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

Format:

Book

Contributor:

Johnson, Peter J., editor.

Series:

Mathematics Research Developments

Language:

English

Subjects (All):

Navier-Stokes equations.

Physical Description:

1 online resource (120 pages)

Place of Publication:

New York, New York : Nova Science Publishers, [2021]

Summary:

"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"-- Provided by publisher.

Contents:

Intro

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

ACKNOWLEDGMENT

Chapter 3INTEGRALS OF THE NAVIER - STOKESAND EULER EQUATIONS FOR MOTIONOF INCOMPRESSIBLE MEDIUM

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

Chapter 4DEEP WATER MOVEMENT

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

INDEX

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Notes:

Description based on print version record.

Includes bibliographical references and index.

ISBN:

1-68507-162-7

OCLC:

1274023324