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Analysis of First Law of Thermodynamics P M V Subbarao Professor Mechanical Engineering Department A Law of sizing for thermodynamic Equipment…..
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The First Law of Thermodynamics Cyclic Integral of Heat Cyclic Integral of Work If a control mass undergoes a cyclic process, the cyclic integral of the heat is proportional to the cyclic integral of work.
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Need for Analysis of First Law of Thermodynamics Thermoelectric phenomenon discovered by Thomas Seebeck in 1821.
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Need for Analysis of First Law of Thermodynamics Nicolaus Ottowas's first occupation was as a traveling salesman selling tea, coffee, and sugar. He soon developed an interest in the new technologies of the day and began experimenting with building four-stroke engines. After meeting Eugen Langen, a technician and owner of a sugar factory, Otto quit his job, and in 1864, the duo started the world's first engine manufacturing company N.A. Otto & Cie (now DEUTZ AG, Köln). In 1867, the pair were awarded a Gold Medal at the Paris World Exhibition for their atmospheric gas engine built a year earlier.
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Displacement Work Devices : Spark Ignition Engine A I R Intake Stroke FUEL Ignition Power Stroke Fuel/Air Mixture Compression Stroke Combustion Products Exhaust Stroke Otto was also thinking of developing a cyclic device
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Displacement Work Devices : Spark Ignition Engine A I R Intake Stroke FUEL Ignition Power Stroke Fuel/Air Mixture Compression Stroke Combustion Products Exhaust Stroke
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Air TC BC Q in Q out Compression Process Const volume heat addition Process Expansion Process Const volume heat rejection Process Otto Cycle Active Part of the Innovation
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SI Engine for Propulsion
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Analysis of Cycles using First Law
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Relating a cycle to Processes
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Comparison of Two Cycles
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An Universal Characteristic : Independent of Path
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Any variable, which is independent of path (process) during a change of state is called as a property. Let this variable be E. E is having units of heat or work and is called as total energy of the system.
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First law for a Control Mass during a Process The change in energy of a system during a change of state is numerically equal to the algebraic sum of heat transfer during the process and the work transfer during the process. Remarks: 1.Only change of energy has been defined. 2.Zero Energy has to be expressed with respect to some arbitrary reference! 3.Q and W must be measured in same units.
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Further Remarks on Definition of Energy The Energy of a system at any state A is: E a = E ref + E. How to Define zero energy state? One popular definition: Stagnant Liquid at triple point at sea level will have zero energy. Energy is an extensive property. The energy of a system of unit mass is called as specific energy. Specific energy is an intensive property.
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Members of the Family of Energy FORMS OF ENERGY All forms of energy fall under two categories Microscopic or Macroscopic and/or Potential Energy or Kinetic Energy. Potential energy is stored energy and the energy by the virtue of state or position. Macro Potential Energy : Gravitational Energy or Strain energy. Micro Potential Energy : Chemical energy and Nuclear energy. Kinetic energy is due to motion (Motive Energy) - the motion of waves, electrons, atoms, molecules and system.
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Potential Energy CHEMICAL ENERGY : Chemical energy is the energy stored in the bonds of atoms and molecules. Biomass, petroleum, natural gas, propane and coal are examples of stored chemical energy. NUCLEAR ENERGY : Nuclear energy is the energy stored in the nucleus of an atom - the energy that holds the nucleus together. The energy of nucleus of a uranium and Thorium atoms is an example of nuclear energy. STORED MECHANICAL ENERGY : Stored mechanical energy is energy stored in objects by the application of a force. Compressed springs and stretched rubber bands are examples of stored mechanical energy. GRAVITATIONAL ENERGY : Gravitational energy is the energy of place or position. Water in a reservoir behind a hydropower dam is an example of gravitational potential energy.
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Kinetic Energy RADIANT ENERGY : Radiant energy is electromagnetic energy that travels in transverse waves. Radiant energy includes visible light, x-rays, gamma rays and radio waves. Solar energy is an example of radiant energy. THERMAL ENERGY : Thermal energy is the internal energy in substances - the vibration and movement of atoms and molecules within substances. Geothermal energy is an example of thermal energy. MOTION :The movement of objects or substances from one place to another is motion. Wind and hydropower are examples of motion. SOUND : Sound is the movement of energy through substances in longitudinal (compression/rarefaction) waves. ELECTRICAL ENERGY: Electrical energy is the movement of electrons. Lightning and electricity are examples of electrical energy.
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Change in Energy During A Process : Control Mass Q - W depends only on the initial and final states and not on the path followed between the two states. Therefore it is the differential of a property of the system. This property is the energy of the mass and is given the symbol E. Thus E = Micro Kinetic energy + Micro potential energy +Macro kinetic energy + Macro potential energy + ….. E = Internal energy +Macro kinetic energy + Macro potential energy + …..
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The first law of thermodynamics for a CM during an infinitesimal process
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A Simple Process to Increase Macroscopic Kinetic Energy
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Can we use Heat Action to Increase Kinetic Energy of A System? Should it be a control mass or Control volume or either of the two?
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WINDS WIND ENERGY CLOUDS HYDRO ENERGY VEGETATION CHEMICAL ENERGY OCEAN THERMAL ENERGY SOLAR RADIATION THERMAL WAVE VELOCITY RAINS CO 2 + H 2 O PHTOSYNTHESIS SOLAR ENERGY INCOMING RESOURCE FOSSIL FUEL COAL PETROLEUM NATURAL GAS FOSSILIZATION SUN
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The Sun provides 175 million million watts of energy to the Earth’s atmosphere each hour. Of this, approximately 1-2% is converted to wind energy.
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Global Wind Patterns
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A Process to Utilize Macroscopic Potential Energy
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