a solid wall facing a reservoir containing isothermal quiescent fluid (air). The fracture is modeled as a regular, C-shape path through the wall, with the vertical surface being heated and the horizontal ones adiabatic. The solid center section of the fracture is thermally participant inasmuch it can be heated or cooled by the natural convection process and by the radiation effect from the other surfaces of the fracture. The convection-radiation phenomenon is mathematically modeled and numerically simulated in a systematic parametric study of the thermal process as affected by changes in the fracture channel size, via changes in the size of the solid center section 0 < D < 1.0, surface emissivity 0 ≤ ε ≤ 1.0, Rayleigh number 105 ≤ Ra ≤ 108, and Pr = 0.71. Attention is given to the radiation shadowing effect caused by the center section of the fracture and of the interference effect, as the fracture channel changes in size, affecting the natural convection process through the fracture. An analytical prediction of the interference effect and an empirical correlation for predicting the total Nusselt number, both validated against the numerical results, are presented.

A Review on the Control Parameters of Natural Convection in Different Shaped Cavities with and without Nanofluid

“…There is a barrier with thermal conductivity within the cavity and, thus, they found that the ratio of thermal conductivity and block size were good controllers for heat transfer. Lugarimi et al [43] studied the natural and turbulent convection heat by means of the FVM. Inside the cavity, there was a square barrier.…”

A Systematic Approach for Optimal Positioning of Heated Side Walls in a Side Vented Open Cavity Under Natural Convection and Surface Radiation

“…Kwon et al (2018) presented an analytic approach to thermal optimization of horizontally oriented radial plate-fin heat sinks in natural convection. Lugarini et al (2018) studied natural convection and surface radiation in a heated wall with the C-shaped fracture. The above research works show the importance of natural convection and surface radiation heat transfer in the practical applications like the electronic cooling.…”

Coupled Laminar Natural Convection and Surface Radiation in Partially Right Side Open Cavities

“…Bangian-Tabrizi and Jaluria (2018) proposed an optimization strategy for the inverse solution of a convection heat transfer problem. Lugarini et al (2018) studied natural convection and surface radiation in a heated wall with the Cshaped fracture. Miroshnichenko and Sheremet (2018) studied the turbulent natural convection combined with thermal surface radiation inside an inclined cavity having local heater.…”