Natural Aerodynamics - 1st Edition - ISBN: 9781483213163, 9781483226590

Natural Aerodynamics

1st Edition

International Series of Monographs on Aeronautical Sciences and Space Flight: Aerodynamics, Vol. 1

Authors: R. S. Scorer
eBook ISBN: 9781483226590
Imprint: Pergamon
Published Date: 1st January 1958
Page Count: 324
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Natural Aerodynamics focuses on the mathematics of any problem in air motion.

This book discusses the general form of the law of fluid motion, relationship between pressure and wind, production of vortex filaments, and conduction of vorticity by viscosity. The flow at moderate Reynolds numbers, turbulence in a stably stratified fluid, natural exploitation of atmospheric thermals, and plumes in turbulent crosswinds are also elaborated. This text likewise considers the waves produced by thermals, transformation of thin layer clouds, method of small perturbations, and dangers of extra-polation.

This publication is suitable for mathematicians and experimentalists in natural aerodynamical research, but is also valuable to aviators, engineers, geographers, and meteorologists.

Table of Contents


1 Inertia Forces

Newton's Laws and the Pressure Gradient

Pressure Gradient


Confluence and Convergence

The Importance of Sound

Bernoulli's Theorem

Points of Stagnation

Efficiency of Catch

Dynamic Soaring

Large Air Bubbles in Water

General Form of the Law of Fluid Motion

2 Motion on a Rotating Earth

The Deviating Force

The Relationship Between Pressure and Wind

Motion in the Upper Air

Sutcliffe's Development Theorems


3 Vorticity

Distortion and Rotation of a Fluid

The Vorticity Vector and Vortex Lines

Motion in a Teacup

Properties of Vorticity

The Production of Vortex Filaments

Production of Vorticity in the Atmosphere by Gravity

Vortex Rings

Straight Line Vortices

Vortex Pair

Vorticity on a Rotating Earth

Secondary Flow

Instability of a Vortex Sheet

4 Viscosity

Stresses and Strains

Kinetic Theory of Viscosity: Transfer of Momentum

The Reynolds Number


Efficiency of Catch

The Boundary Condition in Viscous Flow

The Conduction of Vorticity by Viscosity

Flow at Low Reynolds Numbers

5 Boundary Layers

Flow at Moderate Reynolds Numbers

Diffusion of a Vortex Sheet

The Growth of the Boundary Layer on a Flat Plate

Diffusion Through Boundary Layers

The Basis of Boundary Layer Theory

Separation of the Boundary Layer

The Growth and Diminution of Boundary Layers

Cavitation and Salient Edges

Separation at Bends and Corners

6 Wakes and Turbulence

Flow at Large Reynolds Numbers

The Drag Coefficient

Some Properties of Wakes

The Definition of Turbulence; Decay

The Reynolds Stresses

Isotropic Turbulence

The Problem of Defining the Mean Flow

Turbulence Near Boundaries

Turbulence in a Stably Stratified Fluid

Theodorsen's Horseshoes in Boundary Layer Spaghetti

Forced and Free Convection

Clear Air Turbulence in the Jet Stream

7 Buoyant Convection

Slow Convection

Convection Streets

Penetrative Convection

Thermals in the Atmosphere

Natural Exploitation of Atmospheric Thermals

8 Plumes and Jets

Pure Jets, or Momentum Plumes

Pure Buoyant Plumes

Transition from a Jet to a Buoyant Plume

Jet in a Smooth Crosswind

Buoyant Plume in a Smooth Crosswind

Plumes in Turbulent Crosswinds

Sutton's Theory

Effective Stack Height

Diurnal Variations in Plume Behaviour

The Behaviour of a Plume Near the Orifice

Plumes as Natural Phenomena

9 Air Waves

Explosion Waves

Tidal Waves; The Theory of Resonance

Mountain Waves

Travelling Waves

Waves Produced by Thermals

Noise in Nature

10 Clouds and Fallout

The Energy of Water

Convection in a Stable Environment

The Transformation of Thin Layer Clouds


Tides in the Atmosphere


11 Philosophy of Method

The Mathematician's Method

Physics: The Method of Dimensional Coefficients

The Geographers method

Dimensional Analysis: Numerical Coefficients

The Method of Small Perturbations

Formulae for Plume Dispersion: The Dangers of Extra-Polation

The Sense in a Question

Problems and Experiments for Discussion



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About the Author

R. S. Scorer

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