FLUID MECHANICS

By O. HIDAA

CONTENTS INTRODUCTION 1 FUNDAMENTALS IN CONTINUUM MECHANICS 1 1 DYNAMICS OF FLUID MOTION 1 2 DYNAMICS IN ROTATING REFERENCE FRAME 1 3 MATERIAL OBJECTIVITY AND CONVECTIVE DERIVATIVES 1 4 DISPLACEMENT GRADIENT AND RELATIVE STRAIN 1 5 REYNOLDS’ TRANSPORT THEOREM 1 6 FORCES ON VOLUME ELEMENT EXERCISE PROBLEMS NOMENCLATURE BIBLIOGRAPHY 2 CONSERVATION EQUATIONS IN CONTINUUM MECHANICS 2 1 MASS CONSERVATION 2 2 LINEAR MOMENTUM CONSERVATION 2 3 ANGULAR MOMENTUM CONSERVATION 2 4 ENERGY CONSERVATION 2 5 THERMODYNAMIC RELATIONS 3 FLUID STATIC AND INTERFACES 3 1 FLUID STATIC 3 2 FLUID-FLUID INTERFACES 4 PERFECT FLOW 4 1 POTENTIAL AND INVISCID FLOWS 4 2 GENERAL THEORIES OF TURBOMACHINERY 4 2 1 MOMENT OF MOMENTUM THEORY 4 2 2 AIRFOIL THEORY 4 2 3 EFFICIENCY AND SIMILARITY RULES OF TURBOMACHINERY 4 2 4 CAVITATION 5 COMPRESSIBLE FLOW 5 1 SPEED OF SOUND AND MACH NUMBER 5 2 ISENTROPIC FLOW 5 3 FANNO AND RAYLEIGH LINES 5 4 NORMAL SHOCK WAVES 5 5 OBLIQUE SHOCK WAVE 6 NEWTONIAN FLOW 6 1 NAVIER-STOKES EQUATION 6 2 SIMILITUDE AND NONDIMENSIONALIZATION 6 3 BASIC FLOWS DERIVED FROM NAVIER-STOKES EQUATION 6 3 2 LUBRICATION THEORY 6 3 3 FLOW AROUND A SPHERE 6 4 FLOW THROUGH PIPE 6 4 1 ENTRANCE FLOW 6 4 2 FULLY DEVELOPED FLOW IN PIPE 6 4 3 TRANSIENT HAGEN-POISEUILLE FLOW IN PIPE 6 3 1 UNIDIRECTIONAL FLOW IN A GAP SPACE 6 5 1 FLOW OVER A FLAT PLATE 6 5 2 INTEGRAL ANALYSIS OF BOUNDARY LAYER EQUATION 6 5 3 BOUNDARY LAYER SEPARATION 6 5 4 INTEGRAL RELATION FOR THERMAL ENERGY 6 6 TURBULENT FLOW 6 6 1 TURBULENCE MODELS 6 6 2 TURBULENT HEAT TRANSFER 7 NON-NEWTONIAN FLUID AND FLOW 7 1 1 RHEOLOGICAL CLASSIFICATIONS 7 1 2 GENERALIZED NEWTONIAN FLUID FLOWS 7 2 STANDARD FLOW AND MATERIAL FUNCTIONS 7 2 1 SIMPLE SHEAR FLOW 7 2 2 SHEARFREE FLOW 7 2 3 OSCILLATORY RHEOMETRIC FLOW 7 2 4 VISCOMETRIC FLOW IN RHEOMETRY 7 3 VISCOELASTIC FLUID AND FLOW 7 3 1 LINEAR VISCOELASTIC RHEOLOGICAL EQUATIONS 7 3 2 LINEAR AND NONLINEAR VISCOELASTIC MODELS 7 3 3 VISCOELASTIC MODELS TO STANDARD FLOW AND APPLICATION TO SOME ENGINEERING FLOW PROBLEMS 7 3 3 1 UCM, CRM AND GIESEKUS EQUATIONS 7 3 3 2 UNIDIRECTIONAL BASIC FLOW PROBLEMS 6 5 LAMINAR BOUNDARY LAYER THEORY 7 1 NON-NEWTONIAN FLUIDS AND GENERALIZED NEWTONIAN FLUID FLOW 8 MAGNETIC FLUID AND FLOW 8 1 THERMOPHYSICAL PROPERTIES 8 2 FERROHYDRODYNAMIC EQUATIONS 8 3 BASIC FLOWS AND APPLICATIONS 8 3 1 GENERALIZED BERNOULLI EQUATION 8 3 2 HYDROSTATICS 8 3 3 THERMOCONVECTIVE PHENOMENA