Laminar natural convection heat transfer in a shed roof with or without eave for summer season

Natural convection heat transfer and fluid flow have been examined numerically in a shed roof with or without eave for summer-day boundary condition. This boundary condition refers to hot isothermal inclined surface and eave, and cold isothermal bottom wall of roof due to air-conditioning of the room. Governing equations of natural convection are written in streamfunction–vorticity form and solved with the finite difference technique for laminar, two-dimensional, and steady-state regime. The successive under relaxation (SUR) method is used to solve linear algebraic equations. The numerical procedure adopted in the present study yields consistent performance over a wide range of parameters as AR = H/L from 0.25 to 1, ratio of eave length E = L/m, where m values are m = 3, 5 and 7, and Rayleigh numbers from 103–107. The value of E is considered as 0 (zero) for roof without eave. The obtained results show that eave length and aspect ratio are the most effective parameters on heat transfer for the same Rayleigh numbers.