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
Welded Joints A permanent joint which is obtained by the friction of edges of two parts to be joined, with or without the application of pressure and a filler material. Used in fabrication as an alternative method for casting and forging . Used as a repair medium . If filler material is used ↠ Strength of Joint > Base metal strength . If filler not used ↠ Joint strength < Base metal strength . Grinding Finish ↠ Welding at top and bottom off the plate. Machining Finish ↠ Welding at bottom surface after welding machining operation. Want to learn more about welded joint, click here . Designing of Butt Joint Design of Lap Joint or Fillet Joint Lap or Fillet joint is " formed by the overlapping of plates and then welding the edges of plates " . There are two types of fillet joints: Single and Double Transverse Fillet Joints ↣ are designed for tensile loading. Parallel Fillet Joints ↣ are designe...
Projection: The term Projection is defined as: Presentation of an image or an object on a surface. The principles used to graphically represent 3-D objects and structures on 2-D media and it based on two variables: Line of Sight. Plane of Projection. Line of Sight & Plane of Projection: Line of sight is divided into 2 types: Parallel Projection Converging Projection & A plane of projection is an imaginary flat plane upon which the image created by the lines of sight is projected. Orthographic Projection: When the projectors are parallel to each other and perpendicular to the plane of projection. The lines pf sight of the observer create a view on the screen. The screen is referred to as the Plane of Projection (POP). The lines of sight are called Projection lines or projectors. Rules of Orthographic Projection: Edges that are parallel to a plane of projection appear as lines. Edges that are incl...
Gear Forming by Machining Formation of gear through machining consists of following methods: Form Milling by Disc Cutter Form Milling by End Mill Cutter Shaper, Planner and Slotter Broaching 1. Form Milling by Disc Cutter It is defined as, " Tooth is cut one by one by plunging the rotating cutter into the blank " . Each gear needs a separate cutter. 8 - 10 standard cutters are available for producing 12 - 120 teeth gears. Used for big spur gears of large pitch. 2. Form Milling by End Mill Cutter It includes the cutting of tooth at a time and then indexed for the next tooth space for cutting. For a small volume production of low precision gears. Set of 10 cutters ↠ 12 - 120 teeth gears . Used for teeth of large gears/module. To reduce cost, same cutter is often used for multiple sized gears resulting in profile errors . Characteristics: Use of Hardened stainless steels (HSS) form milling cutters. Use of Ordinary milling machines. Low production rate (need of indexing...
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