View Factor Orientation (or View factor or shape factor) plays an important role in radiation heat transfer. View factor is defined as, "fraction of radiation leaving surface 'i' and strike 'j' ". Summation Rule (View Factor) If there is are similar surfaces 'i' and 'j' , then: Blackbody Radiation Exchange Radiation Exchange between Opaque, Diffuse, Gray surfaces in an Enclosure 1. Opaque 2. Surfaces 3. Two surface enclosure Radiation Shield It is used to protect surfaces from radiation act like a reflective surface. References: Material from Class Lectures + Book named Fundamentals of Heat and Mass Transfer by Theodore L. Bergman + My knowledge. Photoshoped pics are developed. Some pics and GIF from Google. Videos from YouTube ( Engineering Sights ).
It is defined as, "A power unit which produce power from a continuous supply of steam being delivered to the turbine at high pressure and exhausted to the condenser at low pressure".
Motive power is due to the rate of change in momentum.
Turbine operates at very high speed up to 40,000 rpm and 40% efficiency.
Hero's Turbine ⇔ in which exhaust causes sphere to spin.
Applications:
Power Generation
Petrochemical refineries
Paper mills
Sugar Industry
Classification of Steam Turbine:
1. According to the Direction of Steam Flow
Axial Turbine ⇔ in which steam flows in the direction parallel to the axis of turbine.
Radial Turbine ⇔ in which steam flows in a direction perpendicular to the axis of turbine.
2. According to the Action of Steam on Blades
Impulse
Reaction
Combination of Impulse and Reaction
Ques: How can we distinguish between Impulse and Reaction Turbine?
Ans:Degree of Freedom (DOR) define it is a reaction of impulse turbine.
Moving Blades ⇔ Fixed around the circumference of a rotor shaft.
Blade Shroud Ring ⇔ top of blades are connected together for rigidity.
Steam Chest ⇔ It is the steam supply chamber which houses steam before being supplied to nozzles.
Exhaust Hood ⇔ The portion of casing which collects and delivers the exhaust pipe (or condenser).
Throttle (or Stop) Valve ⇔ Located in steam supply line.
Governor ⇔ for controlling mass flow to maintain constant speed with load fluctuations.
Diaphragms ⇔ which contains the fixed blades (act as nozzle).
Steam Turbine Casing (or Shell or Cylinder) ⇔ outer enclosure housing containing nozzles and fixed blades. It provides structural frame.
Turbine Shaft ⇔ rotating member upon which moving blades are mounted.
Packing ⇔ used for preventing the leakage across the annular space between the diaphragm and shaft, casing and shaft. For E.g.: Carbon rings, labyrinth glands.
Impulse Steam Turbine
An Impulse Turbine works on the principle of Impulse, means the K.E. of steam is used to exert a force on the moving blades achieved by having the symmetrical blades (means the cross-sectional area of blades is constant.
5-15° of angle between nozzle and plane of rotation of steam impulse turbine.
Pressure on the both sides of moving blades is same.
Velocity Diagram of Impulse Steam Turbine
To evaluate the force on the blades and the power developed by a turbine, it is necessary to determine the rate of change of momentum of steam across the moving blades.
Velocity Diagram ⇔ tell amount of velocity of fluid entering and leaving the turbine.
Labyrinth Seal ⇔ used to stop leakage of steam.
On 50 Hz frequency ⇔ Blades rpm lies between 1500-3000.
Selection of angle '⍺' should be low as possible to decrease useful tangential component.
Important Points:
If the steam is to enter and leaves the blades without losses, then relative velocity should be tangential to the blade inlet tip that means angle 𝜷 is minimum.
If 𝜷1 = 𝜷2 ⇔ Symmetrical Blades (but as time goes along due to erosion/corrosion material wears off).
Steam Turbine Compounding
Compounding is defined as, "Method of reduction of rotor speed of Turbine".
Stage ⇔ One row of nozzle followed by one row of blades.
High speed ⇔ results in destruction of machine, large centrifugal force, vibration increases, overheating of blades, etc.
Ques: Why do we need Compounding?
Ans: Enthalpy of steam is very high when passed into nozzle ⇔ steam is then expanded from boiler pressure to condenser pressure in one go ⇔ rotor speed becomes high (30,000 - 50,000 rev/min), turbine stresses nd friction losses will be high ⇔ efficiency becomes low ⇔ So single stage turbine is undesirable.
In this case, Multiple system of rotor in series (keyed to common shaft) and steam jet is absorbed in stages is used.
Methods of Steam Turbine Compounding:
Velocity Compounding or Curtis Staging
Pressure Compounding or Rateau Staging
Pressure-Velocity Compounding
1. Velocity Compounding
It is defined as, "The expansion of steam takes place in a set of nozzles from boiler to the condenser pressure".
It consists of two or more rows of moving blades separated by one/two rings of fixed blades.
Since, area of blades remain same ⇔ Constant pressure but Velocity changes.
Moving Blades ⇔ keyed to shaft.
Fixed Blades ⇔ on Casing.
Working:
Velocity of Steam increases in nozzle ⇔ Enter in Moving Blades (energy absorbed) ⇔ Velocity increased by Fixed Blades (by decreasing area) ⇔ Enter n Moving Blades (energy absorbed, blade rotates).
2. Pressure Compounding (or Series of Impulse Turbine)
It is defined as, "Rings of fixed nozzle keyed to casing installed between rings of moving blades are keyed to the turbine shaft".
No. of stages depends on the pressure required.
Working:
Steam enters in 1st nozzle ⇔ pressure drop, velocity increase ⇔ enter in Moving blade-1 (area remains same, pressure constant, velocity drop) ⇔ enter in 2nd nozzle ⇔ velocity increase, pressure decrease ⇔ then enter in Moving blade-2 (pressure constant, velocity drop).
Efficiency and Reheat Factor (R.F.)
Stage efficiency is defined as, "the ratio of actual heat drop to the isentropic heat drop".
Reheat Factor ⇔ Ratio of Cumulative Heat drop to the direct isentropic heat drop (or Rankine Heat Drop). It is used to avoid excess moisture in steam at the end of expansion to protect the turbine.
Due to the divergence of constant pressure lines, R.F. > 1 (mostly 1.04 - 1.08) that means
Hydrographic Survey Hydrography is the science which determines the physical features and the navigable portions of the Earth's surface adjoining coastal areas. Surveyors study bodies of water to see what the floor looks like. Techniques and Instruments used in Hydrographic Survey : Many instruments are used in hydrographic survey like multibeam sonars, LIDAR, multibeam echo sounders(MBES), global positioning system (GPS), laser scanners etc. Among these instruments some are discussed ahead which are mostly used. 1. Light Detection and Ranging: LIDAR is used to measure the elevation or the depths of water bodies by analyzing the reflection of laser light off an object or seafloor. Bathymetric LIDAR is used to determine is used to determine the depths of water bodies by measuring the time delay between the pulse of transmission and its return signals. 2.Multibeam Sonars: Multibeam echo sounders(MBES) or sonar systems transmit sound energy which strike seafloor a
TAPING CORRECTIONS There are two types of corrections depending upon the type of errors in tape due to the different conditions. 1. Systematic Errors : Slope Erroneous tape length Temperature Tension Sag 2. Random Errors : Slope Alignment Marking & Plumbing Temperature Tension & Sag 1. Temperature Correction It is necessary to apply this correction, since the length of a tape is increased as its temperature is raised, and consequently, the measured distance is too small. It is given by the formula, C t = 𝛼 (T m – T o )L Where, C t = the correction for temperature, in m. 𝛼 = the coefficient of thermal expansion. T m = the mean temperature during measurement. T o = the temperature at which the tape is standardized. L = the measure length in m. For Foot Unit : C t = 6.45×10^-6 (T m – 68 )L For Metric Unit : C t = 1.16
Rankine Cycle Rankine cycle is an ideal cycle for Vapour Power Cycles and is normally used for Electricity Generation. The Rankine cycle consist of following steps: 1 ↝ 2 : Isentropic Compression in Pump. 2 ↝ 3 : Constant Pressure Heat Addition in Boiler. 3 ↝ 4 : IsentropicExpansion in Turbine. 4 ↝ 1 : Constant Pressure Heat Rejection in Condenser. Energy Balance: Since, all the devices which Rankine Cycle posses are steady flow devices, so the energy balance for Rankine cycle is: 》For Pump ( q = 0 ): 》For Boiler ( w = 0 ): 》For Turbine ( q = 0 ): 》For condenser ( w = 0 ): The thermal efficiency of Rankine Cycle is: How can we Increase the Efficiency of A Rankine Cycle: The efficiency of a Rankine cycle can be increased: Increasing the avg. temperate at which heat is added Decreasing the avg. Temperature at which heat is rejected. The above two objectives can be achieved by following three methods: 1. By
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