Application of the finite element method to natural convection heat transfer from the open vertical channel

Natural Convection from Vertical Parallel Plates: An Integral Method Solution

“…Figure 5 shows the comparison between the numerical results and the present analytical solution [Eqs. (21) and (22)] for the velocity and temperature distributions at different cross sections along the channel in the x direction. As shown, at the entrance of the channel, because of a sudden jump in temperature and velocity in the y direction due to the effects of wall, the integral technique cannot precisely predict the temperature and velocity profiles.…”

“…Local and average Nusselt numbers can be also calculated based on the temperature distribution obtained from the proposed analytical solution; Eq. (22). Equations (29) and (30) show the local and average Nusselt numbers for laminar natural convective heat transfer between two parallel plates as a function of the Rayleigh number; temperature difference; and the channel aspect ratio, ε l∕s: Figure 6 shows a comparison between the proposed average Nusselt number, [Eq.…”

“…Bodoia and Osterle [21] followed Elenbaas [17] and used a numerical approach to investigate the developing flow in a vertical and the natural convection heat transfer between symmetrically heated, isothermal plates in an effort to predict the channel length required to achieve fully developed flow as a function of the channel width and wall temperature. Ofi and Hetherington [22] used a finite element method to study the natural convective heat transfer from open vertical channels. Culham et al [23] also developed a numerical code to simulate the free convective heat transfer from a vertical fin array.…”

Effects of Geometrical Parameters on Natural Convective Heat Transfer From Vertically-Mounted Rectangular Interrupted Fins

“…Numerical approach: Bodoia and Osterle [12], followed Elenbaas [8] and used a numerical approach to investigate developing flow in the channel and heat transfer between symmetrically heated, isothermal plate in an effort to predict the channel length required to achieve fully developed flow as a function of the channel width and wall temperature. Ofi and Hetherington [13] used a finite element method to study the natural convective heat transfer from open vertical channels. Culham et al [11] also used a numerical code 2 to simulate the free convective heat transfer from a vertical fin array.…”