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 ).
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Regeneration of Steam
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Steam Regeneration
It is defined as, "The heating of feed water during its way to the steam boiler by extracting the steam (i.e. tapping from hot portion of cycle) from various points of turbine".
Regenerator OR Feed Water Heater ↹ device used for the purpose of regeneration.
Around 5-8 FWH in practical powerplant (on must be Open type).
There are two types of Feed Water Heater:
Open Type Feed Water Heater
Closed Type Feed Water Heater
Regenerative Rankine Cycle with Two Open Type FWH
A feedwater heater is a power plant component used to pre-heat water delivered to a steam generating boiler.
Reduces plant operating costs
Helps to avoid thermal shock to the boiler metal when the feedwater is introduced back into the steam cycle.
Closed Type Feed Water Heater
Closed feedwater heaters are typically shell and tube heat exchangers where the feedwater passes throughout the tubes and is heated by turbine extraction steam.
No physical mixing of steam and water (closed system).
Extracted steam (from Turbine) transfers energy to FW and condensed.
Condensation results in filling of container with water hinders (heat transfer) and lock incoming steam. To remove condensate, either:
Move it to high pressure region using pumps
Release it to condenser
With respect to Efficiency,
Cascaded Backward (Energy decrease to Drain) <Pumped Forward (Energy increase due to Pump).
Dead State ↹ State at which system is in thermodynamic equilibrium with the environment.
Exergy or Availability ↹ useful work potential of the system at the specified
state. We need exergy destruction to be minimum.
Temperature Terminal Difference (TTD) ↹ Difference of temperature between the bled steam entering FWH and the exit temperature of sub-cooled water in pipes.
Regenerative Rankine Cycle with Closed Type Feed Water Heater with Drains Cascaded Backwards
Closed type FWH's are mostly used for both before and after deaerator heater (has desuperheater drain cooling sections in higher pressure stages).
Steam is generated from boiler, hit turbine blades extracted from 2 and 3.
Extracted heat transfer its energy contents to water running through the pipe channels of (e.g. Shell and Tube Heat Exchanger).
Regenerative Rankine Cycle with Closed Type Feed Water Heater with Drains Pumped Forward
One closed FWH with drain pumped forward ↹ used as lowest pressure heater to pump all accumulating drains back into FW line.
Ques: Why we take actual entropy of a point let say '2a' towards increasing trend?
Ans: According to Law of Increase of Entropy, "the entropy of the system either remains constant or it increases (in adiabatic process)".
For reversible process ↹ entropy of system remains constant.
Ques: What is the effect of heat source fluid type?
Ans: Specific capacity of water = 4.2 KJ / kg . ℃ and air = 1.005 KJ / kg . ℃. Which means it is difficult to change the temperature of water.
Ques: Is superheating of fluid beneficial?
Ans: Consider 2 scenarios:
In case of liquid (Higher Cp) i.e. less temperature difference ↹ No superheating (a-1).
In case of air (lower Cp) i.e. larger temperature difference ↹ superheating is beneficial (a-1).
Gives higher efficiencies (more heat is transferred)
Lesser irreversibilities due to less temp. difference.
Ques: What are the parts of Feed Water Heater?
Ans: There are three parts, described below:
De-superheating Zone ↹ Which convert superheated steam to saturated vapor.
Condensing Zone ↹ Which convert Sat. vapor into Saturated Liquid.
Sub-cooling Zone ↹ If Further heat is required (Saturated liquid to subcooled liquid).
Angles & Directions Angles are also called bearings. Bearings are the acute angles between lines and meridians. They are divided into following types. Related Terms : Meridian : Imaginary line joining North and South poles. Declination : Difference between magnetic and true meridians. Azimuth : Clockwise angle taken from Geodatic North. * If area is greater ➤ use Geodatic North * If area is smaller ➤ use Magnetic North Magnetic Declination maybe towards East or West. For east ➤ Magnetic bearing=true bearing - Declination For west ➤ Magnetic bearing=true bearing + Declination Forward Bearing : Bearing taken in the direction of traverse. Backward Bearing : Bearing taken in opposite direction of traverse. Forward bearing - Backward bearing=180 For anti-clockwise : FB of line = BB of previous line + angle Example: In an anti-clockwise traverse <A=102'30',...
Center of Gravity: It is defined as; The resultant weight of a system which passes through a single point is called Center of Gravity ( G ). Center of Mass: It is defined as; The point at which the whole mass of the system acts. The concept of center of mass is cleared from the video given below: Centroid of a Volume: Objects having three dimensions have the centroid which is its geometric centre. Centroid of an Area: Objects having two dimensions have the centroid which is its geometric centre. Centroid of a Line: Objects having linear dimensions have the centroid which is its geometric centre. Composite Bodies: A composite body consists of a series of connected simpler shaped Bodies which may be rectangular, triangular, semicircular, etc. References: www.youtube.com www.wikipedia.com http://web.aeromech.usyd.edu.au/statics/doc/friction/Friction1.htm From Book Engineering Mechanics sta...
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...
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