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Heat Gain by Conduction through Exterior Walls and Roofs 通过外墙和屋顶传导获得的热量
计算瞬态(时变)热增益和损失的最常用方法。通过墙壁和屋顶是传递函数法。Mitalas和Arsenault(1,2)开发的传递函数法在1972年ASHRAE基础知识手册(3)第22章中有详细介绍。报告中列出了足够的数据,以计算总共96种墙体结构和36种屋顶结构的瞬态热增益或损失。此外,通过直接使用Mitalas和Arseneault(2)开发的Fortran IV计算机程序,可以计算手册中未列出的结构类型的瞬态热增益或损失,当室内外空气温度变化时,传递函数法具有计算建筑物各部分热量增益和损失的固有能力。 然而,当使用手册中的方法和数据应用传递函数方法解决热流问题时,一个限制是室内空气温度必须在24小时内保持恒定(3)。这个限制大概是为了大大简化计算。因此,对许多不同类型的墙体和屋顶结构应用传递函数法的程序不能用于研究通过改变内部温度可以实现的热增益或热损失的减少。 在建筑物未被占用的时间内,改变恒温设置以降低建筑物的能源需求的做法对于降低供暖和制冷的总体能源需求具有重大潜力。传递函数法是通过热响应计算通过建筑构件的热流的一种特殊情况。因子法(3)也由米塔拉斯和阿森诺尔特(4)开发。Kusuda(S)将热响应系数法推广到具有有限厚度的各种曲率的多层结构和半无限厚度。 :.无限系统。为了解决外部和内部空气温度都是瞬态时的热流问题,必须使用更通用的热响应系数法。必须处理贝塞尔函数、拉普拉斯变换和拉普拉斯逆变换,以及幂级数分析。本文介绍了计算瞬态hea的计算机仿真模型的开发;通过具有传递函数法所有功能的墙壁和屋顶传导获得增益。该模型的优点是,当室内外空气温度均为瞬态时,可以方便地模拟通过墙壁和屋顶传导的热增益。 不需要诸如热响应系数法所需的高级数学技术;·理解并应用本文提出的方法。引用:马萨诸塞州波士顿ASHRAE Transactions第81卷第2部分
The most common method for calculating transient (time-varying) heat gains and losses. through walls and roofs is the transfer function method. The transfer function method, developed by Mitalas and Arseneault(1, 2) is clearly presented in detail in Chapter 22 of the 1972 ASHRAE HANDBOOK OF FUNDAMENTALS(3). Sufficient data are tabulated in the presentation to calculate the transient heat gains or losses for a total of 96 types of wall constructions and 36 types of roof constructions. Further, it is possible to calculate the transient heat gains or losses on a type of construction not listed in the HANDBOOK by working directly with the Fortran IV computer program that has been developed by Mitalas and Arseneault(2), The transfer function method has the ·inherent· capability to calculate heat gains and losses through building sections when both outside and inside air temperatures vary. However, when applying the transfer function method to solve a heat flow problem using the method and data in the HANDBOOK, one limitation is that the indoor air temperature must be assumed constant over a 24-hr period(3). This limitation is imposed, presumably, to greatly simplify the calculation. Consequently, the procedure for applying the transfer function method for many different types of wall and roof construction cannot be used to investigate the reductions in heat gains or losses that can be realized by changing the inside temperature. The practice of changing thermostatic settings to reduce energy requirements in buildings during the hours when the buildings are not occupied holds significant potential for reducing the overall energy requirements for heating and cooling.The transfer function method is a special case of the calculation of heat flow through building components by the thermal response.factor method(3 also developed by Mitalas and Arseneault(4). The thermal response factor method has been generalized by Kusuda(S) to multilayer structures with various curvatures of finite thickness and to semi.:.infinite systems. To solve heat flow problems when both outside and inside air temperatures are transient, one must use the more general thermal response factor method, To apply this method, one. must deal with Bessel functions, Laplace and inverse Laplace transforms, and power series analysis(S). This paper presents the development of a computer simulation model for calculating transient hea; gain by conduction through walls and roofs that has all the capabilities of the transfer function method. The model has the advantage of being easily applied to simulating the heat gain by conduction through walls and roofs when both the outside and inside air temperatures are transient. Advanced mathematical techniques such as are required for the thermal response factor method are not necessary; ·to understand and apply the method presented in this paper.
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