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Creation of A Better Energy Harvester !!!?!?!?! P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Harvesting of the Useful Energy of the Bountiful Fluid

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Wild Solutions to Utilize Available Energy

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The Great Thought Experiment As an English army officer, Thomas Savery was once ejected from the Lord of the Admiralty's office as a lunatic because he proposed a ship that could be propelled by side-mounted wheels rather than by wind or oars. He published a paper on Navigation Improved (1698) The three laws of motion were first compiled by Isaac Newton in his Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), first published in 1687.

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The Family of Steam Engines

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The definition of Work The term work was introduced in 1826 by the French mathematician Gaspard-Gustave Coriolis as "weight liftedthrough a height“. This is based on the use of early steam engines to lift buckets of water out of flooded ore mines.

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The Basic & Essential Cause for Generation of motive work The experts advocate an approach to action by Newton's laws. Any solid body that can generate an action on the continuously flowing fluid clearly implies that there will be a reaction on the solid body as a Newton's 3rd law reaction. From the conservation of momentum for control Volume: The exiting stream from a solid boyd is given a downward component of momentum by the solid body. To conserve momentum, something must be given an equal upward momentum to solid body. Only those bodies which can give downward momentum to exiting fluid can experience reactive force !

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Reaction leading to Torque The concept of torque, also called moment or couple, originated with the studies of Archimedes on levers. The rotational analogues: Force – Torque Mass – Inertia Acceleration -- angular acceleration

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Turbine : Harvester of Useful Fluid Energy in out T

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Acquisition of Work from Riverine Bounty

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Hydraulic Turbine : Harvester of Kinetic Energy

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The Hydro Power House

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Wind Turbine : Harvester of Kinetic Energy

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SOME TYPES OF WIND TURBINES

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Turbine : Harvester of Useful Steam Energy No heat transfer. Change in kinetic and potential energies are negligible in out T Assuming a single fluid entering and leaving…

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Macro Analysis of A Turbine A Turbine Fluid in Fluid out

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Leonhard Euler Leonhard Euler (1707-1783) was arguably the greatest mathematician of the eighteenth century. One of the most prolific writer of all time; his publication list of 886 papers and books fill about 90 volumes. Remarkably, much of this output dates from the last two decades of his life, when he was totally blind. Euler's prolific output caused a tremendous problem of backlog: the St. Petersburg Academy continued publishing his work posthumously for more than 30 years.

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Theoretical and Rigorous Work of French Bernoulli and Leonhard Euler. 1750:Euler offered a memoir containing analysis and equations for hydraulic turbines. 1754: An idealized theoretical application of Newton’s Law to centrifugal impellers. Known as Euler Equation. Did much to help the development of hydraulic machinery. 1767: Relation between Torque and Change in moment of momentum of the fluid as it passed through the machine.

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Applications of Euler’s Equation Euler equation applies to all kinds of turbomachines. Wind turbines ---- Pumps --- Gas turbines. Axial flow machines to Radial flow to Mixed flow. Energy extraction machines – Energy consuming machines. For a turbine the value of Equation is negative. For pumps, fans, blowers and compressors it is positive.

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The Superiority of Vector Parameters

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Euler’s Vision of Vector

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Order of Velocity Vectors The real flow through any turbomachine is three dimensional. Axial, Radial and Circumferential. Axi-symmetry: Inter blade row space. Axi-symmetry assumes an average value to represent the state of working fluid in the blade-to-blade plane.

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Mathematics to Innovate Blade Profile P M V Subbarao Professor Mechanical Engineering Department Also a Fluid Device, Which abridged the Globe into Global.

Mathematics to Innovate Blade Profile P M V Subbarao Professor Mechanical Engineering Department Also a Fluid Device, Which abridged the Globe into Global.

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