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第一部分　流体力学正命题、反命题与杂交命题3

叶轮机械气体动力学设计与分析3

任意旋成面叶栅气动正命题的广义变分原理、变分原理与互偶极值原理41

平面叶栅气动设计的最优化理论55

Variational Principles and Generalized Variational Principles for the Hybrid Aerodynamic Problem of Airfoil Cascades on an Arbitrary Stream Sheet of Revolution68

任意旋成面叶栅杂交型气动命题的变分原理与广义变分原理（Ⅱ）80

任意旋成面叶栅气动反命题及杂交型命题的通用解法89

轴流式叶轮机S2流面气动半反命题的变分原理与广义变分原理102

旋转叶轮内含激波的跨声速三元流动的变分原理与广义变分原理114

旋转叶轮内含激波跨声速三元流动的变分原理与广义变分原理（Ⅱ）124

矩函数及其在旋成面叶栅气动反命题及杂交命题中的应用128

平面叶栅气动设计的最优化理论（Ⅱ）136

旋成面叶栅一些杂交气动命题的新解法（Ⅰ）145

旋转叶轮内完全三元不可压缩流动各类杂交命题统一的变域变分理论153

叶轮机叶片气动优化理论的进展162

旋成面叶栅各类杂交气动命题统一的变域变分理论179

旋转叶轮内完全三元可压缩势流各类杂交命题通用理论与解法：（Ⅰ）轴流式、流函数形式190

A Unified Theory of Hybrid Problems for Fully Three-Dimensional Incompressible Rotor Flow Based on Variational Principles with Variable Domain198

轴流式叶轮机S2流面杂交气动命题的广义变分原理与变分原理210

Families of Variational Principles for Inverse and HA Hybrid Problems of an S2 Stream Sheet in Mixed Flow Turbomachines218

转子内含激波跨声速全三元流动各类杂交命题统一的变域变分理论：（Ⅰ）势流233

旋转叶轮内完全三元可压缩势流各类杂交命题的通用理论与解法：（Ⅱ）轴流式、势函数形式242

S2流面正命题适用于纯物质流体的变分原理族及实际蒸汽跨声流动的变分有限元解246

流体力学变分原理及有限元法研究的进展250

流体力学变分原理的建立与变换的系统性途径259

轴对称流道气动杂交命题的变分原理族269

S2流面正命题适用于纯物质流体的变分原理族及其对偶变分原理族275

有旋流动的赝势函数及其对超跨声速流动的应用281

Variational Principles and Generalized Variational Principles for Fully 3-D Transonic Flow with Shocks in a Turbo-Rotor:Part Ⅰ.Potential Flow291

Variational Principles and Generalized Variational Principles for Fully 3-D Transonic Flow with Shocks in a Turbo-Rotor:Part Ⅱ.Rotational Flow308

Improved Scalar-Vector Potential Formulations of 3-D Compressible Rotational Flow322

The Radial Equilibrium Problem of Flow in Wave Machinery326

Simple Formulae for Optimal Solidity of Two-Dimensional Compressor Cascades Based on Diffusion Concept344

A New Finite Element with Self-Adapting Built-in Discontinuity for Shock-Capturing in Transonic Flow357

Generalized Finite Element Method via Variable-Domain Variations:Cogeneration of Optimal Grid and Flow Field364

A Unified Variable-Domain Variational Approach to Hybrid Problems of Compressible Blade-to-Blade Flow370

A Variable-Domain Variational Theory Using Clebsch Variables for Hybrid Problems of 2-D Transonic Rotational Flow389

Variational Variable-Domain Finite Element Method for Hybrid Problems of Three-Dimensional Incompressible Rotor Flow395

A Unified Variable-Domain Variational Theory of Hybrid Problems for Compressible S2-Flow in Mixed-Flow Turbomachinery412

Advances in Research on Inverse and Hybrid Problems of Turbomachinery Aerothermodynamics in China426

Optimization of Axial-Flow Pump Cascade Solidity Subject to Cavitation-and Separation-Free Constraints457

A Unified Variational Theory of Hybrid Problems for Fully 3-D Transonic Rotor-Flow with Shocks:Part Ⅰ.Potential Flow465

Variable-Domain Finite Element Method Based on Variational Principles for Solving Hybrid Problems of Fully 3-D Compressible Rotor flow480

Generalized Euler's Turbomachine Equation and Free Vortex Sheet Conditions in Separated/Cavitated Turbo-Flows498

A New Pseudo-Potential Model for Rotational Turbo-Flow:(Ⅰ)Variational Formulation and Finite Element Solution for Transonic Blade-to-Blade Flow516

Variable-Domain Variational Finite Element Method:a General Approach to Free/Moving Boundary Problems in Heat and Fluid Flow539