Navier-Stokes equations and their applications /Peter J. Johnson, editor.

Includes bibliographies and index.

"In physics, Navier-Stokes equations are the partial differential equations that describe the motion of viscous fluid substances. In this book, these equations and their applications are described in detail. Chapter One analyzes the differences between kinetic monism and all-unity in Russian cosmism and Newtonian dualism of separated energies. Chapter Two presents a model for the numerical study of unsteady gas dynamic effects accompanying local heat release in the subsonic part of a nozzle for a given distribution of power of energy. Chapter Three describes a study of relationships between integrals and areas of their applicability. Lastly, Chapter Four defines the exact solutions of the Navier-Stokes equations characterizing movement in deep water and near the surface"--

Intro -- NAVIER-STOKES EQUATIONSAND THEIR APPLICATIONS -- NAVIER-STOKES EQUATIONSAND THEIR APPLICATIONS -- CONTENTS -- PREFACE -- Chapter 1KINETIC MONISM AND ALL-UNITY INRUSSIAN COSMISM VERSUS NEWTONIANDUALISM OF SEPARATED ENERGIES -- ABSTRACT -- INTRODUCTION TO MODERN CHALLENGES -- MONISTIC METHOD -- MONISTIC MATTER-ENERGY OF RUSSIAN COSMISTS -- Multi-Vertex All-unity of Continuous Energy -- Monism of Continuous Mass-Energy with CorrelatedKinetic Stresses -- DISCUSSION -- Metric Stresses in General Relativity for Local Pushesof Lomonosov instead of Distant Gravitation Pullsof Newton

No Dark Matter in Monism and All-Unity of Kinetic Densities -- Umov's Energy Media with Tensor Self-Organizationof Correlated Densities versus Euler/Navier-StokesTransfer of Point Masses -- Kinetic Monism of Self-Pulsating Cosmic Organizationsand the Accelerated Metagalaxy with Self-Cooling -- CONCLUSION -- REFERENCES -- Chapter 2SIMULATION OF HIGH-TEMPERATUREFLOWS IN NOZZLES WITH UNSTEADYLOCAL ENERGY SUPPLY -- Abstract -- 1. INTRODUCTION -- 2. MATHEMATICAL MODEL -- 2.1. Navier-Stokes Equations -- 2.2. Euler Equations -- 2.3. Initial and Boundary Conditions -- 3. NUMERICAL METHOD

4. REAL GAS EFFECTS -- 5. MODEL OF ENERGY SUPPLY -- 5.1. Temperature Distribution -- 5.2. Intensity Distribution -- 6. RESULTS AND DISCUSSION -- 6.1. Nozzle Geometry and Energy Supply -- 6.2. Test Cases -- 6.3. One-Dimensional Flows -- 6.4. Two-Dimensional Flows -- 6.5. Flows of Real Gas -- CONCLUSION -- ACKNOWLEDGMENT -- REFERENCES -- Chapter 3INTEGRALS OF THE NAVIER -- STOKESAND EULER EQUATIONS FOR MOTIONOF INCOMPRESSIBLE MEDIUM -- Abstract -- 1. INTRODUCTION -- 2. METHODS -- 3. RESULTS -- 3.1. Lagrange -- Cauchy Integral as the Special Case of theRoot Integral

3.2. Integral of Bernoulli as Special Case of the Root Integral -- 3.3. Integral of Euler -- Bernoulli as Special Case of the RootIntegral -- 3.4. Tree of Integrals for Motion of Incompressible Medium -- 4. DISCUSSION -- CONCLUSION -- REFERENCES -- Chapter 4DEEP WATER MOVEMENT -- Abstract -- 1. INTRODUCTION -- 2. METHODS -- 2.1. First Integral -- 2.2. Generator of Solutions -- 2.3. Exact Solutions Describing DeepWater Movement -- 3. SOLUTION OPTIONS -- 3.1. Solution 1 -- 3.2. Solution 2 -- 3.3. Solution 3 -- 3.4. Free Surface Profile -- 4. DISCUSSION -- CONCLUSION -- REFERENCES -- INDEX

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