Fluid mechanics

Description

This text is intended for the study of fluid mechanics at an intermediate level. The presentation starts with basic concepts, in order to form a sound conceptual structure that can support engineering applications and encourage further learning. The presentation is exact, incorporating both the mathematics involved and the physics needed to understand the various phenomena in fluid mechanics. Where a didactical choice must be made between the two, the physics prevails. Throughout the book the authors have tried to reach a balance between exact presentation, intuitive grasp of new ideas, and creative applications of concepts. This approach is reflected in the examples presented in the text and in the exercises given at the end of each chapter. Subjects treated are hydrostatics, viscous flow, similitude and order of magnitude, creeping flow, potential flow, boundary layer flow, turbulent flow, compressible flow, and non-Newtonian flows. This book is ideal for advanced undergraduate students in mechanical, chemical, aerospace, and civil engineering. Solutions manual available The Field of Fluid Mechanics -- The Continuum -- Local Properties in a Continuum -- Body and Surface Forces -- Stress at a Point -- Definition of a Fluid -- Units and Dimensions -- Dimensional Homogeneity -- Fluid Properties -- Stress in a Fluid -- The Momentum Equations -- Index Notation -- Moments on a Cube -- Forces at a Point on a Plane -- The Elementary Tetrahedron -- Stress in a Fluid at Rest -- Stress in a Moving Fluid -- A Case where the Stress Is Not Constant -- The Stress Tensor -- Transformation of Coordinates--Vectors -- Transformation of Coordinates--Tensors -- Principal Directions -- Identical Principal Stresses--Pascal's Law -- Fluid Statics -- The Equation of Hydrostatics -- Manometers -- Equation of Hydrostatics in Accelerating Frames of Reference -- Forces Acting on Submerged Surfaces -- Force on a Submerged Plane Surface -- Forces on Submerged Surfaces--The General Case -- Hydrostatic Stability -- Fluids in Motion--Integral Analysis -- Thermodynamic Systems and Control Volumes -- Reynolds Transport Theorem -- Control Volume Analysis of Conservation of Mass -- Conservation of Mass under Steady State Conditions -- The Momentum Theorem for a Control Volume -- Other Forces on the Control Volume -- Angular Momentum Theorem for a Control Volume -- Correction Factor for Average Velocity in Momentum Theorem -- Fluids in Motion--Differential Analysis -- Differential Representation -- Streamlines, Stream Sheets and Stream Tubes -- The Material Derivative -- Conservation of Mass--The Equation of Continuity