The Optimal Heating Method For A Room

Most of the researches on heating optimization are case study present. Theychoose a specific optimization method to optimize a given building or system. It costsa lot of time and is not able to find the best heating method in this way. And theconclusion is just suitable for the given building, common law is unavailable. In thearticle, a new way is put forward with the thought of the inverse problem. It is not tooptimize the heating system, but to study the heating method itself. In order to solvethe problem, the heat transfer equation is simplified by Green’s function, and theapproximate equation is put forward. And the average relative error compared to theexact solution is lower than0.2%. With the help of the approximate equation, theoptimal heating method is solved by variational method, and then the solution isverified by simulation. The optimal heating method is heating the inner wall surfaceduring the previous period; while heating the indoor air during the rest of time. It is amix heating method, and the shift time can be calculated by the equation put forwardin the article. With the help of the mathematical solution, the optimal heating methodis simplified to either heating the inner wall or the air by the parameter analysis. Thediscriminant of the optimal heating method is deduced from the mathematical solutionand the physical explanation is put forward.