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7.3 Conservation of Discretized Equations 7.4 Transportive Property of Discretized 7.5 Sign-preservation Principle for Analyzing 7.3.1 Definition and analyzing model 7.3.2 Direct summation method 7.3.3 Conditions for guaranteeing conservation 7.3.4 Discussion-expected but not necessary 7.3.2 Direct summation method (直接求和法) 7.3.4 Discussion-Conservation is expected but not 7.4.1 Essential (基本的) difference between 7.4 Transportive (迁移)Character of Discretized 7.4.2 CD of diffusion term can propagate(传播) 7.4.3 Analysis of transport character of 7.4.4 Upwind scheme of convection term 7.4.5 Discussion on transport character of 7.4.1 Essential difference between convection 7.4 Transportive Property of Discretized Equations 7.4.3 Analysis of transport character (迁移特性) of 7.4.4 Upwind scheme (迎风格式) of convective 7.4.5 Discussion on transportive character of 7.5 Stability analysis of discretized diffusion￾convection equation
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6.1 Source terms in momentum equations and two key issues in numerically solving momentum equation 6.1.1 Introduction 6.1.2 Source in momentum equations 6.1.3 Two key issues in solving flow field 6.2 Staggered grid system and discretization of momentum equation 6.2.1 Staggered grid(交叉网格) 6.2.2 Discretization of momentum equation in staggered grid 6.2.3 Interpolation in staggered grid 6.2.4 Remarks 1. Flow rate at a node 2. Density at interface 3. Conductance at interface 6.3 Pressure correction methods for N-S equation 6.3.1 Basic idea of pressure correction methods 6.3.2 Equations for velocity corrections of u ’, v ’ 6.3.3 Derivation of equation of pressure correction p ’ 6.3.4 Boundary condition for pressure correction
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6.4.1 Calculation procedure of SIMPLE algorithm 6.4.2 Approximations in SIMPLE algorithm 6.4.3 Numerical example 6.4 Approximations in SIMPLE algorithm 6.4 Approximations in SIMPLE Algorithm 6.5 Discussion on SIMPLE and Convergence Criteria 6.5.1 Discussion on SIMPLE algorithm 6.5.2 Convergence criteria of flow field iteration 6.6 Developments of SIMPLE algorithm 6.6.1 SIMPLER-Overcoming 1st assumption of 6.6.2 SIMPLEC-Partially overcoming 2nd assumption 6.6.3 SIMPLEX- Partially overcoming 2nd 6.6.4 Comparisons of algorithms 6.6.2 SIMPLEC-Partially overcoming the 2nd 6.6.3 SIMPLEX algorithm 6.6.5 IDEAL algorithms
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6.7 Boundary condition treatments for open system 6.7.1 Selections for outlet boundary 6.7.2 Treatment of outlet boundary condition 6.7.3 Treatment of outlet boundary condition with 6.7.4 Methods for outlet normal velocity satisfying 6.7.1 Selections for outlet boundary position 6.7.2 Treatment of B.C. without recirculation 6.7.4 Methods for outlet normal velocity to satisfy 6.8.1 Natural convection in an enclosure 6.8.2 Numerical treatments of island (孤岛) 6.8 Fluid Flow and Heat Transfer in a Closed System 6.8 Fluid Flow and Heat Transfer in a Closed system 6.8.1 Natural convection in enclosure 6. Other examples of flow in enclosure 6.8.2 Numerical treatments for isolated island
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5.1 Introduction to Solution Methods of ABEqs 5.2 Construction of Iteration Methods of Linear Algebraic Equations 5.3 Convergence Conditions and Acceleration Methods for Solving Linear ABEqs. 5.4 Block Correction Method –Promoting Conservation Satisfaction 5.5 Multigrid Techniques –Promoting Simultaneous Attenuation of Different Wave-length Components
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Heat Exchangers, LMTD Method Where we’ ve been. So far have focused on detailed heat transfer analysis of specific conditions, such as external heat transfer coefficient Where were going: Investigate methods for larger system level analysis that combine all these modes of heat transfer in heat exchangers
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§1层流速度边界层的相似解 §2低速、常物性的层流边界层能量方程 §3壁温为常数的平壁上换热 §4楔型流的换热 §5壁温任意变化的情况 §6任意形状物体上换热
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一、对流换热基本概念 二、对流换热基本方程 三、二维边界层微分方程 四、层流边界层流动和换热的相似解 五、边界层积分方程
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1、重点内容: ①非稳态导热的基本概念及特点; ②集总参数法的基本原理及应用; 3一维及二维非稳态导热问题。 2、掌握内容: ①确定瞬时温度场的方法; ②确定在一时间间隔内物体所传导热量的计算方法
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一、概述 二、集总热容分析 三、大平壁在等温介质中的冷却 四、乘积解 五、非齐次问题 六、定壁温边界条件下半无限大物体的温度响应 七、积分方程近似解 八、常热流边界条件下的半无限大物体
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