Navier-Stokes Equations and Their Applications

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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