熱傳性隔板化方形槽內結合穩態自然對流－傳導流及熱傳之數值研究

Numerical Study of Conjugate Steady Natural Convection-Conduction Flow and Heat Transfer in Thermal Conductive Partitioned Plate Square Cavities

王舜德(Shuen-De Wang)

《建國科大學報》 27卷4期 (2008/07) Pp. 53-69

https://doi.org/10.6995/JCTU.200807.0053

摘要

提出穩定層化的自然對流（應用Boussinesq近似）及穩定熱傳導在不同受熱方形內，由於存在單一、薄的（百分之一邊長）長方體熱傳性隔板之有限元素為基底計算研究。熱質傳依自然對流及熱傳導之探討可借由數值上解決質量，動量與能量方程式。參數研究，執行上運用依下列參數：熱傳導性薄隔板長從0.1~0.9邊長，定位於左熱壁0.1~0.9邊長位置上，薄板熱傳導率比：30，60，Ra 數從10^4，10^5，10^6及Pr=0.71，呈現流速場，流線與等溫線。計算出熱與質傳，得到左熱壁之平均Nusselt數近乎為Rayleigh數及相對傳導係數的遞增函數，而為板長的遞減函數。

關鍵字

方形槽 ； 熱傳導係數 ； 對流 ； 有限元素法 ； 隔板

並列摘要

A finite elenment-based computational study of steady laminar natural convection (using Boussinesq approximation) and steady thermal conduction within a differentially heated square cavity due to the presence of a single thin (hundredth of side length) rectangular partitioned plate is presented. Heat transfer by natural convection and conduction is studied by numerically solving equations of mass, momentum and energy. A parametric study is carried out using following parameters: thermal dimensionless thin plate length from 0.1 to 0.9, dimensionless thin plate position from 0 to 0.9, dimensionless thermal relative conductivity ratio of thin plate: 30, 60, Ra: 10^4, 10^5, 10^6 and Pr=0.71. Velocity field, streamlines and isothermals are produced. Heat and mass transfer is calculated, It is found that average Nusselt number of left hot wall is almost an increasing function of Rayleigh number and relative conductivity ratio, and a decreasing function of plate length.

並列關鍵字

Square cavity ； thermal conductivity ； convection ； finite element method ； partitioned plate