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多段法渗碳碳浓度分布的解析计算方法
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作者 刘苏南 李云 安徽大学 《合肥工业大学学报(自然科学版)》 CAS CSCD 2001年第4期611-614,共4页
多段法渗碳的数学模型是线性偏微分方程。线性偏微分方程的一个重要性质是可迭加性。文章以球形工件多段法渗碳为例 ,建立起多段法渗碳的数学模型并运用迭加原理和分离变量法求得了球形工件多段法渗碳定解问题的解析解 ,即碳浓度分布函... 多段法渗碳的数学模型是线性偏微分方程。线性偏微分方程的一个重要性质是可迭加性。文章以球形工件多段法渗碳为例 ,建立起多段法渗碳的数学模型并运用迭加原理和分离变量法求得了球形工件多段法渗碳定解问题的解析解 ,即碳浓度分布函数。碳浓度分布函数可以更加深刻地描述多段法渗碳的物理本质。 展开更多
关键词 多段法渗碳 数学模型 碳浓度布函数 解析法 线性偏移分方程 渗层质量
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Flow of Burgers' fluid over an inclined stretching sheet with heat and mass transfer 被引量:2
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作者 T.Hayat Sadia Asad A.Alsaedi 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第8期3180-3188,共9页
Effects of heat and mass transfer in the flow of Burgers fluid over an inclined sheet are discussed. Problems formulation and relevant analysis are given in the presence of thermal radiation and non-uniform heat sourc... Effects of heat and mass transfer in the flow of Burgers fluid over an inclined sheet are discussed. Problems formulation and relevant analysis are given in the presence of thermal radiation and non-uniform heat source/sink. Thermal conductivity is taken temperature dependent. The nonlinear partial differential equations are simplified using boundary layer approximations. The resultant nonlinear ordinary differential equations are solved for the series solutions. The convergence of series solutions is obtained by plotting theη-curves for the velocity, temperature and concentration fields. Results of this work describe the role of different physical parameters involved in the problem. The Deborah numbers corresponding to relaxation time(β1 and β2) and angle of inclination(α) decrease the fluid velocity and concentration field. Concentration field decays as Deborah numbers corresponding to retardation time(β3) and mixed convection parameter(G) increase. Large values of heat generation/absorption parameters A/B, and the temperature distribution across the boundary layer increase. Numerical values of local Nusselt number,-θ′(0), and local Sherwood number,-f′(0), are computed and analyzed. It is found that θ′(0) increases with an increase in β3. 展开更多
关键词 Burgers' fluid thermal radiation inclined stretching sheet non-uniform heat source variable thermal conductivity
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