Study of Free Convection in a Double Heating Strips Triangular Cavity for Various Arrangements of Cold Walls

Abstract

The numerical investigation states the natural convection cooling of hot strips of the water-filled isosceles right triangular enclosure. The enclosure is heated through the double hot strips localized at the base wall with different dimensions 0.1L and 0.2L. The heat is removed from both side (H) and inclined walls (h) which are parted from the middle such as A = C= H/2 and B = D = h/2, respectively. The detached parts are organized in four different techniques. In the first case, lower halves of the side and inclined walls are taken, i.e., AB. The second case considered the lower half of the side wall and upper half of the inclined wall such as AD. Third case involves the upper half of the side wall and lower half of the incline wall, i.e., BC and in the last case both upper halves of the side and inclined walls such as CD are chosen. Finite volume method has been employed for the governing equations. The various parameters such as different arrangements of cold walls, hot strip sizes ( $$s = 0.1L$$ and $$q = 0.2L$$ ), gap between smaller strips $$(0.1L \le G \le 0.8L)$$ and larger strips $$(0.1L \le J \le 0.6L)$$ and Rayleigh number $$(10^{5} \le Ra \le 10^{7})$$ have been examined. The investigation reported that the average Nu for the gap $$J=0.6L$$ is 35.5% higher than that of the average Nu of $$J=0.1L$$ for the full length of cold walls at higher Rayleigh number.