Call number:
AWI A6-98-0380
Description / Table of Contents:
This successful textbook describing the fundamentals of the physics of real fluids makes accessible to students the understanding of common flow systems and flow phenomena which has been obtained from research over the past 50 years. It is intended for systematic use by both undergraduates and beginning graduate students of applied mathematics and engineering. The book assumes no previous knowledge of fluid dynamics, and the material in it has been selected to introduce a reader to the important ideas and applications. The emphasis throughout is on physical principles and generalities of fluid dynamics. Particular attention is paid to the correspondence between observation and the various conceptual and analytical models of flow systems. Many photographs of flow fields are included. The first three chapters prepare the ground for a discussion of any branch of fluid dynamics, and describe the physical properties of fluids, kinematics of flow fields, and the governing equations in general form. Chapters 4 to 7 are all concerned with the motion of a uniform incompressible viscous fluid, this subject being at the centre of fluid dynamics by virtue of its fundamental nature and practical importance. An unconventional feature of the book is that the motion of viscous fluid and the properties of flow at high Reynolds number are considered first; the circumstances in which the viscosity may safely be assumed to be zero are thus made clear before the detailed discussion of motion of an inviscid fluid. Irrotational flow theory and its many applications are then described, and the last chapter is concerned with rotational flow of effectively inviscid fluid, with examples drawn from geophysics, aeronautics, and other fields.
Type of Medium:
Monograph available for loan
Pages:
615 Seiten
Edition:
Reprinted
ISBN:
0521098173
Language:
English
Note:
CONTENTS: Preface page. - Conventions and Notation. - Chapter 1. The Physical Properties of Fluids. - 1.1 Solids, liquids and gases. - 1.2 The continuum hypothesis. - 1.3 Volume forces and surface forces acting on a fluid. - Representation of surface forces by the stress tensor. - The stress tensor in a fluid at rest. - 1.4 Mechanical equilibrium of a fluid. - A body 'floating' in fluid at rest. - Fluid at rest under gravity. - 1.5 Classical thermodynamics. - 1.6 Transport phenomena. - The linear relation between flux and the gradient of a scalar intensity. - The equations for diffusion and heat conduction in isotropic media at rest, Molecular transport of momentum in a fluid. - 1.7 The distinctive properties of gases. - A perfect gas in equilibrium. - Departures from the perfect-gas laws. - Transport coefficients in a perfect gas. - Other manifestations of departure from equilibrium of a perfect gas. - 1.8 The distinctive properties of liquids. - Equilibrium properties. - Transport coefficients. - 1.9 Conditions at a boundary between two media. - Surface tension. - Equilibrium shape of a boundary between two stationary fluids. - Transition relations at a material boundary. - Chapter 2. Kinematics of the Flow Field. - 2.1 Specification of the flow field. - Differentiation following the motion of the fluid. - 2.2 Conservation of mass. - Use of a stream function to satisfy the mass-conservation equation. - 2.3 Analysis of the relative motion near a point. - Simple shearing motion. - 2.4 Expression for the velocity distribution with specified rate of expansion and vorticity. - 2.5 Singularities in the rate of expansion. Sources and sinks. - 2.6 The vorticity distribution. - Line vortices. - Sheet vortices. - 2.7 Velocity distributions with zero rate of expansion and zero vorticity. - Conditions for Δϕ to be determined uniquely. - lrrotational solenoidal flow near a stagnation point. - The complex potential for irrotational solenoidal flow in two dimensions. - 2.8 Irrotational solenoidal flow in doubly-connected regions of space. - Conditions for Δϕ to be determined uniquely. - 2.9 Three-dimensional flow fields extending to infinity. - Asymptotic expressions for ue and uv. - The behaviour of ϕ at large distances. - Conditions for Δϕ to be determined uniquely. - The expression of ϕ as a power series. - Irrotational solenoidal flow due to a rigid body in translational motion. - 2.10 Two-dimensional flow fields extending to infinity. - lrrotational solenoidal flow due to a rigid body in translational motion. - Chapter 3. Equations Governing the Motion of a Fluid. - 3.1 Material integrals in a moving fluid. - Rates of change of material integrals. - Conservation laws for a fluid in motion. - 3.2 The equation of motion. - Use of the momentum equation in integral form. - Equation of motion relative to moving axes. - 3.3 The expression for the stress tensor. - Mechanical definition of pressure in a moving fluid. - The relation between deviatoric stress and rate-of-strain for a Newtonian fluid. - The Navier-Stokes equation. - Conditions on the velocity and stress at a material boundary. - 3.4 Changes in the internal energy of a fluid in motion. - 3.5 Bernoulli's theorem for steady flow of a frictionless non-conducting fluid. - Special forms of Bemoulli's theorem. - Constancy of H across a transition region in one-dimensional steady flow. - 3.6 The complete set of equations governing fluid flow. - Isentropic flow. - Conditions for the velocity distribution to be approximately solenoidal. - 3.7 Concluding remarks to chapters 1, 2 and 3. - Chapter 4. Flow of a Uniform Incompressible Viscous Fluid. - 4.1 Introduction. - Modification of the pressure to allow for the effect of the body force. - 4.2 Steady unidirectional flow. - Poiseuille flow. - Tubes of non-circular cross-section. - Two-dimensional flow. - A model of a paint-brush. - A remark on stability. - 4.3 Unsteady unidirectional flow. - The smoothing-out of a discontinuity in velocity at a plane. - Plane boundary moved suddenly in a fluid at rest. - One rigid boundary moved suddenly and one held stationary. - Flow due to an oscillating plane boundary. - Starting flow in a pipe. - 4.4 The Ekman layer at a boundary in a rotating fluid. - The layer at a free surface. - The layer at a rigid plane boundary. - 4.5 Flow with circular streamlines. - 4.6 The steady jet from a point source of momentum. - 4.7 Dynamical similarity and the Reynolds number. - Other dimensionless parameters having dynamical significance. - 4.8 Flow fields in which inertia forces are negligible. - Flow in slowly-varying channels. - Lubrication theory. - The Hele-Shaw cell. - Percolation through porous media. - Two-dimensional flow in a corner. - Uniqueness and minimum dissipation theorems. - 4.9 Flow due to a moving body at small Reynolds number. - A rigid sphere. - A spherical drop of a different fluid. - A body of arbitrary shape. - 4.10 Oseen's improvement of the equation for flow due to moving bodies at small Reynolds number. - A rigid sphere. - A rigid circular cylinder. - 4.11 The viscosity of a dilute suspension of small particles. - The flow due to a sphere embedded in a pure straining motion. - The increased rate of dissipation in an incompressible suspension. - The effective expansion viscosity of a liquid containing gas bubbles. - 4.12 Changes in the flow due to moving bodies as R increases from 1 to about 100. - Chapter 5. Flow at Large Reynolds Number: Effects of Viscosity. - 5.1 Introduction. - 5.2 Vorticity dynamics. - The intensification of vorticity by extension of vortex-lines. - 5.3 Kelvin's circulation theorem and vorticity laws for an inviscid fluid. - The persistence of irrotationality. - 5.4 The source of vorticity in motions generated from rest. - 5.5 Steady flows in which vorticity generated at a solid surface is prevented by convection from diffusing far away from it. - (a) Flow along plane and circular walls with suction through the wall. - (b) Flow toward a 'stagnation point' at a rigid boundary. - (c) Centrifugal flow due to a rotating disk. - 5.6 Steady two-dimensional flow in a converging or diverging channel. - Purely convergent flow. - Purely divergent flow. - Solutions showing both outflow and inflow. - 5.7 Boundary layers. - 5.8 The boundary layer on a flat plate. - 5.9 The effects of acceleration and deceleration of the external stream. - The similarity solution for an external stream velocity proportional to x^m. - Calculation of the steady boundary layer on a body moving through fluid. - Growth of the boundary layer in initially irrotational flow. - 5.10 Separation of the boundary layer. - 5.11 The flow due to bodies moving steadily through fluid. - Flow without separation. - Flow with separation. - 5.12 Jets, free shear layers and wakes. - Narrow jets. - Free shear layers. - Wakes. - 5.13 Oscillatory boundary layers. - The damping force on an oscillating body. - Steady streaming due to an oscillatory boundary layer. - Applications of the theory of steady streaming. - 5.14 Flow systems with a free surface page. - The boundary layer at a free surface. - The drag on a spherical gas bubble rising steadily through liquid. - The attenuation of gravity waves. - 5.15 Examples of use of the momentum theorem. - The force on a regular array of bodies in a stream. - The effect of a sudden enlargement of a pipe. - Chapter 6. Irrotational Flow Theory and its Applications. - 6.1 The role of the theory of flow of an inviscid fluid. - 6.2 General properties of irrotational flow. - Integration of the equation of motion. - Expressions for the kinetic energy in terms of surface integrals. - Kelvin's minimum energy theorem. - Positions of a maximum of q and a minimum of p. - Local variation of the velocity magnitude. - 6.3 Steady flow : some applications of Bernoulli's theorem and the momentum theorem. - Efflux from a circular orifice in an open vessel. - Flow over a weir. - Jet of liquid impinging on a plane wall. - lrro
Location:
AWI Reading room
Branch Library:
AWI Library
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