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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Combustion & Combustion Chamber
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Combustion:
The ignition of fuel in the presence of air producing carbon dioxide, water and heat energy.
The topics like Calorific value, Net Calorific Value and Gross Calorific Value is defined by Calorific Value.
Homogeneous Mixture:
It is the mixture of two components such that you have the same proportion of components in each sample.
It is used in SI engines.
Combustion starts at the end of compression stroke.
When A/F mixture is ignited, flame front appear and starts to spread.
Propagation of flame is due to heat transfer and diffusion.
Velocity with which the flame front moves is called Normal Flame Velocity.
If equivalence ratio is in between 1-1.2, the flame velocity is maximum.
If heat due to combustion zone becomes equal to the heat due to adjacent zone then flame gets extinguished.
Heterogeneous Mixture:
It is the mixture of two components such that you have the different proportion of components in each sample.
It is used in CI engines.
When ignition starts, flame front appear which burn fuel in adjacent zone where mixture is leaner.
Combustion Stages in SI Engines:
There are three stages of combustion SI engines which are discussed ahead:
1. Growth of Flame/ Ignition Lag:
In this stage flame front appear die to ignition.
2. Flame Propagation:
Flame propagates due to heat transfer and diffusion. In this stage flame velocity remains constant.
Another factors of flame front propagation are:
Reaction Rate ↠ rate at which flame eats unburned particles.
Transportation Rate ↠ physical movement of flame front relative to the cylinder walls.
3. After Burning:
This stage starts from when peak pressure released on indicator diagram which means expansion process.
Factors Affecting Flame Velocity:
Following are the factors which affect the flame velocity:
Turbulence ↠ As the turbulence of air in the combustion chamber increases, flame velocity increases.
F/A Ratio ↠ if the equivalence ratio is 1.0-1.2, the flame velocity increases.
Compression Ratio ↠ As the compression ratio increases, pressure and temperature increases which increases the flame speed.
Engine Speed ↠ it increases with the increase in engine speed.
Knocking in SI Engines:
Fuel is combusted in the form of layers.
When 1st layer gets combusted, it increases the pressure and temperature of 2nd layer, which is combusted to further increase in temperature and pressure.
A time will come when temperature in the combustion chamber reach the self ignition temperature of fuel.
It results in generation of secondary flame which apply pressure in opposite direction which produce noise.
Factors Affecting Knocking of Engine:
There are two types of knocking factor namely:
1. Density Factor:
Compression Ratio ↠ As the compression ratio increases ,pressure and temperature also increase which decrease ignition lag and increase knocking tendency.
Intake Mass ↠ if mass intake is greater, temperature and pressure increase due to rapid combustion which decrease ignition lag and increase Knocking tendency.
Temperature of C/C Walls ↠ combustion chamber walls temperature should be lower to reduce knocking.
Power Output ↠ if output decreases, temperature and pressure decrease which reduce knocking tendency.
2. Time Factor:
Engine Speed ↠ if speed is greater, turbulency increases, flame speed increases which reduce knocking.
Flame Distance ↠ knocking tendency is reduced of flame distance is shorter.
Location of Spark Plug ↠ if plug is centrally located, distance travelled by flame is shorter which reduce knocking.
Combustion in CI Engines:
Air is compressed in combustion chamber.
Then fuel is injected which have layers.
The air in C/C takes the fuel molecules on the jet periphery.
Due to compression, temperature in the C/C reaches to its self-ignition temperature and then ignites.
Combustion Stages in CI Engines:
There are 4 stages of combustion in CI engines which are discussed ahead:
1. Ignition Delay Period:
In this stage fuel is injected but not yet burnt. There are two types of delay:
Physical Delay ↠ Due to atomization or vaporization.
Chemical Delay ↠ Due to gain of activation energy.
2. Period of Uncontrolled Combustion:
This stage starts from combustion to max. Point of pressure on indicator diagram. If delay period is greater, combustion is rapid.
3. Period of Controlled Combustion:
Fuel is injected with low delay period and ignites. Combustion is controlled by controlling fuel.
4. Period of After-Burning:
Burning of un-burnt or left particles. This period is called After-Burning.
Factors Affecting Delay Period:
Following are the factors which affect delay period which are discussed ahead:
Compression Ratio ➠ If compression ratio is greater, compression temperature increases which reduce auto-ignition temperature which results in the reduction of delay period.
Intake Temperature & Pressure ➠ Delay period decreases with the increase in intake temperature and pressure.
Fuel Quality ➠ Higher cetane number gives lower delay period.
Speed ➠ If speed is greater, delay period is reduced.
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 tempe...
Solid Mechanics OR Mechanics of Materials OR Strength of Materials: It is the study of mechanics of body i.e. forces and their effects on deformable solids under different loading conditions. Deformable Body Mechanics: It is the study of non-rigid solid structures which deform under load. Deformation/Distortion ⇾ change of shape and size OR have some relative displacement or rotation of particles. It happens when we apply combined load. Rigid Body Motion ⇾ Translation or rotation of particles but having constant distance between particles. Since deformation occur at particular load. Below this load, every body is considered as rigid body . Types of Load: Point Load ⇾ Load apply on a single point i.e. concentrated load. Uniformly Distributed Load (UDL) ⇾ Load remains uniform throughout an area of element like beam. Varying Distributed Load (VDL) ⇾ Load varies with length with constant rate. Moment ⇾ It measures the tend...
Strain Transformation Principal Strain and stresses can occur in the same directions. Material Properties Relation (Young, bulk Rigidity Modulus) ⇼ Hooke's Law General State of Strain ⇼ Є X , Є Y , Є Z and ૪ X , ૪ Y , ૪ Z . Stress (normal or shear)/ Strain (normal or shear) ⇼ vary with element orientation. Transformation equations for Plane strain derived from: Interpretation of Experimental measurements Represent in graphical form for plane strain (Mohr's Circle). Geometry and independent of material properties. Mohr's Circle It is defined as., " A graphical method for determining normal and shear Shear stresses without using the stress transformation equations " . While considering the circle CCW ⇼ Shear strain positive upward & Normal strain positive towards right. The construction of Mohr's circle (with normal and shear stresses are known) is quite easy which include following steps: Draw a set o...
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