ME314 THERMODYNAMICS 1 BASIC PRINCIPLES, CONCEPTS AND DEFINITIONS (1 of 2) Objectives • Identify the unique vocabulary associated with thermodynamics through the precise definition of basic concepts to form a sound foundation for the development of the principles of thermodynamics. • Review the metric SI and the English unit systems. • Review concepts of temperature, temperature scales, pressure, and absolute and gage pressure. • Explain the basic concepts of thermodynamics such as system, state, state postulate, equilibrium, process, and cycle. 2 THERMODYNAMICS AND ENERGY • Thermodynamics: the science that deals with the concept of energy, the laws governing conversion of one form of energy into another, and the various media employed to effect the transformation • Energy: The ability to cause changes. • The name thermodynamics stems from the Greek words therme (heat) and dynamis (power). • Conservation of energy principle: During an interaction, energy can change from one form to another but the total amount of energy remains constant. • Energy cannot be created or destroyed. • The first law of thermodynamics: An expression of the conservation of energy principle. • The first law asserts that energy is a thermodynamic property. Energy cannot be created or destroyed; it can only change forms (the first law). 3 • The second law of thermodynamics: It asserts that energy has quality as well as quantity, and actual processes occur in the direction of decreasing quality of energy. • Classical thermodynamics: A macroscopic approach to the study of thermodynamics that does not require a knowledge of the behavior of individual particles. • It provides a direct and easy way to the solution of engineering problems and it is used in this text. • Statistical thermodynamics: A microscopic approach, based on the average behavior of large groups of individual particles. • It is used in this text only in the supporting role. Conservation of energy principle for the human body. Heat flows in the direction of decreasing temperature. 4 HISTORY • Although the principles of thermodynamics have been in existence since the creation of the universe, thermodynamics did not emerge as a science until the construction of the first successful atmospheric steam engines in England by Thomas Savery in 1697 and Thomas Newcomen in 1712. These engines were very slow and inefficient, but they opened the way for the development of a new science. • The first and second laws of thermodynamics emerged simultaneously in the 1850s, primarily out of the works of William Rankine, Rudolph Clausius, and Lord Kelvin (formerly William Thomson). • The term thermodynamics first used in a publication by Lord Kelvin in 1849. • The first thermodynamic textbook was written in 1859 by William Rankine, a professor at the University of Glasgow. Application Areas of Thermodynamics 6 Application Areas of Thermodynamics • Automobile engines • Turbines • Compressors, pumps • Fossil- and nuclear-fueled power stations • Propulsion systems for aircraft and rockets • Combustion systems • Cryogenic systems, gas separation, and liquefaction • Heating, ventilating, and air-conditioning systems • Vapor compression and absorption refrigeration • Heat pumps (CONT.) Application Areas of Thermodynamics •Cooling of electronic equipment •Alternative energy systems •Fuel cells •Thermoelectric and thermionic devices •Magnetohydrodynamic (MHD) converters •Solar-activated heating, cooling, and power generation •Geothermal systems •Ocean thermal, wave, and tidal power generation •Wind power •Biomedical applications IMPORTANCE OF DIMENSIONS AND UNITS • Dimensions - characterize any physical quantity. • Units -the magnitudes assigned to the dimensions. • Primary or fundamental dimensions -some basic dimensions such as mass m, length L, time t, and temperature T. • Secondary dimensions, or derived dimensions. - are expressed in terms of the primary dimension, such as velocity V, energy E, and volume V. 9 2 sets of units are still in common use today: Metric SI system: A simple and logical system based on a decimal relationship between the various units. English system: It has no apparent systematic numerical base, and various units in this system are related to each other rather arbitrarily. 1. English system, which is also known as the United States Customary System (USCS) fps system: (foot-pound-second) 2. Metric SI (from Le Système International d’ Unités), which is also known as the International System. mks system: (meter-kilogram-second) cgs system: (centimeter-gram-second) MASS, FORCE AND WEIGHT Mass – the aggregation of matter in a body/substance Force – the interaction which causes the body with mass to change its velocity (which causes the mass to accelerate) Weight – It is the gravitational force applied to a body, and its magnitude is determined from Newton’s second law Newton’s Second Law of Motion “The acceleration of a body is parallel, and is directly proportional to the net force applied, and inversely to its mass.” GRAVITATIONAL ACCELERATION acceleration (rate of change of velocity) net force weight (towards the center of the earth) EARTH UNITS OF MASS AND FORCE System mass force SI mks cgs fps Imperial kilogram kilogram gram pound slug (kg) (kg) (g) (lbm) (slug) newton newton dyne pound pound (N) (N) (dyn) (lbf) (lbf) kilogram-force gram-force poundal (kgf) (gf) (pdl) GRAPHIC ILLUSTRATION OF FORCES GRAPHIC ILLUSTRATION OF WEIGHT 9.81 981 • Weight , W = mg where: m = mass g = local gravitational accelaration = 32.2 ft/s² or 9.81 m/s² 32.2 Some SI and English Units The SI unit prefixes are used in all branches of engineering. 32. 2 32. 2 The definition of the force units. 16 A body weighing 60 kgf on earth will weigh only 10 kgf on the moon. *g of moon = 1.625 m/s2 W weight m mass g gravitational acceleration The relative magnitudes of the force units newton (N), kilogramforce (kgf), and pound-force (lbf). 17 The weight of a unit mass at sea level. 9.81 9.81 9.81 32. 2 32. 2 Prove that: 1 kgf = 1 kgm and 1lbf = 1lbm at sea level Work can simply be defined as force times distance; therefore, it has the unit “newton-meter (N·m),” which is called a joule (J). That is, 1 N·m = 1 J Work SI units: kilojoule (1 kJ = 10³ J). 1 calorie (cal.) - the amount of energy needed to raise the temperature of 1 g of water at 14.5°C by 1°C. 1 cal = 4.1868 J English system: Btu (British thermal unit) 1 Btu - energy required to raise the temperature of 1 lbm of water at 68°F by 1°F. 1 Btu = 1.055 kJ. Here is a good way to get a feel for these units: If you light a typical match and let it burn itself out, it yields approximately one Btu (or one kJ) of energy. Power Power is defined as the time rate of energy •unit of Power: joule/second = Watt 1 J/s = 1 W 1 horsepower = 746 watts 1 hp = 746 W **Electrical energy typically is expressed in the unit kilowatt-hour (kWh), which is equivalent to 3600 kJ. An electric appliance with a rated power of 1 kW consumes 1 kWh of electricity when running continuously for one hour. (1 kWh = 3600 kJ) Example: Electric Power Generation by a Wind Turbine • A school is paying $0.12/kWh for electric power. To reduce its power bill, the school installs a wind turbine with a rated power of 30 kW. If the turbine operates 2200 hours per year at the rated power, determine the amount of electric power generated by the wind turbine and the money saved by the school per year. • SOLUTION A wind turbine is installed to generate electricity. The amount of electric energy generated and the money saved per year are to be determined. • Analysis The wind turbine generates electric energy at a rate of 30 kW or 30 kJ/s. Then the total amount of electric energy generated per year becomes: Total energy = (Energy per unit time)(Time interval) = (30 kW)(2200 h) = 66,000 kWh The money saved per year is the monetary value of this energy determined as: Money saved = (Total energy)(Unit cost of energy) = (66,000 kWh)($0.12/kWh) = $7920 •The annual electric energy production also could be determined in kJ by unit manipulations as Total energy = (30 kW)(2200 h) (3600 s/1 h)(1 kJ/s / 1 kW) = 2.38 x 108 kJ which is equivalent to 66,000 kWh (1 kWh = 3600 kJ). Unity Conversion Ratios All nonprimary units (secondary units) can be formed by combinations of primary units. Force units, for example, can be expressed as They can also be expressed more conveniently as unity conversion ratios as Unity conversion ratios are identically equal to 1 and are unitless, and thus such ratios (or their inverses) can be inserted conveniently into any calculation to properly convert units. 24 Some of commonly used Unity Conversion 32.2 DENSITY AND SPECIFIC GRAVITY 1. Density: mass per unit volume 2. Specific gravity: The ratio of the density of a substance to the density of some standard substance at a specified temperature (usually water at 4°C). 3. Specific volume: -reciprocal of density - volume per unit mass 4. Specific weight: The weight of a unit volume of a substance. Density is mass per unit volume; specific volume is volume per unit mass. 26 SPECIFIC GRAVITY TEMPERATURE AND THE ZEROTH LAW OF THERMODYNAMICS • The zeroth law of thermodynamics: “If two bodies are in thermal equilibrium with a third body, they are also in thermal equilibrium with each other.” • By replacing the third body with a thermometer, the zeroth law can be restated as two bodies are in thermal equilibrium if both have the same temperature reading even if they are not in contact. • Temperature - a measure of “hotness” or “coldness” - a physical property that determines whether the bodies will be in thermal equilibrium. We may postulate that when the two blocks are in thermal equilibrium, their temperatures are equal. Two bodies reaching thermal equilibrium after being brought into contact in an isolated enclosure. 28 Temperature Scales All temperature scales are based on some easily reproducible states such as the freezing and boiling points of water: the ice point and the steam point. •Ice point:(0°C or 32°F) A mixture of ice and water that is in equilibrium with air saturated with vapor at 1 atm pressure . •Steam point: (100°C or 212°F) A mixture of liquid water and water vapor (with no air) in equilibrium at 1 atm pressure . •Celsius scale: in SI unit system •Fahrenheit scale: in English unit system THERMODYNAMIC TEMPERATURE SCALE A temperature scale that is independent of the properties of any substance. •Kelvin scale (SI) and Rankine scale (English) 29 273 460 Comparison of temperature scales. • • The reference temperature in the original Kelvin scale was the ice point, 273.15 K, which is the temperature at which water freezes (or ice melts). The reference point was changed to a much more precisely reproducible point, the triple point of water (the state at which all three phases of water coexist in equilibrium), which is assigned the value 273.16 K. 30 Example: Expressing Temperature Rise in Different Units During a heating process, the temperature of a system rises by 10°C. Express this rise in temperature in K, °F, and R. SOLUTION: ΔT(°C) = ΔT(K) = 10 K ΔT(R) = 1.8 ΔT(K) = (1.8)(10) = 18 R ΔT(°F) = ΔT(R) = 18°F The units °C and K are interchangeable when dealing with temperature differences. PRESSURE A normal force exerted by a fluid per unit area Some basic pressure gages. The normal stress (or “pressure”) on the feet of a chubby person is much greater than on the feet of a slim person. 32 • • • Absolute pressure: The actual pressure at a given position. It is measured relative to absolute vacuum (i.e., absolute zero pressure). Gage pressure: The difference between the absolute pressure and the local atmospheric pressure. Most pressure-measuring devices are calibrated to read zero in the atmosphere, and so they indicate gage pressure. Vacuum pressures: Pressures below atmospheric pressure. Throughout this text, the pressure P will denote absolute pressure unless specified otherwise. 33 EXAMPLE • Express a pressure gage reading of 35 psi in absolute pascals. 101.325 kPa = 241 kPa 35 psi 14.7 psi P = ( 241 + 101.325) kPa P = 341.325 kPa PRESSURE CONVERSION TABLE Variation of Pressure with Depth The pressure of a fluid at rest increases with depth (as a result of added weight). 37 In a room filled with a gas, the variation of pressure with height is negligible. Pressure in a liquid at rest increases linearly with distance from the free surface. The pressure is the same at all points on a horizontal plane in a given fluid regardless of geometry, provided that the points are interconnected by the same fluid. 38 Pascal’s law: The pressure applied to a confined fluid increases the pressure throughout by the same amount. where: A2/A1 is the ideal mechanical advantage of the hydraulic lift. Lifting of a large weight by a small force by the application of Pascal’s law. 39 The Manometer It is commonly used to measure small and moderate pressure differences. A manometer contains one or more fluids such as mercury, water, alcohol, or oil. The basic manometer . Measuring the pressure drop across a flow section or a flow device by a differential manometer. 40 In stacked-up fluid layers, the pressure change across a fluid layer of density and height h is gh. Other Pressure Measurement Devices • Bourdon tube: Consists of a hollow metal tube bent like a hook whose end is closed and connected to a dial indicator needle. • Pressure transducers: Use various techniques to convert the pressure effect to an electrical effect such as a change in voltage, resistance, or capacitance. • Pressure transducers are smaller and faster, and they can be more sensitive, reliable, and precise than their mechanical counterparts. • Strain-gage pressure transducers: Work by having a diaphragm deflect between two chambers open to the pressure inputs. • Piezoelectric transducers: Also called solidstate pressure transducers, work on the principle that an electric potential is generated in a crystalline substance when it is subjected to mechanical pressure. Various types of Bourdon tubes used to measure pressure. 42 THE BAROMETER AND ATMOSPHERIC PRESSURE • Atmospheric pressure is measured by a device called a barometer; thus, the atmospheric pressure is often referred to as the barometric pressure. • A frequently used pressure unit is the standard atmosphere, which is defined as the pressure produced by a column of mercury 760 mm in height at 0°C (Hg = 13,595 kg/m3) under standard gravitational acceleration (g = 9.807 m/s2). The length or the cross-sectional area of the tube has no effect on the height of the fluid column of a barometer, provided that the tube diameter is large enough to avoid surface tension (capillary) effects. The basic barometer. 43 Example: Measuring Atmospheric Pressure with a Barometer • Determine the atmospheric pressure at a location where the barometric reading is 740 mmHg and the gravitational acceleration is g = 9.805 m/s². Assume the temperature of mercury to be 10°C, at which its density is 13,570 kg/m³. SOLUTION Patm = ρgh = (13,570 kg/m³)(9.805 m/s²)(0.740 m)(1 N / 1 kg·m/s²)(1 kPa / 1000 N/m²) = 98.5 kPa EXAMPLE Calculate the force due to the pressure acting on the 1-m-diameter horizontal hatch of a submarine submerged 600 m below the surface. Solution: END OF PART 1