4 due to the irregular geometric boundary and the complicated internal heat source distribution , the theoretical solution of transient temperature field for specimens with flaws is very difficult 4 、由于含缺陷的構(gòu)件具有不規(guī)則幾何形狀,且具有復(fù)雜內(nèi)熱源,在進(jìn)行溫度場解析求解過程中遇到很大困難。
Adopting appropriate transformation , this paper transformed the heat conduction problem with internal heat source into a non - source heat conduction problem and solved the problem successfully by the method of separating the variables 通過將電場量引入溫度場方程,作適當(dāng)變換,把含內(nèi)熱源的熱傳導(dǎo)問題轉(zhuǎn)化?不含內(nèi)熱源的熱傳導(dǎo)問題,然后可以采用分離變量法進(jìn)行求解。
By adopting appropriate transformation , this paper transform the heat conduction equation with internal heat source into a non - source heat conduction equation , and then solve the problem successfully by the method of separation of variables 其關(guān)鍵方法是:通過將電場量引入溫度場方程,作適當(dāng)變換,把含內(nèi)熱源的熱傳導(dǎo)方程轉(zhuǎn)化為不含內(nèi)熱源的熱傳導(dǎo)方程,然后采用分離變量法進(jìn)行求解。
The paper establishes mathematics model of electromagnetic heating system of eddy current field and temperature field , and gives corresponding discrete format with elements as eight nodes , hexahedron equal cell , through calculating eddy - current field to gain the internal heat source that the temperature field needed , to use discrete method to solve the problem of induction - heating part ' s temperature field by axial symmetrical electromagnetic , and then to analyze the characteristic of instantaneous temperature field 本文建立了電磁加熱系統(tǒng)的渦流場和溫度場間接耦合的數(shù)學(xué)模型,分析了不同頻率下渦流和溫度的分布情況,并以八節(jié)點(diǎn)六面體等參元為例給出了渦流場對應(yīng)的離散格式,通過計(jì)算渦流場獲得溫度場所需要的內(nèi)熱源強(qiáng)度,加熱部件的溫度場以軸對稱格式進(jìn)行離散求解,并對瞬態(tài)溫度場有限單元法的求解特點(diǎn)進(jìn)行了分析。