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Note for Basics of Mechanical Engineering - BME By ABHISHEK ARYA

  • Basics of Mechanical Engineering - BME
  • Note
  • Rajiv Gandhi Proudyogiki Vishwavidyalaya Bhopal - rgpv
  • Mechanical Engineering
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Measurement / 31 are moving. Temperature is measured in degrees on the Fahrenheit, Celsius and Kelvin scales. Thermometric Property : It is the measurable property that changes with respect to temperature change. Example : In Mercury thermometer, in this thermometer the thermometric property is length (Expansion or contraction). With rise in temperature the mercury level rises in the glass, i.e. change in length. Measurement of Temperature : The temperature measurement means measurement of any one of thermometric property of the sensing device. The thermometric property may be pressure, volume, resistance, length, brightness, etc. Following are the temperature measurement devices having different thermometric property. S. No. Thermometer Thermometric Property 1. 2. 3. 4. 5. 6. 7. Mercury thermometer Constant volume gas thermometer Constant pressure gas thermometer Thermocouple Radiation pyrometer Optical pyrometer Electrical resistance thermometer Length Pressure Volume Electrical potential Radiation energy Brightness Resistance Pressure : It is the force exerted by the fluid on unit area perpendicular to it. Pressure = Force Area It is usually expressed in Pascal (Pa = N/m2) Measurement of pressure : Many techniques have been developed for the measurement of pressure. Instruments used to measure pressure are called pressure gauges. Pressure is also measured by instruments like Piezometer, Manometers, Bourdon Pressure gauge, Pressure transducers etc. 1. Manometers : Manometers are the devices which are used for measuring the pressure at a point in a fluid by balancing the column of liquid by another column of liquid. They are classified as : (i) Simple Manometer : (a) Piezometer (b) U-tube manometer (c) Single column manometer Piezometer P. h Pipe Pipe h Liquid .P Liquid or water Fig. 2.1. Manometer

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32 / N.S.D. Basic Mechanical Engineering (ii) Differential manometers : P = ρ gh ρ = density of liquid h = height of column P = pressure of liquid 2. Mechanical gauges : In this type of devices the pressure is measured by balancing the fluid column by spring (elastic element) or dead weight. They are generally used to measure high pressure. Following are the commonly used mechanical gauges : (i) Bourdon pressure gauge. (ii) Dead-Weight pressure gauge. (iii) Diaphragm pressure gauge. Where, Velocity measurement : Velocity is defined as the rate of change of displacement of the object with time. Velocity = Displacement Time Velocity is a vector quantity as it has both magnitude (speed) and direction. The velocity can be measured by following devices :– 1. Milometer : Velocity of a moving automobile is measured by milometer. It consists of non-twisting wire whose one end is connected to a small gear and other end to milometer. The small gear meshes with worm gear mounted on axle of moving wheel. As small gear rotates, wire also spins and it gives movement to needle of milometer. 2. Tachometer : Angular velocity may be measured with the help of a tachometer. A tachometer is an electro-mechanical device in which output voltage is proportional to velocity of the shaft. It is a transducer which converts velocity into an electric signal. The tachometers are classified as follows : (i) Mechanical Tachometers : (a) Fly-ball tachometer (b) Hand Speed tachometer (c) Chronometeric tachometer. (ii) Electrical Tachometers : (a) A.C. tachometer (b) D.C. tachometer (c) Electromagnetic tachometer (d) Capacitive tachometer 3. Electro-magnetic transducers : This type of transducer utilizes the voltage produced in a coil on account of change in flux linkages resulting from change in reluctance. It is the most commonly used transducer for measurement of linear velocities. Flow Measurement : The basic principle of flow measurement is to measure the rate of flow of a fluid flowing through a pipe. The rate of flow (i.e. volume or mass that flows during a fixed time interval) is measured by following instruments : 1. Venturimeter 2. Orifice meter or orifice plate 3. Pitot–Tube 4. Rota meter etc. Venturimeter : It is a device used for measuring the rate of flow of fluid flowing through a pipe. It consists of following three parts. (i) A short converging part (ii) Throat (iii) Diverging part.

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Measurement / 33 Inlet Pipe line Flow Outlet pipe line Divergent part Convergent Throat Part 1 2 d1 d1 Flow U-tube monometer h Mercury (Hg) Fig. 2.2 Venturimeter. Working Principle : Its working principle is based on Bernoulli's equation (energy balance principle) and conservation of mass principle (Continuity equation) The discharge 'Q' is given by, Q= a1a2 × a12 – a22 Q = Cd 2 gh a1a2 × a12 – a22 under ideal conditions 2 gh Actual discharge Where, cd = Co-efficient of venturimeter or co-efficient of discharge and its value is less than unity (varies between 0.96 and 0.98) d1 = Diameter of pipe ( at inlet & outlet) a1 = Area at section (1) = π 2 d 4 1 a2 = Area at section (2) h = difference of pressure head at section (1) & (2) Orifice meter or Orifice plate : Orifice meter is a device used for measuring the rate of flow of a fluid through a pipe. The working principle of orifice meter is same as that of venturimeter (i.e. it is based on Bernoulli's theorem). 1 Pipe 2 Orifice plate Flow Flow U-tube monometer h Mercury (Hg) Fig. 2.3 Orifice meter.

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34 / N.S.D. Basic Mechanical Engineering Orifice meter consists of a flat circular plate which has a circular sharp edged hole called orifice, which is concentric with the pipe. The diameter of orifice is generally kept 0.5 times the diameter of the pipe. A U-tube manometer is connected at section (1) and (2) to measure pressure difference. The discharge 'Q' is given by, Q= Cd a0 a 1 2gh a12 – a02 cd = Co-efficient of discharge for orifice meter a0 = Area at orifice a1 = Area of pipe at section (1) Pitot – Tube : Pitot tube is a device used for measuring the velocity of flow at any point in a pipe or channel. It consists of a glass tube bent at right angle.(i.e. Open L-typed tube with one end towards the direction of flow) as shown in figure. Working Principle : Pitot-tube is based on the principle that if the velocity of flow at a point becomes zero, the pressure there is increased due to the conversion of the kinetic energy into pressure energy. It is one of the most accurate device for velocity measurement. Pitot tube h Liquid In Pipe Liquid Out Fig. 2.4 Pitot–tube. Velocity 'v' at any point is given by, v = CV 2 gh Where, CV = Co-efficient of pitot-tube. Rotameter : It is also known as variable area meter. It consists of a vertical transparent conical tube in which there is a rotor or float having a sharp circular edge. The rotor is heavier than liquid and hence it will sink to the bottom of tube when liquid is at rest. But as the liquid begins to flows, it leaves the rotor untill it reaches a steady level corresponding to discharge. This rate of flow of liquid is read from graduation on the tube. Working Principle : Its working principle is based on continuity mass equation. Uses:- It is used for calculating mass flow rate as used in I.C. engines test ring and heat exchangers etc. Force : Force is defined as an agent or the action which changes or tends to change the state of rest or motion of a body. In statics, it is defined as the cause which changes or tries to change the shape of a balanced body. It is a vector quantity. In S.I. system its unit is Newton. Force is derived from Newton's second law of motion, which states that, "Rate of change of momentum is proportional to the impressed forced and takes place in the direction in which the force acts".

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