FLUID MECHANICS I MDB 2013 1 Course Lecturer: Dr Mhadi Abaker Ismael Email: Mhadi.abaker@utp.edu.my Phone: +605-368-7014 Office Address: Block – 18.03.15 Wed. @ 3:00PM-4:00PM Contact Hours: 2 Course Introduction Course Objectives (for Fluid Mechanics I) 1. 2. 3. 4. To introduce the concepts and behavior of fluids in complex static and flowing condition. To facilitate the application of fluid mechanics fundamentals via control volume analysis to address complex engineering problems. To present the concept of dimensional analysis in solving complex engineering problems. To guide the students on the applications of fluid mechanics concepts and fundamentals to the design of complex system involving fluid. 3 Course Introduction Learning Outcomes towards the end of this course, students should be able to: 1. 2. 3. 4. Illustrate the concepts and behavior of fluids in static and flowing condition Demonstrate the concept and applications of control volume Apply the knowledge of dimensional analysis Apply the concepts to the design of simple system involving fluid 4 Introduction to Fluid Mechanics ~ What is FLUID? ~ What is MECHANICS? 5 Introduction Mechanics: The oldest physical science that deals with both stationary and moving bodies under the influence of forces. Statics: The branch of mechanics that deals with bodies at rest. Dynamics: The branch that deals with bodies in motion. Hydrodynamics: The study of the motion of fluids that can be approximated as incompressible (such as liquids, especially water, and gases at low speeds). 6 Introduction Hydraulics: A subcategory of hydrodynamics, which deals with liquid flows in pipes and open channels. Gas dynamics: Deals with the flow of fluids that undergo significant density changes, such as the flow of gases through nozzles at high speeds. Aerodynamics: Deals with the flow of gases (especially air) over bodies such as aircraft, rockets, and automobiles at high or low speeds. 7 Fluid Mechanics - Applications Fluid dynamics is used extensively in the design of artificial hearts 8 Fluid Mechanics - Applications 9 Fluid Mechanics - Applications 10 Revision • In physics, we learnt that a substance exists in three (3) primary phases: – solid – liquid – gas How are they distinguished? 11 Revision • Intermolecular bonds Solid Solid – molecules are at relatively fixed positions Liquid Liquid – groups of molecules move about each other Gas Gas – molecules move about at random 12 Introduction • What is a fluid and how is it different from a solid? – Fluid is soft and can easily deformed – Solid is hard and not easily deformed Well-described BUT not too scientific…. • Solids are densely spaced molecules with large intermolecular cohesive forces that allow the solid to maintain its shape. • Fluids have molecules that spaced farther apart, the intermolecular forces are smaller than that of solids and the molecules have more freedom to move • Liquids • Gases 13 Introduction • Characteristics of fluids • Dimensions, Dimensional Homogeneity and Units • Analysis of Fluid Behavior • Measures of fluid mass and weight • Ideal gas law • Viscosity • Compressibility of Fluids • Vapor pressure • Surface tension 14 Introduction – Characteristics of Fluids • Solid – When common solids (e.g. steel) are acted on by a shearing stress, they will initially deform (usually very small), but will not continuously deform i.e. flow. • Fluid – A substance that deforms continuously when acted on by a shearing stress of any magnitude. – Common fluids e.g. water, oil and air satisfy this definition • Shear stress – force component that acts tangent to the area. F Surface 15 Introduction – Characteristics of Fluids • Fluid as a continuum – Fluid is treated as a continuum which means that the fluid characteristics of interest (pressure, velocity, etc.) vary continuously throughout the fluid. 16 Introduction – Dimensions, Dimensional Homogeneity, and Units • Dimensions – to characterise any physical quantity • Units – a specific system to quantify numerically the dimensions of a physical quantity • Systems of Units – Two (2) systems that are commonly used in engineering: • British Gravitational (BG) System length in foot (ft), time in second (s), force in pound (lb), temperature in Fahrenheit (°F), absolute temperature in Rankine (°R) • International System (SI) length in meter (m), time in second (s), mass in kilogram (kg), temperature in Kelvin (K) 17 Introduction – Dimensions, Dimensional Homogeneity, and Units • Primary dimensions (fundamental dimensions) Dimension Unit Length meter (m) Mass kilogram (kg) Time seconds (s) Temperature Kelvin (K) Electric current ampere (A) Amount of light candela (cd) Amount of matter mole (mol) • Secondary dimensions (derived dimensions) – expressed in terms of primary dimensions 18 Introduction – Dimensions, Dimensional Homogeneity, and Units Table 1.1.1 Prefix, Symbol and Value Prefix peta tera giga Symbol Value P T G 1015 1012 kilo M k hecto h 109 106 103 102 deka da 10 mega 19 Introduction – Dimensions, Dimensional Homogeneity, and Units Table 1.1.2 Prefix, Symbol and Value Prefix centi milli Symbol Value c m 10-2 femto μ n p f atto a micro nano pico 10-3 10-6 10-9 10-12 10-15 10-18 20 Introduction – Dimensions, Dimensional Homogeneity, and Units • Dimensional Homogeneity: – The dimensions of the left side of all theoretically derived equations must be the same as those on the right side – Example: Equation: Dimension: V = Vo + at LT-1 = LT-1 + (LT-2)T1 – Since the dimensions on the left equal to that on the right, the equation above is Dimensionally Homogeneous 21 Introduction – Dimensions, Dimensional Homogeneity, and Units Speed of sound, c c = kRT Practice 1: try to prove the unit on the right hand side of the equation is the same as that of the left hand side 22 Introduction – Analysis of Fluid Behaviour Fluid Mechanics Fluid Statics Fluid is at rest Fluid Dynamics Fluid is moving Introduction • In this lecture, students had seen… 1. The introduction to Fluid Mechanics course 2. The characteristic of fluid 3. Dimensions, Dimensional homogeneity and units in Fluid Mechanics course 4. Analysis of fluid 31