FLUID MECHANICS chapter 1 Introduction 1.1 Definition of fluid 1.2 Type of fluid 1.3 Fluid properties Topic Outcomes • Describe the basic concepts of fluid mechanics and recognize the various types of fluid flow problems encountered in practice What is a Fluid ? • A fluid is a substance in the gaseous or liquid form • Distinction between solid and fluid? – Solid: can resist an applied shear by deforming. Stress is proportional to strain – Fluid: deforms continuously under applied shear. Stress is proportional to strain rate Solid F A Deformation of a rubber block placed between two parallel plates under the influence of a shear force. What is a fluid ? Stress: Force per unit area. Normal stress: The normal component of a force acting on a surface per unit area. Shear stress: The tangential component of a force acting on a surface per unit area. Pressure: The normal stress in a fluid at rest. Zero shear stress: A fluid at rest is at a state of zero shear stress. What is a fluid ? • A liquid takes the shape of the container it is in and forms a free surface in the presence of gravity • A gas expands until it encounters the walls of the container and fills the entire available space. Gases cannot form a free surface • Gas and vapor are often used as synonymous words Intermolecular bonds are strongest in solids and weakest in gases. Solid: The molecules in a solid are arranged in a pattern that is repeated throughout. Liquid: In liquids, molecules can rotate and translate freely. Gas: In the gas phase, the molecules are far apart from each other, and molecular ordering is nonexistent. solid liquid gas On a microscopic scale, pressure is determined by the interaction of individual gas molecules. However, we can measure the pressure on a macroscopic scale with a pressure gage. Liquid and Gas • Although liquids and gasses behave in much the same way and share many similar characteristics, they also possess distinct characteristics of their own. Specifically • -Liquid • A liquid is difficult to compress and often regarded as being incompressible. • A given mass of liquid occupies a given volume and will occupy the container it is in and form a free surface (if the container is of a larger volume). Liquid and Gas • Gas • A gas has no fixed volume, it changes volume to expand to fill the containing vessel. It will completely fill the vessel so no free surface is formed. • A gas is easily to compress and usually treated as such - it changes volume with pressure. Application Areas of Fluid Mechanics Fluid dynamics is used extensively in the design of artificial hearts. Shown here is the Penn State Electric Total Artificial Heart. 9 10 11 1–2 ■ A BRIEF HISTORY OF FLUID MECHANICS Segment of Pergamon pipeline. Each clay pipe section was 13 to 18 cm in diameter. A mine hoist powered by a reversible water wheel. 12 Osborne Reynolds’ original apparatus for demonstrating the onset of turbulence in pipes, being operated by John Lienhard at the University of Manchester in 1975. 13 The Wright brothers take flight at Kitty Hawk. Old and new wind turbine technologies north of Woodward, OK. The modern turbines have 1.6 MW capacities. 14