Log Mean Temperature Difference (LMTD) Method with Examples

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Logarithmic Mean temperature Difference is used to measure the Heat transfer rate in double pipe heat exchanger. The rate of heat transfer is got from the formula -

Q = U.A.LMTD .

U= Heat Transfer Co-efficient
A= Heat Transfer Surface Area
LMTD=  Mean Temperature Difference

LMTD is the logarithmic temperature difference between the hot and cold fluids passing through the each ends of heat exchanger pipes.

Log Mean Temperature Difference Method

Formula for LMTD calculation - 



LMTD or Logarithmic Mean Temperature Difference  is calculated by keeping some factors in mind 

  • The type of the heat exchanger 
  • temperature of the fluids at the four end positions 
These are - 
  • Inlet temperature of the hot fluid 
  • Inlet temperature of the cold fluid 
  • Outlet temperature of the cold fluid
  • Outlet temperature of the hot fluid 
LMTD =  dT1 - dT2 /ln (dT1/dT2)  

For parallel flow - 

dT1 = Temperature of the hot fluid entering - Temperature of the cold fluid entering 
dT2 = Temperature of the hot fluid exit - Temperature of the cold fluid exit 


For counter flow - 

dT1 = Temperature of the hot fluid entering - Temperature of the cold fluid exiting
dT2 = Temperature of the hot fluid exit - Temperature of the cold fluid entering  

Mathematical Example : 

1. For a Parallel Flow Heat Exchanger,  Hot fluid entering at temperature 100 degree Celsius and exiting at 90 degree Celsius . Cold fluid Entering at 30 degree Celsius and exiting at 50 degree Celsius. Find the LMTD . 

For Parallel or co - current flow , 

According to the above mentioned formulas - 

LMTD = ((100 - 30)-(90-50)) / ln (100-30/90-50) = 53.6 degree Celsius . 

2. For a Counter Flow Heat Exchanger for same data calculate the LMTD . 

For Counter Current HE , 

LMTD = ((100-50)-(90-30))/ln(100-50/90-30) = 54.85 degree Celsius . 

So Heat transfer rate for Counter Flow is higher . 


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Electrochemical Machining (ECM) Principles

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Electrochemical Machining (ECM) is based upon Faraday's law of electrolysis. Faraday's law states that the the mass of a metal altered by the electrode is proportional to the quantity of electrical charges transferred to that electrode.
  • In ECM the removal of metal is controlled by the anodic dissolution in the electrolyte. 
In ECM -
  •  The workpiece acts as the anode
  • The tool act as cathode.
  • The electrodes should be placed closely with a gap of about 0.5 mm .
  • The anodes and cathodes should be immersed into electrolyte. (Here Sodium Chloride)
Please Read : 

Schematic illustration of the electrochemical-machining (ECM) process

Electrochemical Machining (ECM)

The main principles of ECM are as follows - 

  • A potential difference is maintained between the electrodes as a result ions existing in the electrolytes migrate towards the electrodes. 
  • Conventionally positively charged ions are attracted towards the cathode and negative ions are attached towards to the anode. And thus flow of current is initiated in the electrolyte. 
  • The set-up is kept stationary and tool is fed linearly. 
  • The desired amount of metal is removed because of ion migration towards the tool. 
  • For keeping the tool safe from damage a continuous supply of electrolyte is ensured by pumping it at high pressure (15kg/cm2). 
  • In this process the temperature generated is very low and no spark is produced and thus there isn't any scope of metallurgical changes in the job. 
  • When electricity is supplied to the metallic ions of the w/p is pulled out. The positive ions of the metal reacts with the negative ions present on the electrolytic solution and hydroxides of metal and other components. This hydroxides are precipitated and washed away by the electrolytic solutions.  
  • In Electrochemical Machining the tool and workpiece doesn't come in direct contact with each other so negligible wear and tear is observed. 
  • Metal removal rate is high and voltage supplied is very low. 
  • The metallic workpiece is not damaged due to thermal stresses. 
  • Dimensions up to 0.05 mm can easily machined . 

Examples of parts made by ECM 

Electrochemical Machining (ECM)  Principles

Different parts made by electrochemical machining.  (a) Turbine blade material :  nickel alloy (b) Thin slots on a 4340-steel roller-bearing cage.  (c) Integral airfoils on a compressor disk.

 Electrochemical Grinding  (ECG) Principles  

electrochemical machining and electrochemical grinding


(a) Schematic illustration of the electrochemical-grinding process.  (b) Thin slot produced on a round
nickel-alloy tube by this process.

        Functions of Electrolyte
  •           The current is carried between the tool and the w/p through electrolyte.
  •           The produced heat is dissipated by the liquid electrolytic solution.
  •           The product of machining is removed by the solution.               
  •            It keeps the reactions continuous by supplying the elements necessary for the reaction.  

What Should be The Criteria of Selecting Electrolyte in Electrochemical Machining  (ECM) and Grinding (ECG)


The selection of the electrolyte should be done by considering the following matters - 


·         Required Machining rate 
·         Required Dimensional Accuracy 
·         Surface Texture and Integrity  

            
      The properties of Electrolytes 

  •            High Electrical Conductivity 
  •            High Current Efficiency for machining 
  •            Good Surface finish and integrity is necessary
  •            Composition of the electrolyte and structure of the material controls the final surface texture. 

 Flow Arrangement of the Electrolyte in  ECM / ECG 

       Perfect electrolyte flow across the machining tool is mandatory for proper machining.
      cavitation is likely to be occurred in the tool so proper care is necessary to keep the 
      tool in shape. Tool design must ensure the uniform flow of electrolytic solution in all
      the machining areas. Optimum flow of the electrolyte is desired because excessive
      flow can cause erosion of the tool. 
      
     Mainly two types of flows are used –


     1.     Divergent flow
     2.     Convergent flow

     Convergent flow provides a smoother flow of electrolytes. At first the electrolyte has to pass a
     chamber known as ‘dam’. The dam is used to pressurize the are outside  the working tool. 

   Advantages of convergent flow system.  
  
  •         Improved Surface finish 
  •         Improved Uniform and predictable side over cut as well as front machining gap. 
  •         Less prone to arcing. 
  •         Clean operating environment 
  •         Stray currents make it possible to eliminated unwanted machining.  
But it is also to be mentioned that machining in convergent flow is much expensive than divergent flow. 

Advantages of Electrochemical Machining (ECM)

  1. Accurate Machining 
  2. No direct contact between tool and job. 
  3. Negligible wear and tear of the tool. 
  4. Environment friendly 
  5. no thermal or mechanical stress is induced on the tool.
  6. There is no contact between worpiece and the tool so its is possible to machine non-rigid and open w/p. 
  7. Jobs with complex geometric shapes can be machined with ease accurately and repeatedly. 
  8. ECM is a time saver when compared to conventional machining. 
  9. During drilling several holes can be done at once.  
  10. Deburring can be done in hard to access areas. 
  11. Fragile and brittle materials which are prone to damage can be machined easily in ECM without cracking or breaking. 
  12. Surface finish up to 25 μ in can be achieved. 

Disadvantages of Electrochemical Machining (ECM)

  1. Sometimes this process is costly because the equipments are expensive. 
  2. Continuous supply of electrolytic solution is mandatory. 
  3. Steady voltage or potential difference should be maintained. 
  4. Rigid fixturing is required to withstood the high flow rate of electrolytes. 
  5. Designing the tool is arduous because it must be insulated to maintain the perfect conducting paths towards the workpiece. 
  6. Corrosion free material is needed for the structure and the electrolyte handling unit. 
  7. If hydrogen is liberated at the tool surface then it is possible to suffer from hydrogen-embitterment of the surface. 
  8. There is possibility of damages because of sparks. 
  9. Conventional machining techniques produce more improved fatigue properties than ECM.  

Applications of Electrochemical Machining ECM 

  • ECM is mainly used in the areas where conventional machinig techniques are not feasible . One of the main applications of ECM is found in the aerospace industries where accuracy is very important when complex shaped difficult to machine materials are needed to be machined. 
  • Different Industrial techniques have been developed on the basis of Electrochemical Machining Such as 
                a. Electrochemical Cutting 
                b. Electrochemica ECM 
                c. Electrochemica broaching 
                d. Electrochemica drilling 
                e. Electrochemica deburring 

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Aluminothemic Welding or Thermit Welding Principles

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Aluminotherrnic welding is commonly known as Thermit welding.  As a subset, these processes use the heat from highly exothermic chemical reactions of solid, particulate materials (or, occasionally, solid particles and a gas) to produce melting and joining, also called coalescence, between metals.  Most often, the reactants employed are oxides with low heats of formation and metallic reducing agents, which when oxidized have high heats of formation, but combinations of two metals or a metal and a non-metal (e.g., H, C, 0, N, B, Si, S, or Se) that will react exothermically to produce a compound with a high heat of formation  can  also be used. The excess heat of formation of the reaction products, in  either case, provides  the energy to produce the weld. As an example, if finely divided aluminum and metal oxides of, say, iron or copper are blended and ignited by means of an external  heat  source,  the aluminothermic reaction (after which the entire group is named) will proceed according to the following general reaction: 

Aluminotherrnlc Welding or Thermit Welding General Reactions and Principles 


Metal oxide + aluminum = aluminum oxide + metal + heat
The reaction is so exothermic that the heat liberated results in the metal formed as a reaction product being liquid. The most common Thermit reactions used to produce welds are – 

thermit welding reactions


By causing the reaction to take place such that this molten metal product can  reach and fill a joint,  a weld can be  made. In Thermit welding as it is usually practiced, the reaction is made to take place in a vessel located above a mold around the aligned and abutted joint elements. Once the reaction takes place, the  molten metal product, being denser than the solid AI,O, product, pours down into the mold under the influence of gravity and casts into the joint to create a weld. To help the reaction proceed, especially for large volumes of reactant and large welds to be made, the mold is often preheated. A typical arrangement for Thermit welding is shown schematically in Figure where concrete reinforcing steel bar is being welded in either a horizontal or vertical orientation.  This  and  the  joining of steel railroad  rails and heavy copper electric cables or buss bars to terminal connectors are common applications of this process. 

Aluminotherrnlc Welding or Thermit Welding Principle

Maximum Temperature of Thermit Reactions 

While the theoretical maximum temperature that results from such reactions can be calculated from the  reaction  thermodynamics,  the actual maximum temperature achieved is less precise because the reaction does not take place adiabatically.  In the case of most common reaction maximum theoretical  temperature is approximately 3200°C (5800°F). Even though  the  actual maximum temperature  probably  ranges between 2200°C (4000°F) and 2400°C (4350°F) due to various losses, there is more than enough superheat in the molten metal product to cause melting of the surfaces of the abutting joint elements, thereby producing a real weld. 

More recently, as the result of work by Merzhanov et al. (1972) in Russia, a host of  exothermic reactions have been studied  and used to accomplish surface welding or overlaying by causing the reaction to take place in reactant packed on the surface, and cladding by causing the reaction to take place in reactant sandwiched between layers. Reactions to produce refractory oxides, carbides, nitrides, carbonitrides, borides, silicides, and other non-oxide ceramics as well as intermetallics (e.g., aluminides) have been studied (Hlavacek, 1991) and offer potential to join ceramics to one another and to metals. The former processes are generically classified by the AWS as exothermic welding processes, while the  latter are classified as exothermic brazing processes, the difference being whether any melting of the  substrate(s) occurs, as it must to be considered welding. Alternative names for  these  processes, because of the  propagating and simultaneous  modes in  which the process can take place are: self-propagating high-temperature synthesis (SHS)  and combustion synthesis (CS) 

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Catalytic converters- Dual bed and three way catalytic converters

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Catalytic Converters 

Catalytic converter is a  way of treating exhaust gases. These convert harmful pollutants into harmless gases. A catalyst is a material that causes chemical change without entering into chemical reaction. In effect the catalyst encourages to react with each other. For example, in the HC/CO catalytic converter, the catalyst encourage5 the HC to unite with oxygen to produce H20 (water).It encourages the CO to change to CO2 (carbon dioxide). The catalyst in the NOx converter splits the nitrogen from the oxygen. The NO therefore becomes harmless nitrogen and oxygen. Figure 31-40 shows that a two way type catalytic converter that converts only HC and CO. Figure 31-40 also shows that the flow of the exhaust gas through the converter. The converter is filled with BB-shot-size metal pellets. They are coated with a thin layer of platinum or similar catalytic metal. The pellets form a matrix through which the exhaust gas must pass. As the exhaust gas flows through the catalyst produces the chemical reaction. Another type of catalytic converter must use non-leaded gasoline. If the gasoline contains lead, the lead will coat the catalyst and the converter will stop working. If this happens to the pellet type converter, there is a way to remove the old pellets and put in a charge of fresh pallets. But in the honey-comb type, the complete catalytic converter must be replaced.


Please Read : 


Dual bed and three way catalytic converters 

There are three general categories of catalytic converters .These are oxidizing, reducing, and three way. The oxidizing converter handles handles HC and CO, using platinum and palladium as the catalyst. To control NOx, rhodium is used as a reducing catalyst. It changes NOx to harmless N2. Instead of having two separate catalytic converters in the exhaust system, one for HC and CO and the other for NOx, most manufacturers use either a dual-bed catalytic converter or a three-way catalytic converter.
catalytic converters


A dual bed converter (Fig 31-42) is like two bead type converters in one housing with an air chamber between them. The exhaust gas first passes through the upper bed, reducing the Nox and oxidizing some of the HC an CO. Then the exhaust gas flows through the air chamber to the lower bed, where the air pump is adding sufficient air for final oxidizing of the HC and CO.

catalytic converter
A three-way catalyst is a mixture of platinum and rhodium (sometimes mixed with palladium). It acts on all three of the regulated pollutants (HC, CO and Nox), but only when the air-fuel mixture ratio is precisely controlled (Fig 31-43). If the engine is operated with the ideal of stoichiometric air-fuel ratio of 14.7:1, the three-way catalyst is very effective. It strips oxygen away from the Nox to form harmless water (H2O), carbon dioxide (CO2 and Nitrogen (N2). However, the air-fuel mixture must be precisely controlled if thus action is to occur. For this reason, a closed-loop fuel-metering system (either feedback carburetor or fuel injection) must be used. 

Dual bed and three way catalytic converters


There are two types of three way catalytic converters. They have a mesh or honeycomb (Fig 31-44) coated with catalyst. The front section (in the direction of the gas flow) handles NOx and partly handles HC and CO. The partly treated exhaust gas then flows through the air chamber into the rear section of the converter. There the gas mixes with the air being pumped in by the air pump. This is called secondary air. It puts more oxygen in the exhaust gas to that the two way catalyst can take care of the HC and CO.

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Best Automobile Engineering Books to study

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Automobile engineering is an indispensable part of Mechanical Engineering. Many mechanical engineering students study this discipline only get themselves acquainted with this subject. Most of the students choose Mechanical Engineering to get themselves familiar with the mechanism of automobile. Automobile Engineering Books are must for those students. Proper guidance from teachers is of course one of  the main requirements to get yourself ready to become an automotive engineer. But you also need a good book which will take you to the peak of the knowledge. In these days it is not possible for a teacher to give you all the knowledge which is required to call yourself an expert on that respective subject. It is because of the shortness of time and other limitations. Mechanical Engineering is a vast subject and Automobile engineering is one of the biggest rivers that goes and meets the huge ocean of Mechanical Engineering. So you need a great automobile engineering book to achieve the ability to swim on that river. In this article we will discuss about the best books for automobile engineering.

Please Read : Best Mechanical Engineering Books 
automobile engineering books pdf

Best Automobile Engineering Books for Mechanical Engineers 

In market there are a number of books related to automobile engineering. A single book of the subject will not quench your thirst about automotive engineering. On the other hand you don't have that much time to go through all the books!  So your question will be which is best book for automobile engineering or What are the best automobile engineering books ? As I said earlier automobile engineering is a very complex discipline of study. As a student of mechanical engineer you would like to choose automotive engineering as a major subject but at the same time you have to keep in mind that it can make your life very difficult ! Students have that passion to understand the complicated and sophisticated engine designs and working principles. At first they feel great passion for the topic but end of the day few students get success studying automobiles. So you definitely need some real passion. I assume that you have that passion and enthusiasm about the automotive vehicles. Now you need some great automobile engineering books continue your quest.

What are the best books to study automobile engineering

Many books are available . I am going to discuss about all the good books. But if you are a student then before you choose a book you should have a good idea about your University syllabus. For research work you have to go through a number of books. The names of the book that I am going to give will be good enough for research and thesis. So lets know about the books for automobile engineers. 

Automotive Mechanics by Crouse and Anglin: 

A classic book. Has been around for a number of years. Attractive and important diagrams are available so it would be great if you buy a multicolored addition. Again I want to add that this book is not for all people. Buy this book if you want to be a real automobile engineer. It is an amazing book and many people will agree with me. Buy the new addition which includes all the latest data. It is great for beginners and students. This books is a great reference book. It will provide you information about all the parts of a car. It also covers the safety of the workshop and discusses the tools. The language is simple and includes a automotive dictionary. 


Theory of Ground Vehicles by J.Y. Young 

Great text and reference book for both educational and professional purposes. Discusses about the fundamentals of performance, handling as well as design of the ground vehicles. Authors have done a great job explaining and using mathematical formulas. It is a great resource for automotive engineers as it contains many plots and visuals along with many other overwhelming information. If you want to make yourself expert in a specific topic then this books will provide you with vast information.   

Fundamentals of vehicle dynamics by Thomas D. Gillespie 

If you are not from mechanical engineering background but you love automobile then this book is great for you. You just have to know some basic physics and you are ready to go. Automobile engineers give this book a high rating because it provides an easy understanding. Most of the topics are covered with equal importance. The only annoying thing that comes into my mind while going through this book is the units used. It is not in S.I unit or metric unit. It uses English-system for measurement. A meticulous yet easy book for understanding the dynamics and performance including sample problems and solutions. This is one of the best seller automotive engineering books. 

Internal combustion engines fundamentals by John Heywood 

Not a best automobile engineering book but it is sometimes called the bible of internal combustion engines. All the answers of questions starting with why, how is present in this book. It has theories and mathematics. But this book doesn't discuss about the high speed SI and turbo diesel engines. The book discusses everything with very much details so sometimes you have to skip some pages to keep your enthusiasm intact. 

At this moment I have these books in my mind for studying automobile engineering. If you have some more books in your knowledge the you can share and help students and professionals to find the best automobile engineering books. 


  

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Best Mechanical Engineering Books PDF Format for Students

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The purpose of this article is to create a list of mechanical engineering books for the core courses of Mechanical Engineering. There are a number of books available for the meticulous study of Mechanical Engineering subjects. If we were able to study all the books of ME core courses then it would have been great ! But sadly it is not possible. And most of the times it is not possible to buy all the books of all subjects. But students can be benefited if they collect  1-2 books (hardcopy) for every subject and collect the other mechanical engineering books pdf format (soft copy). There are many sites which sell the pdf copy of books for mechanical engineers. I always suggest to collect those books in an authentic way. But if anyone wants to know about any book, then feel free to contact me through the contact form (I have a great collection of books in pdf format). Along with ME books we will discuss about some Industrial and Production Engineering books which are an integral part of mechanical engineering course.

Mechanical Engineering Books PDF

Best Mechanical Engineering Books PDF Format for Undergrad students

The core Mechanical Engineering courses with best books are - 

Mechanical Engineering Drawing books 

  • Engineering Drawing and Design by David A. Madsen and David P. Madsen. 
  • Engineering Drawing by Basant Agarwal and C M Agarwal 

Basic Mechanical Engineering or Introduction to Mechanical Engineering : ( Scroll down you will find a special part for the books of this subject )

Basic Thermodynamics books 

  • Thermodynamics An Engineering Approach by Younus A. Cengel and Micheal A. Boles (Best mechanical engineering book (pdf is also available) for thermodynamics ) 
  • Engineering Thermodynamics by Rogers 
  • Basic and Applied Thermodynamics by P.K. Nag 
  • Fundamentals of Engineering Thermodynamics by Michael J. Moran and Howard N. Shapiro 

Engineering or Vector Mechanics books

  • Vector Mechanics for Engineers statics and dynamics by Ferdinand P. Beer and E. Russel Johnston . (One of the best Mechanics books) The solution of this book is also available. 
  • 800 solved problems in Vector Mechanics for Engineers (Vol 1) by Joseph Shelley
  • 700 solved problems in Vector Mechanics for Engineers (Vol 2) by Joseph Shelley  

Mechanics of Solids or Strength of Materials books

  • History of Strength of Materials by Timshenko 
  • Strength of Materials by Singer (one of the best mechanical engineering books - pdf available for solid mechanics)
  • Mechanics of Materials by Beer Johnston 
  • Strength of Materials and Structures by Case, Chilver and Ross 
  • Engineering Mechanics of Solids by Popov 

Numerical Analysis books

  • Numerical Methods for Engineers by Steven Chapra. (Recommended book for numerical analysis) 
  • Numeric Methods for Scientists and Engineers by R.W. Hamming.
  • Fundamentals of Engineering Numerical Analysis by Parviz Moin

Heat Transfer books 

  • Heat and Mass Transfer an Engineering Approach by Cengel 
  • Fundamentals of Heat and Mass Transfer by Incorpera, DeWitt, Lavine, Bergman 
  • Heat Transfer by J.P. Holman 
  • Introduction to Heat Transfer by Vedat Arpaci , Shu-hsin - Kao , Ahmet Selamet
  • Principles of Heat Transfer by Keith, Manglik, Bone  
Cengel, Incorpera and Holman's books are best Mechanical books for Heat Trasfer study

Fluid Mechanics books

  • Mechanics of fluids by Irving Shames 
  • Fluid Mechanics - Frank M. White 
  • Fundamentals of fluid Mechanics by Bruce R. Munson, Wade W. Huebsch, Alric P. Rothmayer. 
  • Fluid Mechanics by Cengel and Kimbala 

Machine Design books 

  • Shigley's Mechanical Engineering Design 
  • A text book of Machine Design by R.S Khurmi and J.K Gupta
  • The Mechanical Design Process by David G. Ullman 
  • Design of Machinery - An introduction to synthesis + analysis of mechanisms and machines by- Robert L. Norton 
There are a lot of handbook available for Machine Design -
  • Standard Handbook of Machine Design by Shigley 
Most of the times handbooks are provided by the university. 

Mechanics of Machinery books

  • Theory of Machines by R.S Khurmi and J.K. Gupta 
  • Mechanics of Machines : elementary theory and example : John Hannah and Richmond Courtney Stephens  
  • Mechanics of Machines advanced theory and examples : John Hannah and Richmond Courtney Stephens  

Instrumentation and Measurement books 

  • Theory and Design of Mechanical Measurements by Richard S. Figliola 
  • Instrumentation for Process Measurement and Control by Norman A. Anderson 

Internal Combustion Engines books

  • Internal Combustion Engine Fundamentals by John Heywood
  • Internal Combustion Engines and Air Pollution Edward Fredrick Obert
  • Engineering Fundamentals of Internal Combustion Engines by Willard W. Pulkrabek 
  • Fundamentals of International Combustion Engines by H.N. Gupta 

Power Plant Engineering books 

  • Power Plant Engineering by P.K. Nag
  • Power Plant Engineering G.R. Nagpal 

Refrigeration and Building Mechanical Systems books 

  • Refrigeration and Air Conditioning by Ahmadul Ameen 
  • Refrigeration and Air Conditioning Technology by Bill Johnson, Bill Whiteman, John Tomczyck
  • Refrigeration by Hundi 

Fluid Machinery books 

  • A textbook of fluid Mechanics by R.K Rajput 
  • Fluid Mechanics and hydraulic Machines by S.C. Gupta 
  • A textbook of fluid mechanics and hydraulic machines by R.K. Bansal 

Aerodynamics books

  • Fundamentals of Aerodynamics by John Anderson (great for fundamental knowledge)
  • Fundamentals of Flight by Richard S. Shevell 

Fluidics books 

  • Fluid Power with application by Anthony Esposito (Good book)

Control Engineering books 

  • Control Systems Engineering by Norman Nise (Best Mechanical Engineering book for control engineering . Its solution is also available)

Automobile Engineering books 

  • Automotive Mechanics by William H. Crouse (great book for learning)
  • A Textbook of Automobile Engineering by R.K. Rajput 

These Mechanical Engineering books are available in hardcover , paperback and pdf format. These books can brought from amazon.com. These are the most renowned books for mechanical engineering. 

Special: Mechanical Engineering Books ( pdf and hard copy) for Basic Mechanical Engineering 

Mechanical Engineering is a vast subject. Its like a ocean. But many talented writers have written books with titles like basic mechanical engineering or Introduction to Mechanical Engineering. These books cover some core topics of Mechanical Engineering. It is great work and we should salute these writers for their endeavor.
Now, I am giving names of some of these books. These Mechanical Engineering books will help you to have a basic knowledge about different topics before going into depth. These books will be helpful for the first semester students as well as complete engineers.  These books are -

  • Comprehensive Basic Mechanical Engineering by R.K. Rajput 
  • Mechanical Engineering By Khurmi and Gupta 
  • Basic Mechanical Enginnering By R.K Singal 
  • Basic Mechanical Engineering By Basant Agarwal. 
   
There are many more courses on ME dept. I will update list of mechanical engineering books time to time and also add new subjects. Mechanical Engineering book can be read through google books which gives students and researchers opportunity to read different books online. Please write your review and share your knowledge about these ME books. Thanks ! 
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Bernoulli's Equation and Euler's Equation - Different terms

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Bernoulli's Equation states that - 

For an incompressible liquid (density constant) which is flowing in a continuous stream; the total energy remains the same for all the particles, when the particle is moving from one point to another point.

Mathematical expression of Bernoulli's equation:

P1/w + (v2 )1/2g + z1 = P2/w +( v2)2 /2g + z1 = constant 

Here 
P1 , P2 = Pressure at points 1 and 2
V1,V1 = velocity at points 1 and 2
Z1 , Z2  = datum head at points 1 and 2
w= weight density of the liquid (also denoted by Greek letter gamma)

Different types of energies or head in Bernoulli's equation 

1. Potential energy or potential head: 

Potential energy is the energy stored in a body because of changing its position above the fixed datum head. It's denoted by Z. 

2. Kinetic energy or head: 

It is due to the velocity of the fluid. It is denoted by v2 /2g.  Here, v is the velocity and g is the gravitational acceleration. 

3. Pressure energy or pressure head:

 This energy is due to the pressure of the liquid. It is denoted by P/w . 

P has the unit Newton/square meter ,N/m2 
W has the unit Newton / cubmic meter , N/m3

So, 
Total Energy = Pressure energy + Kinetic energy + Potential energy 
Total Head = Pressure Head + Kinetic Head + Potential Head  

Applications of Bernoulli's Equation: 

1. A modified equation for the measurement of velocity in a pitot tube and pitot static can be got from Bernoulli's equation. 
2. The flow through venturi meter and orifice meter can be measured by this equation. 
3. Flow over notches and weirs can be calculated. 

Euler Equation or Bernoulli Differential Equation 

bernoullis equation

Euler's equation is expressed as 

dp/ρ + g.dx + v.dv = 0 

Euler's Equation is based on some assumptions: 

1. Non-viscous flow. 
2. Incompressible  and homogeneous flow. 
3. Steady flow. 
4. Continuous flow. 
5. Uniform velocity of the flow. 


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Pros and Cons of Solar Energy

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The energy from the sun reaching the earth per day ranges from about 600 Btu (British Thermal Unit) / square feet for Northern Europe to about 2000 Btu/square feet for arid regions near the equator. More energy from sun strikes the earth in one hour than all energy consumed on the planet in a year! A summer day’s sun at noon provides a square, meter of land with a power input almost a kilowatt. One might wonder why solar energy has not replaced the conventional energy sources, not even a significant fraction. So there are definitely some pros and cons of solar energy. In this article I will discuss about the pros as well as cons of this vast energy source.

Pros and cons of solar energy

Pros of Solar energy


No pollution

There is no pollution while producing energy from the solar panels. Only pollution we can talk about is the pollution that can happen while making the solar panels.

Great for household use 

Theoretically the sunlight falling on a typical single house can easily provide from one third to one half of the heating needs of that house anywhere in hot countries even in the cooler climates and even when there is persistent cloudiness.

Zero dependence on the fossil fuels 

The dependence on the fossil fuels can be reduced a great deal. In one day the solar energy falling on India alone is greater than the energy in their present annual coal consumption. 

Reasonable Cost 

One installed the cost of electricity production is very low though the cost of producing solar cells are high. And in the remote areas the installation cost will be comparatively very low.
Solar panels can be set up in the house roof tops. So there is no requirement of finding spaces for installing the solar panels.

Availability 

Most of the areas of the world are exposed to the sun’s rays and capable of using this energy very easily.

No transportation cost of fuels 

No need of transportation of fuels from one place to another. The fuel is everywhere!

The harnessing of electricity is very much easy in the remote areas when these areas are not connected to the national grid. 

Cons of Solar energy


Cost

The solar energy has not been the prevailing one because of its cost. The primary reason is clearly the cost of solar energy based technology, especially in comparison to the lower priced commercial fuels.

Some adverse environmental effects of solar energy

Large scale utilization of solar energy is associated with adverse environmental effect. To produce an electrical equivalent of 10 terra watt of solar electricity a land area as big as 220000 square kilometer will be required. An area of this size cannot be covered with solar energy collecting devices without making any adverse environmental effect.

Storage of captured energy

The devices for storing solar energy are of low efficiency and high costs. This can cost thousands of dollars for a buyer to set up a solar panel in houses as well as in factories. 

Though there are some cons of solar energy in the near future we must find a way to properly utilize solar energy because the fossil fuel storage are at the verge of getting finished. And the harm occurred due to the use of these solar energy is irreparable. So Solar energy pros and cons should be properly studied.

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Solar Concentrator Classification: Advantages of Solar Concentrator

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Introduction: Definition of Solar Concentrators:


Solar Concentrator is a device which concentrates the solar energy incident over a large surface onto a smaller surface. The concentration is achieved by the use of suitable reflecting or refracting elements, which results in a increased flux density on the absorber surface compared to that existing on the concentrator aperture. In order to get a maximum concentration an arrangement for tracking the sun’s virtual motion is required.  An accurate focusing device is also required. Thus a solar concentrator consists of a focusing device, a receiver system and a tracking arrangement. Temperature as high as 3000 degrees Celsius can be got from a solar concentrator. So they have potential applications in both thermal and photovoltaic utilization of solar power at high temperatures.
Solar concentrating devices have been used for a long time. In Florence as early as 1695, a diamond could be melted by solar energy. Lavoisier carried out a number of experiments with his double-lens concentrator. The knowledge concentrator dates back even time of Archimedes, whose book "On Burning Mirrors" is an evidence of this fact. Many uses of concentrators were reported in the eighteenth and nineteenth centuries, particularly in heat engines and steam production. The advantages of concentrator are as follows: 

Solar Concentrator Classification: Advantages of Solar Concentrator

The advantages of solar concentrator


1. It increases the intensity by concentrating the energy available over a large surface onto a smaller surface (absorber)
2. Due to concentration on a smaller area, the heat loss area is reduced. Further, the thermal mass us much smaller than that of a flat plate collector and hence transient effects are small.
3. The delivery temperatures being high, a thermodynamic match between the temperature level the task occurs.
4. It helps in reducing the cost by replacing an expensive large receiver by a less expensive reflecting or refracting area.

Disadvantages of Solar Concentrator


However, concentrator is a optical system and hence the optical loss terms become significant. Further it works on beam component of solar radiation, resulting in loss of diffuse component. Although the basic concepts of flat plate collectors are applicable to concentrating systems, a number of complications arise because of non-uniform flux on absorbers, wide variations in shape, temperature and heat loss behavior of absorbers and finally the optical considerations in the energy balance conditions. It may be noted that higher the concentration of the collector, higher is the precision of optics and more is the cost of the unit. In addition to the complexity of the system, the maintenance requirements are also increased.

Classification of solar concentrator


Solar concentrators may be classified as (i) tracking type and (ii) non-tracking type. Tracking may be continuous or intermittent and may be one-axis or two -axes. As the sun may be followed by moving either the focusing part or receiver or both; concentrators can be classified accordingly. Further the system may have distributed receiver or central receiver.
The concentrators may also be classified on the basis of optical components. 
They may be 

1. Reflecting or refractory type
2. Imaging or non-imaging type
3. Line focusing or point focusing type

The reflecting or refracting surface may be one piece or a composite surface, it may be a single stage or two stage type system and may be symmetric or asymmetric. In practice however hybrid and multistage systems, incorporating various levels of the features, occur frequently.

Types of solar concentrators


There are a number of methods by which the flux radiation on receivers can be increased. Some of them have been discussed here:

   Tracking Concentrators classification: 


   Tracking Concentrators can be further classified as


    Concentrators with one axis tracking 

    These are used to achieve moderate concentration. A few of them have been described below.

i.    Fixed Mirror Solar Concentrator (FMSC)
ii.  Cylindrical Parabolic Concentrator
iii.  Linear Fresnel Lens/reflector
         (Follow the link of one axis tracking concentrator for getting the description of all three concentrators)

Concentrators with two-axes tracking 

           In order to achieve a high concentrators for high temperatures solar processes, concentrators with double curvatures are used. These requires two axes tracking of the sun. Some of these have been described below: 

i. Paraboloidal dish concentrators 
ii. Central Tower Receivers 
iii. Circular Fresnel Lens 
iv. Hemispherical bowl mirror

Non-tracking concentrators classification 

These are classified as follows: 

i. Flat Receiver with booster mirror 
ii. Tabor- Zeimer Circular Cylinder 
iii. Compound Parabolic Concentrator 
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