Fluid dynamics. Part 1, Classical fluid dynamics / by Anatoly I. Ruban, Jitesh S.B. Gajjar.

Print version record.

This is the first book in a four-part series designed to give a comprehensive and coherent description of fluid dynamics, starting with chapters on classical theory suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field.

Includes bibliographical references and index.

Cover -- Preface -- Contents -- Introduction -- 1 Fundamentals of Fluid Dynamics -- 1.1 The Continuum Hypothesis -- 1.2 Forces Acting on a Fluid -- 1.2.1 Surface forces -- 1.2.2 The concept of a fluid -- 1.3 Thermodynamic Relations -- 1.3.1 The First Law of Thermodynamics -- 1.3.2 Enthalpy and entropy -- Exercises 1 -- 1.4 Kinematics of the Flow Field -- 1.4.1 Eulerian approach -- 1.4.2 Streamlines and pathlines -- 1.4.3 Vorticity -- 1.4.4 Circulation -- Exercises 2 -- 1.4.5 Rate-of-strain tensor -- 1.5 Constitutive Equation -- Exercises 3

""1.6 Equations of Motion""""1.6.1 Continuity equation in Eulerian variables""; ""1.6.2 Momentum equation""; ""1.6.3 The energy equation""; ""1.7 The Navier�Stokes Equations""; ""1.7.1 Incompressible fluid flows""; ""1.7.2 Compressible fluid flows""; ""1.7.3 Integral momentum equation""; ""1.7.4 Similarity rules in fluid dynamics""; ""Exercises 4""; ""1.8 Curvilinear Coordinates""; ""Exercises 5""; ""2 Solutions of the Navier�Stokes Equations""; ""2.1 Exact Solutions""; ""2.1.1 Couette flow""; ""2.1.2 Poiseuille flow""; ""2.1.3 Hagen�Poiseuille flow""

""2.1.4 Flow between two coaxial cylinders""""2.1.5 Impulsively started flat plate""; ""2.1.6 Dissipation of the potential vortex""; ""2.1.7 K�arm�an flow""; ""Exercises 6""; ""2.2 Numerical Solutions""; ""2.2.1 Viscous flow past a circular cylinder""; ""2.2.2 Lid-driven cavity flow""; ""3 Inviscid Incompressible Flows""; ""3.1 Integrals of Motion""; ""3.1.1 Bernoulli integral""; ""3.1.2 Kelvin�s Circulation Theorem""; ""3.1.3 Cauchy�Lagrange integral""; ""Exercises 7""; ""3.2 Potential Flows""; ""3.2.1 Potential flow past a sphere""; ""3.2.2 Virtual mass""

3.3 Two-Dimensional Flows3.3.1 Stream function -- Exercises 8 -- 3.4 Complex Potential -- 3.4.1 Boundary-value problem for the complex potential -- 3.4.2 Flow past a circular cylinder -- 3.4.3 Force on a cylinder -- Exercises 9 -- 3.5 The Method of Conformal Mapping -- 3.5.1 Mapping with a linear function -- 3.5.2 Conformal mapping -- 3.5.3 Mapping with the power function -- 3.5.4 Linear fractional transformation -- 3.5.5 Application to fluid dynamics -- 3.5.6 Circular cylinder with an angle of attack -- Exercises 10 -- 3.5.7 Joukovskii transformation

""3.6 Flat Plate at an Incidence""""3.7 Joukovskii Aerofoils""; ""Exercises 11""; ""3.8 Free Streamline Theory""; ""3.8.1 Kirchhoff model""; ""3.8.2 Two-dimensional inviscid jets""; ""Exercises 12""; ""4 Elements of Gasdynamics""; ""4.1 General Properties of Compressible Flows""; ""4.1.1 Euler equations for gas flows""; ""4.1.2 Piston theory""; ""4.2 Integrals of Motion""; ""4.2.1 Bernoulli�s integral""; ""4.2.2 Entropy conservation law""; ""4.2.3 Kelvin�s Circulation Theorem""; ""4.2.4 Crocco�s formula""; ""4.2.5 D�Alembert�s paradox""; ""Exercises 13""

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