Viscous Fluid Flow - Papanastasiou,Georgiou.pdf - Fluid Mechanics - ultrastarS

VISCOUS

FLUID FLOW

VISCOUS

FLUID FLOW

Tasos C. Papanastasiou

Georgios C. Georgiou

Department of Mathematics and Statistics

University of Cyprus

Nicosia, Cyprus

Andreas N. Alexandrou

Department of Mechanical Engineering

Worcester Polytechnic Institute

Worcester, MA

CRC Press

Boca Raton London New York Washington, D.C.

Androula, Charis and Yiangos Papanastasiou

and to

Dimitra, Nadia and Lisa

Contents

PREFACE

1 VECTORANDTENSORCALCULUS

1.1 SystemsofCoordinates

1.2 Vectors

1.2.1 VectorsinFluidMechanics

1.2.2 UnitTangentandNormalVectors

1.3 Tensors

1.3.1 PrincipalDirectionsandInvariants

1.3.2 IndexNotationandSummationConvention

1.3.3 TensorsinFluidMechanics

1.4 DiﬀerentialOperators

1.4.1 TheSubstantialDerivative

1.5 IntegralTheorems

1.6 Problems

1.7 References

2 INTRODUCTIONTOTHECONTINUUMFLUID

2.1 PropertiesoftheContinuumFluid

2.2 MacroscopicandMicroscopicBalances

2.3 LocalFluidKinematics

2.4 ElementaryFluidMotions

2.5 Problems

2.6 References

Viscous Fluid Flow - Papanastasiou,Georgiou.pdf