CHAPTER 1 INTRODUCTION 1. 2. 3. At the end of this chapter, you should be able to: Understand the basic concepts of fluid mechanics and recognize the various type of fluid flow problems encountered in practice. Model engineering problems and solve them in a systematic manner. Have a working knowledge of accuracy, precision, and significant digits, and recognize the importance of dimensional homogeneity in engineering calculations The science that deals with the behavior of fluids at rest (fluid statics) or in motion (fluid dynamics), and the interaction of fluids with solids or other fluids at the boundaries. It is divided into several categories: Examples: hydrodynamics, hydraulics, Gas dynamics, aerodynamics etc. A substance in the liquid or gas phase is referred as FLUID In fluids, stress is proportional to strain rate. Stress=force per unit area. Normal to surface Normal stress, σ = Fn/dA (in fluid at rest, it is called pressure) Fn F Shear stress, τ = Ft/dA (for fluid at rest=0) dA Ft Force acting on area dA Tangent to surface Examples: Natural flows & weather Aircraft & spacecraft Boats Human body Piping & plumbing systems Wind turbines and many more….. Tornadoes Thunderstorm Global Climate Hurricanes 57:020 Fluid Mechanics 6 Aircraft High-speed rail Surface ships Submarines 57:020 Fluid Mechanics 7 Air pollution River hydraulics 57:020 Fluid Mechanics 8 Blood pump Ventricular assist device 57:020 Fluid Mechanics 9 Water sports Auto racing Cycling Offshore racing Surfing 57:020 Fluid Mechanics 10 Uniform approach velocity, V Relative velocities of fluid layers Zero velocity at the surface Plate A fluid in motion comes to a complete stop at the surface and assumes a zero velocity relatives to the surface. Fluid in direct contact with solid “sticks” to the surface due to viscous effect, and there is no slip. Viscous vs inviscid regions of flow Viscosity -a measure of internal stickiness of fluid Viscous flow region–significant frictional effect Inviscid flow region – negligible viscous forces B. Internal vs external flow C. Compressible vs incompressible A. Incompressible flow – almost constant density throughout fluid Compressible flow gas Question:Can gas flow be treated as incompressible flow? Answer: depends on the Mach number (Ma = V/c ); usually when Ma<0.3 D. Laminar vs turbulent flow Determined by Reynolds number, Re Re < 2000 (laminar); Re > 6000 (turbulent); between laminar and turbulent is transitional E. Natural (or unforced) vs forced flow F. Steady vs unsteady flow Steady = no change at a point of time Transient = typically used for developing flows,( e.g. pressure build up inside rocket engine, until it operates steadily) Good luck! 1) 2) 3) 4) What is fluid? Stress is force per unit area. Name 2 types of stress in fluid and their equations. Give 3 examples of application areas of fluid mechanics. Please explain about the “no-slip condition”. You have 10 minutes. TQ!