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計(jì)算外壁熱響應(yīng)的非線性瞬態(tài)導(dǎo)熱反問題方法

Calculation of the boundary heat response based on nonlinear transient heat conduction

  • 摘要: 研究組合結(jié)構(gòu)外壁熱響應(yīng)特性，采用Beck’s序列函數(shù)法，優(yōu)化算法各個(gè)環(huán)節(jié)，建立應(yīng)用多個(gè)溫度測點(diǎn)、多個(gè)未來時(shí)間步的計(jì)算模型。文章通過假設(shè)熱流變化呈三角波形，計(jì)算結(jié)構(gòu)內(nèi)部溫度場，并取其中數(shù)點(diǎn)溫度信息作為反問題輸入條件迭代反演得到外壁熱流響應(yīng)，得到熱流誤差不超過0.5%、溫度誤差不超過0.01%的理想結(jié)果，并得到測點(diǎn)數(shù)量、位置等因素對(duì)計(jì)算誤差的影響。該計(jì)算方法可應(yīng)用于包裝結(jié)構(gòu)在模擬火災(zāi)等特殊環(huán)境中的外壁熱響應(yīng)研究。

     

    Abstract: Beck’s series function algorithm is applied to obtain the boundary heat response characteristics of combined bodies. Each step of the algorithm is optimized. A mathematical model containing multi-temperature measuring points and multi-future time steps is established. A triangular waveform heat flux is assumed as the boundary condition to solve the direct heat conduction problem to obtain the temperature field in the object. Then temperatures at some points are chosen as the input condition to calculate the boundary heat response. The errors of the results of iteration for the heat fluxes are lower than 0.5% and the errors of temperatures are lower than 0.01%. The effects of the number of measuring points, the positions of the measuring points and future time steps on the calculating errors are analyzed. The calculating method can be used to study the boundary heat response characteristics of the package structure in the fire simulation.

     

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