Research Information System
Research on Engineering Structures and Materials, vol.3, no.1, pp.1-10, 2017 (Peer-Reviewed Journal)
In this paper we investigate the natural convection which exists under theBoussinesq approximation and completely passive boundary conditions. Thisphenomenon is applicable to the cooling of a heated body and heating andcooling of rooms and buildings and etc. The model equations of momentum andenergy are solved by using improved differential transform method. Thismethod is an iterative way for obtaining Taylor series coefficients. Theconvergence of the Taylor series is obtained by combining the method with theLeast Square method for the problem first time here. The combination of thesetwo powerful methods yields semi analytical solutions in the form of apolynomial through a straightforward manner. The efficiency and applicabilityof the algorithm are assessed and tested and error calculations have beenpresented.