| i fundamentals . 1 the concept of the continuum and kinematics 1.1 properties of fluids; continuum hypothesis 1.2 kinematics 1.2.1 material and spatial descriptions 1.2.2 pathlines, streamlines, streaklines 1.2.3 differentiation with respect to time 1.2.4 state of motion; rate of change of line, surface and volume elements 1.2.5 rate of change of material integrals 2 fundamental laws of continuum mechanics 2.1 conservation of mass, equation of continuity 2.2 balance of momentum 2.3 balance of angular momentum 2.4 momentum and angular momentum in an accelerating frame 2.5 applications to turbomachines 2.6 balance of energy 2.7 balance of entropy 2.8 thermodynamic equations of state 3 constitutive relations for fluids 4 equations of motion for particular fluids .4.1 newtonian fluids 4.1.1 the navier-stokes equations 4.1.2 vorticity equation 4.1.3 effect of reynolds' number 4.2 inviscid fluids 4.2.1 euler's equations 4.2.2 bernoulli's equation 4.2.3 vortex theorems 4.2.4 integration of the energy equation 4.3 initial and boundary conditions 4.4 simplification of the equations of motion ii selected topics in fluid mechanics 5 hydrostatics 5.1 hydrostatic pressure distribution 5.2 hydrostatic lift, force on walls 5.3 free surfaces 6 laminar unidirectional flows 6.1 steady unidirectional flow 6.1.1 couette flow 6.1.2 couette-poiseuille flow 6.1.3 flow down an inclined plane 6.1.4 flow between rotating concentric cylinders 6.1.5 hagen-poiseuille flow 6.1.6 flow through noncircular conduits 6.2 unsteady unidirectional flows 6.2.1 flow due to a wall which oscillates in its own plane 6.2.2 flow due to a wall which is suddenly set in motion 6.3 unidirectional flows of non-newtonian fluids 6.3.1 steady flow through a circular pipe 6.3.2 steady flow between a rotating disk and a fixed wall 6.3.3 unsteady unidirectional flows of a second order fluid 6.4 unidirectional flows of a bingham material 6.4.1 channel flow of a bingham material 6.4.2 pipe flow of a bingham material 7 fundamentals of turbulent flow 7.1 stability and the onset of turbulence 7.2 reynolds' equations 7.3 turbulent shear flow near a wall 7.4 turbulent flow in smooth pipes and channels 7.5 turbulent flow in rough pipes 8 hydrodynamic lubrication 8.1 reynolds' equation of lubrication theory 8.2 statically loaded bearing .. 8.2.1 infinitely long journal bearing 8.2.2 infinitely short journal bearing 8.2.3 journal bearing of finite length 8.3 dynamically loaded bearings 8.3.1 infinitely long journal bearing 8.3.2 dynamically loaded slider bearing 8.3.3 squeeze flow of a bingham material 9 stream filament theory 9.1 incompressible flow 9.2 steady compressible flow 9.2.1 flow through pipes and ducts with varying cross-section 9.2.2 constant area flow 9.2.3 the normal shock wave relations 9.3 unsteady compressible flow 10 potential flows 10.1 one-dimensional propagation of sound 10.2 steady compressible potential flow 10.3 incompressible potential flow 10.3.1 simple examples of potential flows 10.3.2 virtual masses 10.4 plane potential flow 10.4.1 examples of incompressible, plane potential flows 10.4.2 complex potential for plane flows 10.4.3 blasius' theorem 10.4.4 kutta-joukowski theorem 10.4.5 conformal mapping 10.4.6 schwarz-christoffel transformation 10.4.7 free jets 10.4.8 flow around airfoils 10.4.9 approximate solution for slender airfoils in incom-pressible flow 10.4.10 slender airfoils in compressible flow 11 supersonic flow 11.1 oblique shock wave 11.2 detached shock wave 11.3 reflection of oblique shock waves 11.4 supersonic potential flow past slender airfoils 11.5 prandtl-meyer flow 11.6 shock expansion theory 12 boundary layer theory 12.1 solutions of the boundary layer equations 12.1.1 flat plate 12.1.2 wedge flows 12.1.3 unsteady stagnation point flow 12.1.4 flow past a body 12.2 temperature boundary layer in forced convection 12.3 temperature boundary layer in natural convection 12.4 integral methods of boundary layer theory 12.5 turbulent boundary layers a introduction to cartesian tensors a.1 summation convention a.2 cartesian tensors b curvilinear coordinates b.1 cartesian coordinates b.2 cylindrical coordinates b.3 spherical coordinates c tables and diagrams for compressible flow d physical properties of air and water bibliography index ... |
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