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针对我国北方严寒地区平屋顶要求冬季保温而夏季散热的要求,保温层的厚度起着关键作用,计算出适当的厚度对建筑节能具有重要的现实意义。现主要分析了建筑物保温层的经济厚度,利用微元法对时间(一天24小时)进行微元分割,从而由非稳定条件下的热传导过程转化成稳定条件下的热传导过程,从而可以应用热传导平衡关系式,再由定积分定义求出每天单位面积的热传导总热量,再由总费用(即年取暖总费用和保温材料的费用)建立经济优化的数学模型,最后由一阶导数的几何意义,得出了一个简单实用的保温层经济厚度的计算公式d。
In view of the requirements of winter roof insulation in northern China in winter and cooling in summer, the thickness of insulation layer plays a key role. Calculating the appropriate thickness has important practical significance for building energy saving. Now mainly analyzes the economic thickness of the building insulation layer, the use of micro-element method of time (24 hours a day) for the micro-element division, and thus from unstable under the conditions of the heat transfer process into a stable condition of the heat transfer process, which can be applied heat conduction Balance the relationship, and then by the definition of definite integral derived daily total heat conduction per unit area, and then by the total cost (that is, the total cost of heating and insulation materials cost) to establish an economic optimization mathematical model, and finally by the first derivative of the geometric significance , Obtained a simple and practical thermal insulation thickness of the formula d.