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Euler's Pump And Turbine Equation
The Euler pump and turbine equations are the most fundamental equations in the field of turbo-machinery, turbomachinery. These equations govern the power, efficiencies and other factors that contribute to the design of turbomachines. With the help of these equations the Hydraulic head, head developed by a pump and the head utilised by a turbine can be easily determined. As the name suggests these equations were formulated by Leonhard Euler in the eighteenth century. These equations can be derived from the moment of momentum equation when applied for a pump or a turbine. Conservation of angular momentum A consequence of Newton's second law of mechanics is the conservation of the angular momentum (or the “moment of momentum”) which is fundamental to all turbomachines. Accordingly, the change of the angular momentum is equal to the sum of the external moments. The variation of angular momentum \rho\cdot Q\cdot r\cdot c_u at inlet and outlet, an external torque M and friction mom ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pump
A pump is a device that moves fluids (liquids or gases), or sometimes slurries, by mechanical action, typically converted from electrical energy into hydraulic energy. Pumps can be classified into three major groups according to the method they use to move the fluid: ''direct lift'', ''displacement'', and ''gravity'' pumps. Mechanical pumps serve in a wide range of applications such as pumping water from wells, aquarium filtering, pond filtering and aeration, in the car industry for water-cooling and fuel injection, in the energy industry for pumping oil and natural gas or for operating cooling towers and other components of heating, ventilation and air conditioning systems. In the medical industry, pumps are used for biochemical processes in developing and manufacturing medicine, and as artificial replacements for body parts, in particular the artificial heart and penile prosthesis. When a casing contains only one revolving impeller, it is called a single-stage pump. Whe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Velocity Triangle
In turbomachinery, a velocity triangle or a velocity diagram is a triangle representing the various components of velocities of the working fluid in a turbomachine. Velocity triangles may be drawn for both the inlet and outlet sections of any turbomachine. The vector nature of velocity is utilized in the triangles, and the most basic form of a velocity triangle consists of the tangential velocity, the absolute velocity and the relative velocity of the fluid making up three sides of the triangle. Velocities involved A general velocity triangle consists of the following vectors: *''V'' : Absolute velocity of the fluid. *''U'' : Blade Linear velocity. *''Vr'': Relative velocity of the fluid after contact with rotor Rotor may refer to: Science and technology Engineering *Rotor (electric), the non-stationary part of an alternator or electric motor, operating with a stationary element so called the stator * Helicopter rotor, the rotary wing(s) of a rotorcraft .... *''Vw'': Tangential ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ventilation Fans
Ventilation may refer to: * Ventilation (physiology), the movement of air between the environment and the lungs via inhalation and exhalation ** Mechanical ventilation, in medicine, using artificial methods to assist breathing *** Ventilator, a machine designed to move breathable air into and out of the lungs * Ventilation (architecture), the process of "changing" or replacing air in any space to provide high indoor air quality * Ventilation (firefighting), the expulsion of heat and smoke from a fire building * Ventilation (mining), flow of air to the underground workings of a mine of sufficient volume to dilute and remove noxious gases See also * Heating, ventilation, and air conditioning, the technology of indoor and vehicular environmental comfort * Mechanical fan * Reebok Ventilator Reebok Ventilator is a line of athletic shoes by Reebok. The footwear was first introduced in 1990 as a lightweight sneaker with vented side panels. The Ventilators focused on "breathability" wi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gas Compressors
A compressor is a mechanical device that increases the pressure of a gas by reducing its volume. An air compressor is a specific type of gas compressor. Compressors are similar to pumps: both increase the pressure on a fluid and both can transport the fluid through a pipe. The main distinction is that the focus of a compressor is to change the density or volume of the fluid, which is mostly only achievable on gases. Gases are compressible, while liquids are relatively incompressible, so compressors are rarely used for liquids. The main action of a pump is to pressurize and transport liquids. Many compressors can be staged, that is, the fluid is compressed several times in steps or stages, to increase discharge pressure. Often, the second stage is physically smaller than the primary stage, to accommodate the already compressed gas without reducing its pressure. Each stage further compresses the gas and increases its pressure and also temperature (if inter cooling between stages i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pumps
A pump is a device that moves fluids (liquids or gases), or sometimes slurries, by mechanical action, typically converted from electrical energy into hydraulic energy. Pumps can be classified into three major groups according to the method they use to move the fluid: ''direct lift'', ''displacement'', and ''gravity'' pumps. Mechanical pumps serve in a wide range of applications such as pumping water from wells, aquarium filtering, pond filtering and aeration, in the car industry for water-cooling and fuel injection, in the energy industry for pumping oil and natural gas or for operating cooling towers and other components of heating, ventilation and air conditioning systems. In the medical industry, pumps are used for biochemical processes in developing and manufacturing medicine, and as artificial replacements for body parts, in particular the artificial heart and penile prosthesis. When a casing contains only one revolving impeller, it is called a single-stage pump. When ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Turbines
A turbine ( or ) (from the Greek , ''tyrbē'', or Latin ''turbo'', meaning vortex) is a rotary mechanical device that extracts energy from a fluid flow and converts it into useful Work (physics), work. The work produced by a turbine can be used for generating electrical power when combined with a electric generator, generator.Munson, Bruce Roy, T. H. Okiishi, and Wade W. Huebsch. "Turbomachines." Fundamentals of Fluid Mechanics. 6th ed. Hoboken, NJ: J. Wiley & Sons, 2009. Print. A turbine is a turbomachinery, turbomachine with at least one moving part called a rotor assembly, which is a shaft or drum with Turbine blade, blades attached. Moving fluid acts on the blades so that they move and impart rotational energy to the rotor. Early turbine examples are windmills and waterwheels. Gas turbine, Gas, steam turbine, steam, and water turbine, water turbines have a casing around the blades that contains and controls the working fluid. Credit for invention of the steam turbine is given ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rothalpy
Rothalpy (or trothalpy) I, a short name of rotational stagnation enthalpy, is a Fluid mechanics, fluid mechanical property of importance in the study of flow within rotating systems. Concept Consider we have an inertial frame of reference XYZ and a Rotating reference frame, rotating frame of reference xyz which both are sharing common origin O. Assume that frame xyz is rotating around a fixed axis with angular velocity \mathbf . Now assuming fluid velocity to be \mathbf and fluid velocity relative to rotating frame of reference to be \mathbf =\mathbf -\mathbf : Rothalpy of a fluid point P can be defined as I=h_-\frac where \mathbf =\mathbf \times\mathbf and \mathbf =\vec and h_ is the stagnation enthalpy of fluid point P relative to the rotating frame of reference xyz, which is given by h_=h+\frac and is known as relative stagnation enthalpy. Rothalpy can also be defined in terms of absolute stagnation enthalpy: I=h_0-uV_\theta where V_\theta is tangential component of f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Topics Named After Leonhard Euler
200px, Leonhard Euler (1707–1783) In mathematics and physics, many topics are named in honor of Swiss mathematician Leonhard Euler (1707–1783), who made many important discoveries and innovations. Many of these items named after Euler include their own unique function, equation, formula, identity, number (single or sequence), or other mathematical entity. Many of these entities have been given simple and ambiguous names such as Euler's function, Euler's equation, and Euler's formula. Euler's work touched upon so many fields that he is often the earliest written reference on a given matter. In an effort to avoid naming everything after Euler, some discoveries and theorems are attributed to the first person to have proved them ''after'' Euler. Conjectures *Euler's conjecture (Waring's problem) *Euler's sum of powers conjecture * Euler's Graeco-Latin square conjecture Equations Usually, ''Euler's equation'' refers to one of (or a set of) differential equations (DEs). It is cus ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Euler Equations (fluid Dynamics)
In fluid dynamics, the Euler equations are a set of quasilinear partial differential equations governing adiabatic and inviscid flow. They are named after Leonhard Euler. In particular, they correspond to the Navier–Stokes equations with zero viscosity and zero thermal conductivity. The Euler equations can be applied to incompressible or compressible flow. The incompressible Euler equations consist of Cauchy equations for conservation of mass and balance of momentum, together with the incompressibility condition that the flow velocity is a solenoidal field. The compressible Euler equations consist of equations for conservation of mass, balance of momentum, and balance of energy, together with a suitable constitutive equation for the specific energy density of the fluid. Historically, only the equations of conservation of mass and balance of momentum were derived by Euler. However, fluid dynamics literature often refers to the full set of the compressible Euler equations – ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rothalpy
Rothalpy (or trothalpy) I, a short name of rotational stagnation enthalpy, is a Fluid mechanics, fluid mechanical property of importance in the study of flow within rotating systems. Concept Consider we have an inertial frame of reference XYZ and a Rotating reference frame, rotating frame of reference xyz which both are sharing common origin O. Assume that frame xyz is rotating around a fixed axis with angular velocity \mathbf . Now assuming fluid velocity to be \mathbf and fluid velocity relative to rotating frame of reference to be \mathbf =\mathbf -\mathbf : Rothalpy of a fluid point P can be defined as I=h_-\frac where \mathbf =\mathbf \times\mathbf and \mathbf =\vec and h_ is the stagnation enthalpy of fluid point P relative to the rotating frame of reference xyz, which is given by h_=h+\frac and is known as relative stagnation enthalpy. Rothalpy can also be defined in terms of absolute stagnation enthalpy: I=h_0-uV_\theta where V_\theta is tangential component of f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pelton Turbine
The Pelton wheel or Pelton Turbine is an impulse-type water turbine invented by American inventor Lester Allan Pelton in the 1870s. The Pelton wheel extracts energy from the impulse of moving water, as opposed to water's dead weight like the traditional overshot water wheel. Many earlier variations of impulse turbines existed, but they were less efficient than Pelton's design. Water leaving those wheels typically still had high speed, carrying away much of the dynamic energy brought to the wheels. Pelton's paddle geometry was designed so that when the rim ran at half the speed of the water jet, the water left the wheel with very little speed; thus his design extracted almost all of the water's impulse energywhich made for a very efficient turbine. History file:Pelton wheel (patent).png, Figure from Lester Allan Pelton's original October 1880 patent Lester Allan Pelton was born in Vermillion, Ohio in 1829. In 1850, he traveled overland to take part in the California Gold Rush. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
