以下为句子列表：
英文: Abstract: This paper describes the thermal effects of a coaxial RF-excitedCO2 laser，based on the balance equations of electron density and energy，current continuity equation，and heat conduction equation.Depende ncies of the spatial distributions of gas te
中文: 文摘:通过求解放电等离子体中的带电粒子密度和能量的平衡方程、电流连续性方程以及热传导方程，研究了同轴射频（RF）激励CO2激光器中放电混合气体的温度效应，分析了有关放电参数对温度分布的影响。
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英文: 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.
中文: 通过将电场量引入温度场方程，作适当变换，把含内热源的热传导问题转化爲不含内热源的热传导问题，然后可以采用分离变量法进行求解。
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英文: Both the zone supply and return plenums are solved in the heat balance as thermal zones which couple through heat conduction with adjacent zones.
中文: 送风静压箱和回风静压箱都被作为与相邻房间热传导相耦合的热区，采用热平衡的方法求解。
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英文: By solving an inverse heat conduction problem, one method is given about to compute wall thickness of cylinder-shaped equipment based on the outer surface tempereture.
中文: 摘要利用红外测温技术，结合导热反问题求解，给出了一种根据圆筒外壁温度计算筒壁厚的方法。
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英文: By using the eigenfunction expansion technique, a one-dimension finite element formulation is then developed to determine the eigensolutions to the 2D heat conduction problem at the crack tip, which discretizes the sectorial domain circumferenially.
中文: 利用特征方程展开方法，可获得分析裂纹尖端处二维热传导特征解的一维有限元列式。
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