权益分类	功能权益	普通用户	{{item.name}}会员
{{category.name}}	{{benefitItem.name}}

Boundary Integral Expression of Forced Convection Heat Transfer under Arbitrary Surface Temperature Distributions and Its Application to Heat Transfer Optimal Design

任意表面温度分布下强制对流换热的边界积分表达式及其在传热优化设计中的应用

基本信息

批准号：
09650240
负责人：
MOMOSE Kazunari
金额：
$ 1.92万
依托单位：
Osaka University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1997
资助国家：
日本
起止时间：
1997 至 1999
项目状态：
已结题

项目摘要

Convection heat transfer characteristics depend not only on geometric and flow boundary configurations, but on also thermal boundary conditions. Thus, in order to evaluate the heat transfer rate under arbitrary thermal boundary conditions, we need to develop a general heat transfer expression instead of ordinary heat transfer coefficient defined in Newton's cooling law.From this reason, we have proposed a boundary integral expression of forced convection heat transfer, in which the heat transfer rate is expressed as a function of thermal boundary conditions. Moreover, we have extended this expression for natural and mixed convection heat transfer problems by using the perturbation method.The results obtained can be summarized as follows :(1) Local heat transfer rate in forced convection heat transfer problem can be expressed by a Fredholm-type boundary integral as a function of surface temperature distributions. This boundary integral expression, whose kernel can be obtained by a numerical simulation technique, also clarifies a detailed mechanism of forced convection heat transfer.(2) A numerical solution of adjoint problem for forced convection heat transfer enables us to calculate the mean heat transfer rate under arbitrary steady and unsteady thermal boundary conditions.(3) Introducing the perturbation principle and using the numerical solutions of base and perturbed adjoint problems, a kind of sensitivity function can be constructed for natural and mixed convection heat transfer. The sensitivity function gives the change of mean heat transfer rate for arbitrary thermal and flow boundary perturbations.

对流换热特性不仅取决于几何和流动边界配置，但也热边界条件。因此，为了计算任意热边界条件下的传热率，需要用一般的传热表达式来代替牛顿冷却定律中定义的传热系数，为此，我们提出了强制对流传热的边界积分表达式，其中传热率表示为热边界条件的函数。此外，我们还利用摄动方法将该表达式推广到自然对流和混合对流换热问题，所得结果可概括如下：（1）强迫对流换热问题中的局部换热率可以用Fredholm型边界积分表示，它是表面温度分布的函数。这种边界积分表达式，其内核可以通过数值模拟技术获得，也阐明了强制对流传热的详细机制。(2)强迫对流换热伴随问题的数值解法使我们能够计算任意定常和非定常热边界条件下的平均换热率。(3)引入摄动原理，利用基本问题和摄动伴随问题的数值解，可以构造一种适用于自然对流和混合对流换热的灵敏度函数。灵敏度函数给出了任意热边界和流动边界扰动下平均传热率的变化。