Sunday, 25 January 2015

ELASTICITY AND HOOK'S LAW

Elasticity

Elasticity is the property of an object or material which causes it to be restored to its original shape after distortion. It is said to be more elastic if it restores itself more precisely to its original configuration. A rubber band is easy to stretch, and snaps back to near its original length when released, but it is not as elastic as a piece of piano wire. The piano wire is harder to stretch, but would be said to be more elastic than the rubber band because of the precision of its return to its original length. A real piano string can be struck hundreds of times without stretching enough to go noticeably out of tune. A spring is an example of an elastic object - when stretched, it exerts a restoring force which tends to bring it back to its original length. This restoring force is generally proportional to the amount of stretch, as described by Hook's Law. For wires or columns, the elasticity is generally described in terms of the amount of deformation (strain) resulting from a given stress (Young's modulus). Bulk elastic properties of materials describe the response of the materials to changes in pressure.

Hooke's Law

One of the properties of elasticity is that it takes about twice as much force to stretch a spring twice as far. That linear dependence of displacement upon stretching force is called Hooke's law.

Friday, 23 January 2015

Working of Gas Turbine Engine

Gas turbines are used mainly for two purposes. First, for power production. Second, for generating thrust force in an aircraft. Even though functions are different working principle behind each case is the same. Here we will understand how gas turbine engine is used for generating thrust force in an aircraft.

Gas Turbine Engine for Jet Propulsion

Following figure shows of gas turbine engine of an aircraft. In order to make the flight move forward this engine should produce a force in forward direction.
Fig.1 Jet force required by aircraft is produced by a gas turbine engine
This force is produced by jet effect of this exit fluid. When a high velocity fluid is ejected from aircraft engine it will produce a reaction force which will power the aircraft flight. This force is known as jet force. By applying Newton’s 2nd law of motion to jet engine control volume, one can easily deduce magnitude this jet force as follows.
It is momentum out minus momentum in. So if jet velocity is high it means high thrust force! This is why exit portion of a jet engine has got decreasing area, assuming the flow is subsonic. Or the exit portion acts like nozzle which increase jet velocity.

Continuous Production of High Velocity Jet

If we can produce high velocity jet continuously, the engine will be continuous jet force. We will produce this by a combustion process, by injecting fuel into air. This will produce flames with very high velocity.
Fig.2 Combustion produces flames at high energy, which is then transformed to high velocity flames
But for a sustainable combustion process we need the inlet air to the combustion chamber to be at high temperature and pressure.

Use of Compressor

Surrounding air is brought to high temperature and pressure state with help of diffuser plus compressor arrangement. Air gets into the engine by forward motion of engine and sucking effect of compressor. Diffuser increases pressure and temperature of the fluid to some extent by converting some part of kinetic energy. After that compressor comes where both pressure and temperature of the air is raised by by energy supply from compressor.
Fig.3 Diffuser and compressor together raise pressure and temperature of the incoming air
So at outlet of the compressor we will have air at high pressure and temperature. But compressor requires some power input to do this compression process.

Turbine - A Source of Power to Compressor

Power required compressor is given by a turbine which is situated right after the combustion chamber. The turbine absorbs some amount of energy from the high energy fluid and transmits it to the compressor.
Fig.4 The complete gas turbine, which is self sustainable in operation

Nozzle - Production of High Velocity Jet

Now the fluid with high energy can be expanded in a nozzle section to produce a high velocity jet.In nozzle air will expand to surrounding pressure. Thus the process of producing high velocity jet at outlet has become a self sustainable. We will get continuous supply of high velocity jet and thrust force to this aircraft, thanks to synchronized working of all these components.

Thermal Cycle of Gas Turbine - Brayton Cycle

Variation of state of fluid from inlet to exit of gas turbine engine is shown in Fig.5 in a T-s diagram. Point 1 is the inlet condition of a gas turbine engine, which is same as state of surrounding air. Due to diffuser effect pressure and temperature of the fluid increases slightly, entropy remains same assuming this is an adiabatic reversible process (1-2). Next in compressor stage also same process continues, temperature and pressure rise to a level where combustion process is sustainable (2-3). Now fuel injection and heat addition to the fluid, this process happens almost at constant pressure, here pressure raises to very high level (3-4). Right after that, turbine will absorb some amount energy which is required by the compressor. So here temperature and pressure of the fluid comes down (4-5). Now the last section, which produces high velocity jet. This is again a constant entropy process, where internal energy of the fluid gets converted into kinetic energy. Here pressure expands to the surrounding pressure (5-6).
Fig.5 Variation of state of fluid as it executes Brayton cycle
It should be noted here that the exit stream never go back to the inlet condition, at inlet it sucks fresh steam of air in. So this is an open cycle process, but since both this points are having same pressure we can assume pseudo constant pressure process (6-1) in between in order to complete the cycle.



STEAM TURBINE : BRIEF INTRODUCTION

Steam turbines are heart of power plant, they are the devices which transform thermal energy in fluid to mechanical energy.

Energy Absorption from fluid - Role of Rotor Blades

When high energy fluid (high pressure and high temperature) passes through series of rotor blades, it absorbs energy from fluid and starts rotating, thus it transforms thermal energy in fluid to mechanical energy.
Fig.1 Rotating blades of turbine helps in transforming thermal in fluid to mechanical energy
So series of such blade which eventually transform thermal energy are the most vital part of a steam turbine. One of such rotor set is shown in figure below.
Fig.2 A typical steam turbine rotor
If you take a close look at one of the blade, it would be clear that a blade is a collection of airfoil cross sections from bottom to top. When flow passes through such airfoils it induces a low pressure on bottom surface and high pressure on top surface of airfoil as shown in figure below.
Fig.3 Fluid flow around airfoil cross sectioned blade induces a high pressure (P) and low pressure(P) on blade surfaces
This pressure difference will induce a resultant force in upward direction, thus making the blade rotate. So some part of fluid energy will get transformed to mechanical energy of blade. Before analyzing energy transfer from fluid to blade, we will have a close look at energy associated with a fluid.

Energy Associated with a Fluid

A flowing fluid can have 3 components of energy components
  • Kinetic energy - Virtue of its velocity
  • Pressure Energy - Virtue of its pressure
  • Internal Energy - Virtue of its temperature
Last 2 components of energy together known as enthalpy. So total energy in a fluid can be represented as sum of kinetic energy and enthalpy.

Energy Transfer to Rotors

When fluid passes through rotor blades it loses some amount of energy to the rotor blades. Due to this both kinetic and enthalpy energy of fluid come down for a typical rotor. As kinetic energy comes down velocity of flow decreases. If we directly pass this stream to next stage of rotor blades it will not transfer much energy because of low velocity of flow stream. So before passing the stream to next rotor stage we have to increase the velocity first. This is achieved with use of a set of stationary nozzle blades, also known as stator. When fluid passes through stator blades velocity of fluid increase due to its special shape thus one part of enthalpy energy will get converted into kinetic energy. Thus enthalpy of stream reduces and kinetic energy of stream increase. It is to be noted that here there is no energy addition or removal from flow, what happens here is conversion of enthaply energy into kinetic energy. Now this steam of fluid can be passed to next rotor blades and process can be repeated. Velocity and enthalpy variation of flow is shown in following figure.
Fig.4 Velocity and enthalpy variations across rotor and stator stages of a typical steam turbine

Degree of Energy Transfer

Total energy transfer to the rotor blade is sum of decrease in kinetic energy and decrease in enthalpy. Degree of contribution of each term is an important parameter in axial flow machines. This is represented by a term called of degree of reaction, which is defined as
Where both enthalpy change and kinetic energy changes are defined across the rotor blade.

0 % Reaction - Impulse Turbines

When D.O.R = 0 there will not be any enthalpy change across the rotor, such a turbine is known as impulse turbine. Blades of such a turbine would like as shown below.
Fig.5 A typical impulse turbine rotor cross section and flow pattern
Here incoming flow stream hits the blade and produces and impulse force on it. Since enthalpy across the blade does not change temperature will also remain same. There will be minor pressure drop across the rotor, but this is almost negligible. Here energy transfer to the blade is purely due to decrease in kinetic energy of fluid.

100 % Reaction Turbines

When D.O.R = 1 kinetic energy change across the rotor will be zero, energy transfer will be purely due to decrease in enthalpy. Since kinetic energy is same across the rotor absolute value of velocities remain same. This is shown in figure below.
Fig.6 A typical reaction turbine rotor cross section and flow pattern
Usually people use compromise of above two discussed cases,that is 50% D.O.R . Such turbines are known as Parson turbines, where both kinetic and enthalpy energy transfer contribute equally to power transfer to rotor.

STEEL PIPES SCHEDULE CHART

ominal
O.D. Inches
PIPE SCHEDULES
WALL THICKNESS (
Inches)
5s 5 10s 10 20 30 40s & Std 40 60 80s & E.H. 80 100 120 140 160 Dbl. E.H.
(XXH)
1/8 .405   .035  .049  .049      .068  .068   .095  .095           
1/4 .540   .049  .065  .065      .088  .088    .119  .119           
3/8 .675   .049  .065  .065      .091  .091    .126  .126           
1/2 .840 .065  .065  .083  .083      .109  .109    .147  .147        .187  .294 
3/4 1.050 .065  .065  .083  .083      .113  .113    .154  .154        .218  .308 
1 1.315 .065  .065  .109  .109      .133  .133    .179  .179        .250  .358 
1 1/4 1.660 .065  .065  .109  .109      .140  .140    .191  .191        .250  .382 
1 1/2 1.900 .065  .065  .109  .109      .145  .145    .200  .200        .281  .400 
2 2.375 .065  .065  .109  .109      .154  .154    .218  .218        .343  .436 
2 1/2 2.875 .083  .083  .120  .120      .203  .203    .276  .276        .375  .552 
3 3.500 .083  .083  .120  .120      .216  .216    .300  .300        .437  .600 
3 1/2 4.000 .083  .083  .120  .120      .226  .226    .318  .318          .636 
4 4.500 .083  .083  .120  .120      .237  .237  .281  .337  .337    .437    .531  .674 
4 1/2 5.000             .247      .355            .710 
5 5.563 .109  .109  .134  .134      .258  .258    .375  .375    .500    .625  .750 
6 6.625 .109  .109  .134  .134      .280  .280    .432  .432    .562    .718  .864 
7 7.625             .301      .500            .875 
8 8.625 .109  .109  .148  .148  .250  .277  .322  .322  .406  .500  .500  .593  .718  .812  .906  .875 
9 9.625             .342      .500             
10 10.750 .134  .134  .165  .165  .250  .307  .365  .365  .500  .500  .593  .718  .843  1.000  1.125   
11 11.750             .375      .500             
12 12.750 .156  .165  .180  .180  .250  .330  .375  .406  .562  .500  .687  .843  1.000  1.125  1.312   
14 14.000 .156    .188  .250  .312  .375  .375  .437  .593  .500  .750  .937  1.093  1.250  1.406   
16 16.000 .165    .188  .250  .312  .375  .375  .500  .656  .500  .843  1.031  1.218  1.437  1.593   
18 18.000 .165    .188  .250  .312  .437  .375  .562  .750  .500  .937  1.156  1.375  1.562  1.781   
20 20.000 .188    .218  .250  .375  .500  .375  .593  .812  .500  1.031  1.280  1.500  1.750  1.968   
24 24.000 .218    .250  .250  .375  .562  .375  .687  .968  .500  1.218  1.531  1.812  2.062  2.343   
26 26.000       .312  .500    .375      .500             
28 28.000       312  .500  .625  .375                   
30 30.000 .250    .312  .312  .500  .625  .375      .500             
32 32.000       .312  .500  .625  .375  .688    .500             
34 34.00       .312  .500  .625  .375  .688                 
36 36.000       .312    .625  .375  .750    .500             
42 42.000             .375      .500             
48 48.000             .375      .500             

Monday, 2 December 2013

SAIL-VARIOUS VACANCIES

STEEL AUTHORITY OF INDIA LIMITED
(A Government of India Enterprise)
DURGAPUR STEEL PLANT
DURGAPUR – 713203

SAIL, a Maharatna Company and a leading steel-making company in India with a turnover of around Rs.49350 crores (FY 2012-13) is in the process of modernizing and expanding its production units, raw material resources and other facilities to maintain its dominant position in the Indian steel market.
Durgapur Steel Plant (DSP) is one of the modernised integrated steel plants of SAIL, employing a motivated workforce of  around 12000 employees, is producer of Wheel & Axle for Railways, Structural for construction and semis in the form of Blooms and Billets. The entire plant is management system compliant through ISO 9001:2000 for Quality Management System, ISO 14001:2004 for Environment Management System, OHSAS 18001:2007 for Occupational Health & Safety and SA 8000:2008 for Social Accountability.
Durgapur Steel Plant, an unit of SAIL invites online application from energetic, result oriented and promising talent for recruitment to the following posts:
DETAILS  OF  POSTS :
(#) Operator-cum-Technician (Boiler Operation) and Attendant-cum-Technician (Cable Jointing) will be taken directly in S-3 and S-1 grade respectively.

    ELIGIBILITY: Matriculation and 3 years full time Diploma in relevant discipline of Engineering (Metallurgy / Mechanical / Electrical / Civil / Electronics / Chemical) from Govt. recognized Institute.             

     SELECTION PROCEDURE :
Eligible candidates will be required to appear in Written Test. On the basis of their performance in the Written Test they will be called for Interview. Information for Written test and Interview will be provided on our website www.sail.co.in.

      HOW TO APPLY :
Eligible and interested candidates would be required to apply online through SAIL’s website: www.sail.co.in (Career with SAIL). Before applying the candidates should ensure that they fulfill all the eligibility norms. Their registration will be provisional as their eligibility will be verified only at the time of interview. Mere issue of admit card / interview call letter will not imply acceptance of candidature. Candidature of a registered candidate is liable to be rejected at any stage of recruitment process or even on joining, if any information provided by the candidate is found to be false or not in conformity with the eligibility criteria at any stage or if candidate fails to produce valid documentary proof in support of his eligibility.
Before registering their applications on the website the candidates should possess the following:
a)         Valid e-mail ID, which should remain valid for at least one year.
b)   Pay in Slip (SBI Challan) / e-receipt of Rs. 250=00 or Rs.150=00 (as applicable for the posts given in V above) as application and processing fee for General/OBC candidates. SC/ST/PwD candidates to possess Pay in Slip (SBI Challan)/ e-receipt of Rs. 50=00 only as processing fee. The Pay in Slip (SBI Challan) / e-receipt (generated after successful completion of transaction) is to be downloaded from the website after filling in the required details.
c)    Candidates should have latest passport size colour photograph as well as photograph of signature in digital form (.jpg or .jpeg only of less than 500 kb size) for uploading with the application form. Same photograph should be affixed for the entire selection process whenever required.
d)   Candidates are advised to read carefully instructions for online submission of application. The same will be available in the website itself.
e)    Category (General/SC/ST/OBC Non Creamy layer/PwD/Ex-SM) once submitted in the application cannot be changed and no benefit of other category will be subsequently admissible.
f)    After applying online, the candidate is required to download the system generated Registration Slip with unique registration number and other essential details.
g)   Candidates are not required to send any document to Durgapur Steel Plant at this stage. The candidates will be allowed to appear in the Written Test only if they possess the valid Photo Admit Card which will be available for downloading from the SAIL website as per schedule indicated below.
h)   While filling online application, candidates must carefully follow all the steps. Incomplete application / application without fee / application not fulfilling any eligibility criteria will be rejected summarily. No communication will be entertained from the applicants in this regard.



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