study of heat exchangers in different hydraulic circuits in hsm

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    Study of Heat Exchangers in Different Hydraulic Circuit in HSM

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    A

    ON

    PROJECT GUIDE: SUBMITTED BY:Mr. Braj Kishor Kumar Arindam Paul

    HSM Dept. SP No. VT0512134151

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    It has been an immense pleasure and truly enriching experience doing my vocational

    training at TATA STEEL Ltd., Jamshedpur. I take this opportunity to thank all those

    people who have made this experience a memorable one. First, I would like to thank myguide Mr. BRAJ KISHOR KUMAR, HSM, who has been the guiding force behind the

    completion of this project and correcting various documents of mine with utmostattention and care. He ensured necessary correction as and when needed. I am heartilythankful to Mr.M. B. VICTOR JOSEPH and also thankful toMAYANK PANDEYfor

    their co-operation, valuable support and proper guidance whenever I approached them in

    any problem. I am sincerely thankful to all staff members of HSM Dept. for theirvaluable help and guidance in the completion of my training.

    Finally, I am grateful for the support from TATA STEEL Ltd. as a whole for the

    opportunity and assistance they provided me to do my training here.

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    This report prepared at TATA STEEL Limited, Jamshedpur contains a detailed

    description of plate type Heat Exchangers in different hydraulic system in HSM Dept.

    The details of the project done as a part of practical training along with the details of the

    methodology and procedure adapted as a part of the project work is also presented in this

    report.

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    1.TITLE OF THE PROJECT :

    2. DURATION OF THE PROJECT : 15-May-2012 TO 12-June-2012

    3. PROJECT GUIDE AT DEPT. : Mr. Braj Kishor Kumar

    4. NAME OF THE TRAINEES : Mr. Debarpan Saha

    : Mr. Arindam Paul

    : Mr. Soumya Kanti Mandal

    : Mr. Neeraj Kumar Singh

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    This is to certify that MMrr.. AArriinnddaamm PPaauull, SP No-VT0512134151,

    Ref. No. VT20120025 has successfully completed his project at H.S.M.

    from 15th

    May, 2012 to 12th

    June, 2012. He has participated in a project

    titled

    . He has worked on the above subject and successfully

    completed it. He is a diligent trainee of his batch and also an excellent

    team man. I wish him well in his future endeavors.

    Braj Kishor Kumar (Project Guide)

    Manager, HSM Mechanical

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    Table of contents

    1. WHAT IS HEAT EXCHANGER...72. FUNCTION OF HEAT EXCHANGER.7

    3. WORKING PROCEDURE84. TYPES OF HEAT-EXCHANGER.94.1. PARRALEL FLOW, COUNTER FLOW & CROSS FLOW9

    4.2. SHELL & TUBE TYPE HEAT EXCHANGER.114.2.1. THEORY & APPLICATIONS.11

    4.3 .PLATE TYPE HEAT EXCHANGER.12

    5. DIFFERENT PARTS OF PLATE TYPE HEAT-EXCHANGER & ITS WOKINGPRINCIPLE13

    5.1. DIFFERENT PARTS OF PLATE TYPE HEAT-EXCHANGER...13

    5.2. PROCESS OF HEAT TRANSFER THROUGH CHANNEL PLATES.15

    5.3. PRESSURE DROP-PROBLEM OF HEAT TRANFER THROUGH CHANN-

    EL PLATES..165.4. DIFFERTENT TYPES OF PLATE TYPE HEAT-EXCHANGER..16

    5.4.1. PARRALEL FLOW TYPE HEAT-EXCHANGER.165.4.2. DIAGONAL FLOW TYPE HEAT-EXCHANGER17

    6. ADVANTAGES OF PLATE TYPE HEAT EXCHANGER18

    7. GENERAL BLOCK DIAGRAM OF HYDRAULIC SYSTEMS20

    8. HOW HEAT-EXCHANGER IS USEFUL IN HYDRAULIC SYSTEMS .219. STUDY OF DIFFERENT HEAT EXCHANGERS IN HSM DEPT.,TATA

    STEEL LTD..25

    10. CONCLUSION28

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    Heat exchangers are the devices those facilitate the exchange of heat between the

    two fluids that are at different temperature while keeping them from mixing with each

    other. Heat exchangers are commonly used in practice in a wide range of applications,from heating and air-conditioning system in a household to chemical processing and

    power production in large plants. Heat exchangers differ from mixing chambers in that

    they do not allow the two fluids involved to mix. In a car radiator, for example, heat istransferred from the hot water flowing through the radiator tubes to the air flowing

    through the closely spaced thin plates outside attached to the tubes.

    Heat transfer in a heat exchanger usually involves convection in each fluid and

    conduction through the wall separating the two fluids. In the analysis of heat exchangers,it is convenient to work with an overall heat transfer coefficient (U) that accounts for the

    contribution of all these effects on heat transfer.

    The rate of heat transfer between the two fluids at a location in a heat exchanger depends

    on the magnitude of the temperature difference at that location, which varies along theheat exchanger. In the analysis of heat exchangers, it is usually convenient to work with

    the logarithmic mean temperature difference LMTD, which is an equivalent mean

    temperature difference between the two fluids for the entire heat exchanger.

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    The basic principle of heat exchanger is the energy flow between hot and cold

    streams. As a result the temperature of the hot fluid decreases increasing the temperature

    of the cold fluid. Normally the hot and cold streams are separated by a solid medium (in

    case of wall separating heat exchanger) which must have high conductivity. Heat transfermode is by convection at two surfaces of the solid medium which are exposed to the hot

    and cold fluid and by conduction across the solid medium. For the efficient heat transferprocess the thermal resistance for these conductive and convective heat transfers should

    be as low as possible. Proper design of the flow and the material of the solid medium

    reduce the thermal resistance. The proper choice of flow direction also improves theefficiency (ex. in counter flow the temperature difference between hot and cold fluid is

    higher compared to parallel flow at any position, thus equivalent temperature difference

    is also higher).Heat exchanger also may be of radiative type which involves radiative heat

    transfer.

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    The classification of heat exchanger is shown in the above chart. There are other heat

    exchangers like-

    1. Adiabatic wheel heat exchangers

    2. Plate fin heat exchangers

    3. Fluidized bed heat exchangers

    4. Spiral heat exchangers

    5. Phase-change heat exchangers

    Parallel and counter flow provide alternative arrangements for certain specialized

    applications. In parallel flow both the hot and cold streams enter the heat exchanger at the

    same end and travel to the opposite end in parallel streams. Energy is transferred along

    the length from the hot to the cold fluid so the outlet temperatures asymptoticallyapproach each other. In a counter flow arrangement, the two streams enter at opposite

    ends of the heat exchanger and flow in parallel but opposite directions. Temperatures

    within the two streams tend to approach one another in a nearly linearly fashion resultingin a much more uniform heating pattern. Shown below the heat exchangers are

    representations of the axial temperature profiles for each. Parallel flow results in rapid

    initial rates of heat exchange near the entrance, but heat transfer rates rapidly decrease asthe temperatures of the two streams approach one another. This leads to higher exergy

    HeatExchanger

    Contact basis Physically On the basis offlow direction

    Direct Contact WallSeparating

    Streams

    Plate type Shell & tubetype

    Parallel flow Counter Flow Cross Flow

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    loss during heat exchange. Counter flow provides for relatively uniform temperature

    differences and, consequently, lead toward relatively uniform heat rates throughout thelength of the unit.

    Another type of heat exchanger, which is specifically designed to realize a large heattransfer surface area per unit volume, is the compact heat exchanger. In compact heat

    exchangers, the two fluids usually move perpendicular to each other, and such flow

    configuration is called cross-flow. The cross-flow is further classified as unmixed and

    mixed flow, depending on the flow configuration, as shown in following Figure. In (a)the cross-flow is said to be unmixed since the plate fins force the fluid to flow through a

    particular interfin spacing and prevent it from moving in the transverse direction (i.e.,

    parallel to the tubes). The cross-flow in (b) is said to be mixed since the fluid now is freeto move in the transverse direction. Both fluids are unmixed in a car radiator. Thepresence of mixing in the fluid can have a significant effect on the heat transfer

    characteristics of the heat exchanger.

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    A shell and tube heat exchangeris the most common type of heat exchanger in oil

    refineries and other large chemical processes, and is suited for higher-pressure

    applications. As its name implies, this type of heat exchanger consists of a shell (alarge pressure vessel) with a bundle of tubes inside it. One fluid runs through the tubes,

    and another fluid flows over the tubes (through the shell) to transfer heat between the two

    fluids. The set of tubes is called a tube bundle, and may be composed by several types oftubes: plain, longitudinally finned, etc.

    Two fluids, of different starting temperatures, flow through the heat exchanger. One

    flows through the tubes (the tube side) and the other flows outside the tubes but inside the

    shell (the shell side). Heat is transferred from one fluid to the other through the tube walls,

    either from tube side to shell side or vice versa. The fluids can be eitherliquids or gases on either the shell or the tube side. In order to transfer heat efficiently, a

    large heat transfer area should be used, leading to the use of many tubes. In this way,waste heat can be put to use. This is an efficient way to conserve energy.

    Heat exchangers with only one phase (liquid or gas) on each side can be called one-phase

    or single-phase heat exchangers. Two-phase heat exchangers can be used to heat a liquid

    to boil it into a gas (vapor), sometimes called boilers, or cool a vapor to condense it into aliquid (called condensers), with the phase change usually occurring on the shell side.

    Boilers in steam engine locomotives are typically large, usually cylindrically-shaped

    shell-and-tube heat exchangers. In large power plants with steam-driven turbines, shell-and-tube surface condensers are used to condense the exhaust steam exiting the turbine

    into condensate water which is recycled back to be turned into steam in the steamgenerator.

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    Plate and frame (or just plate) type heat exchanger has found widespread use, whichconsists of a series of plates with corrugated flat flow passages. The hot and cold fluids

    flow in alternate passages, and thus each cold fluid stream is surrounded by two hot fluid

    streams, resulting in very effective heat transfer. Also, plate type heat exchangers can

    grow with increasing demand for heat transfer by simply mounting more plates. They arewell suited for liquid-to-liquid heat exchange applications, provided that the hot and cold

    fluid streams are at about the same pressure.

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    1. SUPPORT COLUMN:-The two bars are suspended between theframe plate, to which in most cases the piping isconnected, and a support column.

    2.CONNECTIONS:-Holes matching the piping lead through the frame plate, permitting the media to enterinto the heat exchanger. Threaded studs around the holes secure the pipes to the

    equipment. Depending on the application, metallic or rubber-type linings may protect the

    edges of the holes against corrosion.

    3. TIGHTENING BOLTS:-With the package of thin plates hanging between the frame plate and the pressure plate, a

    number oftightening bolts are used to press the thin plates together bringing them intometallic contact, and to compress the gaskets enough to seal off the narrow passages

    which have now been formed between the plates.

    5. GUIDING BAR:-The plates hang from a carrying barat the top and are kept in line by a guiding barat the

    bottom.

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    6. GASKET:-These plates are called channel plates. A groove along the rim of the plate and around theports hold a gasket, usually made of a rubber-type material. Heat is transferred through

    the surface which is contained by the gasket, except for some small areas near the corners.

    The number of plates in your heat exchanger is determined by the size of the heat transfer

    surface required.

    The GASKET is molded in one piece. The material is normally an elastomer, selected to

    suit the actual combination of temperature, chemical environment and possible other

    conditions that may be present

    Different parts of gasket:-

    The one-piece gasket consists of:1. One field gasket

    2. Two ring gaskets

    3. Links

    The field gasket is by far the larger part containing the whole heat

    transfer area and the two corners connected to it. The ring gaskets

    seal off the remaining two corners.

    These three pieces are held together by a few short links, which haveno sealing function at all. Their purpose is simply to tie the pieces

    together and to add some support in certain areas. On some plate

    heat exchangers, the gasket is held in place on the plate by means ofa suitable cement or glue.

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    Functions of parts of gasket:-

    As already demonstrated, the two media are effectively kept apart by the ring and

    field gaskets. To prevent intermixing of the media in the corner areas where field and ring

    gaskets are very close to each other, the link pieces have a number of slots which opensthe area between the field and ring gaskets to atmosphere. Any leakage of media across

    either gasket will escape from the heat exchanger through the slots.

    Precautions using gaskets:-

    It is important that these openings are kept clear. If they are not, there is a risk thatshould a leak occur in that region of the plate, there might be a local pressure build-up,

    which could allow one medium to mix with the other. Care should be taken not to cut or

    scratch the gaskets while handling plates.

    The purpose of the equipment is to transfer heat from one medium to another. Heat

    passes very easily through the thin wall separating the two media. The novel pattern into

    which the plate material has been formed not only gives strength and rigidity, but greatly

    increases the rate of heat transfer from the warmer medium to the metal wall and from thewall to the other medium. This high heat flow through the walls can be seriously reduced

    by the formation of deposits of various kinds on the wall surfaces. The pattern of

    corrugation on plates induces highly turbulent flow.

    The turbulence gives strong resistance to the formation of deposits on the plate surface;

    however, it cannot always eliminate fouling. The deposits may increase the total wall

    thickness substantially, and they consist of materials that have a much lower thermal

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    conductivity than the metal plate. Consequently a layer of deposits can severely reduce

    the overall heat transfer rate.

    Pressure drops are wasted energy. All pipe systems and equipment included in themoffer resistance to media flowing through them. Some pressure drop is unavoidable, but

    for a given PHE it should be kept as close as possible to the designed value. Theformation of deposits on the heat transfer surfaces instantly leads to a reduction of the

    free space between the plates. This means that more energy is needed to get the desired

    flow through the equipment.

    Plate type heat exchangers are generally classified in twocategories depending upon the direction of flow-

    Parallel flow

    Diagonal flow

    When a package of plates are pressed together, the holes at the corners form continuous

    tunnels or manifolds, leading the media (which participate in the heat transfer process)from the inlets into the plate pack, where they are distributed in the narrow passages

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    between the plates. Because of the gasket arrangement on the plates, and the placing of

    A and B plates alternately, the two liquids enter alternate passages, e.g. the warmliquid between even number passages, and cold liquid between odd number passages.

    Thus the media are separated by a thin metal wall. In most cases the liquids flow in

    opposite directions. During the passage through the equipment, the warmer medium will

    give some of its heat energy to the thin wall, which instantly loses it again to the coldermedium on the other side. The warmer medium drops in temperature, while the colder

    one is heated up. Finally, the media are led into similar hole-tunnels at the other end of

    the plates and discharged from the heat exchanger.

    The working principle of diagonal flow plate type heat exchanger is same as parallel flow

    plate type heat exchanger. The difference between them is the direction of flow of water

    and oil between two plates. The direction of oil and water is shown in the above figure.The heat exchange between oil and water is more than the parallel flow plate type heat

    exchanger.

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    Compact design delivers greater efficiency

    With densely-packed surface area and overall superior thermal efficiency, platetype Heat Exchangers use up to 80% less floor space and often weigh 10 times less than

    shell-and-tube exchangers. Plus, they use less surface area to transfer the same heat. That

    makes them easier, safer, faster, more efficient and far more economical to ship, handle,install and use.

    Close temperature approachIn the plate type heat exchanger two fluids can be delivered due to true

    countercurrent flow, which directs the two media in opposite directions across the plate.

    This results in maximum temperature differences and minimum heat transfer surface

    requirements. In fact, temperature approaches as close as 1 to 2F can be obtained.

    No cross-contaminationDue to the gasket design of the Plate Heat Exchanger units are well-suited to

    applications where inter-leakage is a critical concern. Hot and cold media circuits are

    individually gasketed with the area in between vented to the atmosphere, assuring the

    integrity of both circuits.

    Low hold-up volumePlate Heat Exchanger users enjoy shorter response times and more accurate process

    control. This advantage is the direct result of inherent design considerations that allow for

    an internal volume of up to 80% less than tubular designs.

    Minimum FoulingUniform flow and high fluid turbulence is achieved due to the design of plates

    which also minimizes fouling. The continual scrubbing action taking place in this type of

    heat exchangers eliminates the need for frequent cleanings required by other types of heat

    exchangers.

    Ease of maintenanceThis is due in large part to reduced fouling, but, in addition, low media holdup also

    allows for easy drainage. Since connections are usually made to the front of the unit,piping can stay in place when the unit is opened, and all of the components can be

    removed within the length of the frame, minimizing downtime.

    ExpandabilityPlate Heat Exchangers are designed to expand with heat transfer needs. It can be

    done by simply loosening the compression bolts and adding the plates what are needed.

    That's flexibility is far beyond the fixed capacity of other exchangers which would berendered obsolete in similar circumstances.

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    FlexibilityThe widest variety of plate sizes helps us deliver maximum economy for any size

    application. Because of the variety of plates sizes is offered, the most economical designs

    for all types of heat transfer applications is provided.Several plate sizes for each

    connection size is also provided. In addition, plates are pressed in the patterns that arebest suited to optimizing the performance of the system. By combining the right plate

    geometry, patterns and connections the heat exchanger can be customized to achieve a

    design that is ideal for application.

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    There are many reasons which are responsible for the generation of heat in any

    hydraulic or fluid system. Fluid systems generally produce heat by converting mechanical

    energy or fluid pressure energy. Friction is the process of conversion because molecularfriction generates heat in a sheared fluid.

    Effect of high viscosity of the working fluid

    The higher the viscosity of the working fluid, the more heat this friction

    produces because of higher frictional resistance. For example, frictional drag acts on the

    fluid as it courses through orifices, restricted passages etc. But viscosity is greatly

    affected by the temperature. Generally higher the temperature, lower the viscosity and

    vice-versa.

    The heat generated by the friction is either dominated by the cold atmospheric conditionor not causing two different results which are following.

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    Effect of Low viscosity of the working fluid

    Low viscosity fluid also contributes to heat generation because it inherently fails to

    maintain a crucial lubrication film between moving surfaces. This failure to separate the

    running surfaces results not only in wear (abrasion and adhesion of the two surfaces) butalso in excessive leakage. The resulting wear increases the frictional loss and the rise of

    temperature of the working fluid. A viscous cycle of thermal failure is shown in the

    which shows how the rise in temperature is gradually assisted by lowering the viscosityof the working fluid.

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    Viscous Cycle of Thermal Failure

    The effect of the temperature rise

    The result of the frictional effect first causes the loss of energy in terms of heat.

    The heat which is dissipated increases the temperature of the working fluid graduallywith the number of cycle. There are some other reasons of temperature rise like hotatmospheric condition, presence of any heat source near the hydraulic system etc. which

    assist the viscous cycle of thermal failure.No matter how careful designers of fluid systems are, excessive heat generation

    sometimes occurs. If a machine like a hydraulic system has an overall efficiency of 80

    percent, rough approximations would indicate that the amount of generated heat for an

    average fluid system is equal to 20 percent of the connected shaft power. This heat must

    be dissipated to the surroundings in some way, otherwise the fluid temperature will keeprising until the system either stabilizes (where the heat dissipated to the environment

    balances the heat generated by the system) at some undesired elevated temperature ordestroys itself. When the rise in temperature crosses particular limit oil gets hot and

    breaks down. It looks dark and smells burnt. Thermally degraded oil is thinner and much

    less slippery than new oil definitely fails to serve its purpose further. So in everyhydraulic system it is required to maintain the temperature of the working fluid within a

    working range.

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    Heat exchanger for maintenance of temperature within a range

    The first avenue of escape from generated heat is by natural dissipation. With

    natural cooling, heat in the system fluid dissipates into the surrounding air, primarily by

    conduction and convection. But in most of the cases it is not enough to serve the purposein the industry. to relieve the system fluid of excess heat and lower its operating

    temperature heat exchangers are used. It uses coolant medium and involves the transfer of

    heat from the working fluid to reduce its temperature. Thus it can used again for thesubsequent cycles.

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    Hydrauliccellar

    Heatexchanger

    specification

    No. ofplates

    as percircuit

    No. ofplates

    found

    Platepacked

    lengthfound

    Maximumworking

    pressure

    Oilinlet

    temp.

    Oiloutlet

    temp.

    Waterinlet

    temp.

    Wateroutlet

    temp.

    Purposeserved

    to

    H1 Type- P2-FHSerial No.-

    30107-76-777

    Capacity-

    50.2 kW

    31 98 330 mm 10kg./sq.cm. 33

    oC 31.5oC 25oC 27oC Slab

    charging

    H2 Type- P2-FH

    Serial No.-

    30101-61-584

    Capacity-

    50.2 kW

    31 31 110 mm 6

    kg./sq.cm.

    25oC 24

    oC 20.5

    oC 22.5

    oC Slab

    dischargi

    ng

    H3 Type- P2-FH

    Serial No.-30101-73-719

    Capacity-

    60 kW

    38 68 246 mm 10

    kg./sq.cm.

    37oC 33

    oC 23

    oC 26

    oC Edger

    roughingMill

    H4 Type- P2-FH

    Serial No.-

    30101-61-586

    Capacity-

    60 kW

    38 38 134 mm 6

    kg./sq.cm.

    34oC 30

    oC 21.5

    oC 24

    oC Manipula

    tor

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    Hydrauliccellar

    Heatexchanger

    specification

    No. ofplatesas percircuit

    No. ofplatesfound

    Platepackedlengthfound

    Maximumworkingpressure

    Oilinlet

    temp.

    Oiloutlettemp.

    Waterinlet

    temp.

    Wateroutlettemp.

    Purposeserved

    to

    H5 Type- P2-FH

    Serial No.-

    30101-32-976Capacity-

    120 kW

    85 105 380 mm 10

    kg./sq.cm.

    42oC 37

    oC 22.5

    oC 25.5

    oC Coiling

    box

    H6 Type- P2-FH

    Serial No.-

    30101-61-582

    Capacity-

    140 kW

    31 85 302 mm 6

    kg./sq.cm.

    31oC 29

    oC 20.5

    oC 24

    oC Finishing

    mill

    H7 Type- P2-FH

    Serial No.-

    30101-32-976

    Capacity-

    60 kW

    38 97 326 mm 6

    kg./sq.cm.

    35.5oC 33

    oC 22.5

    oC 25.5

    oC Finishing

    mill

    H8 Type- P2-FHSerial No.-

    30101-73-723

    Capacity-

    140 kW

    125 163 575 mm 10kg./sq.cm.

    40.5o

    C 36.5o

    C 22o

    C 25o

    C Finishingmill

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    Hydrauliccellar

    Heatexchanger

    specification

    No. ofplatesas percircuit

    No. ofplatesfound

    Platepackedlengthfound

    Maximumworkingpressure

    Oilinlet

    temp.

    Oiloutlettemp.

    Waterinlet

    temp.

    Wateroutlettemp.

    Purposeserved

    to

    H9 Type- P2-FH

    Serial No.-

    30101-73-722Capacity-

    140 kW

    125 125 455 mm 10

    kg./sq.cm.

    34oC 31.5

    oC 20

    oC 24

    oC Down

    coiler 1

    H9A Type- P2-FH

    Serial No.-

    30101-73-721

    Capacity-

    140 kW

    125 125 438 mm 10

    kg./sq.cm.

    34oC 31.5

    oC 20

    oC 24

    oC Down

    coiler 2

    H10 Type- P2-FH

    Serial No.-

    30106-74-501

    Capacity-

    120 kW

    85 153 556 mm 10

    kg./sq.cm.

    43.5oC 40.5

    oC 22.5

    oC 29

    oC Coil

    conveyor

    -1

    H11 Type- P2-FH

    Serial No.-

    30101-61-583

    Capacity-

    200 kW

    _ 133 465 mm 6

    kg./sq.cm.

    42oC 37

    oC 25.5

    oC 27.5

    oC Coil

    conveyor

    -2 to 6

  • 7/31/2019 Study of Heat Exchangers in Different Hydraulic Circuits in Hsm

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    Study of Heat Exchangers in Different Hydraulic Circuit in HSM

    In the study of heat exchangers in different hydraulic circuits we came to know what

    type of heat exchangers are generally useful in an industry, how different types of heat

    exchangers work, where the heat exchanger should be placed, at what pressure a heat

    exchanger generally work, what kind of problems can arise in a heat exchanger etc. Andespecially why we need a heat exchanger in a hydraulic system. In the industry we have

    also learnt how an industry is really operating. There we came to know how hydrauliccylinders operate, why and where filtration is needed in a hydraulic system, function of

    direction control valve etc. and all these are beyond of our bookish knowledge. Our

    theoretical knowledge would be incomplete without watching an industry running andhow theoretical knowledge is incorporated in the real world just like making strips in

    HSM dept. by rolling the slabs and this process does not only include manufacturing

    knowledge of ours, it also includes the other topics of mechanical engineering like

    hydraulics, lubrication, material science and other branches of engineering also likeelectrical and others. These all are possible due to the help from our guide Mr. Braj

    Kishor Kumarand alsoMr. M.B. Victor Joseph. Whenever we needed a help we got them.And we should not deny the co-operation of the workers of HSM Dept. of TATA STEELLtd. And above all there was a hand of authority was always there with us. Lastly we

    want to thank them all for their co-operation in gathering knowledge about heat

    exchanger and without their help our project would be incomplete.

    ********** THE END **********