Fluid mechanics of the atmosphere / Robert A. Brown.

Format:

Book

Author/Creator:

Brown, Robert A. (Robert Alan), 1934-

Series:

International geophysics series ; v. 47.

International geophysics series ; v. 47

Language:

English

Subjects (All):

Dynamic meteorology.

Fluid mechanics.

Physical Description:

1 online resource (503 p.)

Place of Publication:

San Diego : Academic Press, c1991.

Language Note:

English

Summary:

Fluid Mechanics of the Atmosphere presents the fundamental equations which govern most of the flow problems studied by atmospheric scientists. The equations are derived in a systematic way that is intended to facilitate critical evaluation. The goal of this text is twofold. First the book supplies the student a background familiarity in the underlying physics behind the mathematics. Second it explores some systematic methods of relating these physics to atmospheric problems, including rotating frames of reference effects, vorticity dynamics, and turbulence effects on closure.Key Featur

Contents:

Front Cover; Fluid Mechanics of the Atmosphere; Copyright Page; Contents; Preface; Part I Fundamentals; Chapter 1 Fundamentals of Fluid Dynamics; 1.1 Atmospheric Fluid Dynamics; 1.2 Newton's Law in a Rotating Frame of Reference; 1.3 The Laminar Flow Regime and Potential Flow; 1.4 Waves, Vortices, and Instabilities; 1.5 Turbulence and Transition; 1.6 Boundary Layers; 1.7 Historical Development; 1.8 The Fluid Parcel; 1.9 Continuum and Averaging; 1.10 The Equation of State for a Perfect Gas; 1.11 Viscosity; 1.12 Summary; 1.13 Glossary; 1.14 Symbols; Problems; Chapter 2 Flow Parameters

2.1 Local Time and Spatial Changes (Differentiation at a Point)2.2 The Advective Change and Index Notation; 2.3 Divergence/Convergence; 2.4 Vorticity; 2.5 The Vortex; 2.6 The Coriolis Term; 2.7 Integral Theorems; 2.8 Summary; Problems; Chapter 3 Methods of Analysis; 3.1 Scaling; 3.2 Dimensional Analysis; 3.3 Similarity; 3.4 Some Similarity Concepts; 3.5 Summary; Problems; Chapter 4 Tensors and Relative Motion; 4.1 Tensors; 4.2 Relative Motion near a Point; 4.3 An Arbitrary Division of the Velocity; Summary; Problems; Part II The Governing Equations for Fluid Flow

Chapter 5 Conservation of Mass-Continuity5.1 The Parcel Derivation; 5.2 A Lagrangian Perspective; 5.3 Two-Dimensional Version of Continuity; 5.4 The Integral Form of Continuity; 5.5 Compressibility; 5.6 Conservation Statement for the Quantity f; Problems; Chapter 6 Momentum Dynamics; 6.1 Conservation of Momentum-Newton's Law; 6.2 Derivation with Respect to the Infinitesimal Elementary Parcel-Lagrangian Perspective; 6.3 The Stress Term-Liquids and Gases; 6.4 The Coriolis Term; 6.5 The Dimensionless Navier-Stokes Equations; 6.6 Summary; Problems; Chapter 7 Conservation of Energy

7.1 The First Law of Thermodynamics7.2 The Energy Equation; 7.3 The Mechanical Energy Equation; 7.4 The Internal Energy Equation; 7.5 The Enthalpy Equation; 7.6 The Moist Atmosphere Energy Equation; 7.7 An Alternative Derivation; 7.8 Flow along a Streamline; 7.9 Summary; Problems; Chapter 8 Vorticity; 8.1 Vorticity Characteristics; 8.2 Arbitrary Separation of the Velocity Field; 8.3 Kinematics of Vorticity; 8.4 The Vorticity Tube; 8.5 Vorticity Transport Equation; 8.6 Vorticity Characteristics; 8.7 Application of Momentum, Energy, and Vorticity Equations to Bernoulli's Law; 8.8 Summary

ProblemsChapter 9 Potential Flow; 9.1 Introduction; 9.2 The Velocity Potential; 9.3 The Stream Function for Two-Dimensional Flow; 9.4 Potential Motion with Circulation Compared to Rotational Flow in a Free Vortex; 9.5 Potential Flow (of an Ideal Fluid); 9.6 The Method of Singularities; 9.7 The Idealized Vortex; 9.8 Summary; Problems; Chapter 10 Perturbation Equations; 10.1 The Mean Flow; 10.2 Waves; 10.3 Turbulence; 10.4 Reynolds Averaging-Flux; 10.5 The Set of Perturbed Navier-Stokes Equations; 10.6 The Eddy Viscosity Assumption; 10.7 Summary; Problems; Chapter 11 Boundary Layers

11.1 Introduction

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 457-460) and index.

ISBN:

1-282-25806-0

9786612258060

0-08-091711-9

OCLC:

428100886