Bare and Lagged

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    EXPERIMENT B3HEAT LOSSES IN BARE AND LAGGED PIPES AND

    FINNED TUBE

    INTRODUCTION

    Industrial processes usually require steam for operations such as heating. This medium is

    usually transported via metal pipes. However, it is inevitable to encounter heat losses in this

    arrangement because of the inherent temperature difference existing between the hot pipes

    and the surroundings. This can instead be minimized through insulations placed on bare

    pipes. On the other hand, if a process requires enhancing heat losses then the use of fins

    would be more appropriate. This experiment will involve students in determining the

    effectiveness of the apt use of these heat transfer accessories and also quantify necessaryparameters such as the overall effective heat transfer coefficients.

    OBJECTIVES

    1. To determine the overall effectiveness of industrial insulating materials as compared with

    unlagged pipe and finned tube by solving for the lagging efficiency.

    2. To compare experimental and theoretical heat losses by conduction, convection, and

    radiation from bare and lagged pipes.

    3. To measure effective overall heat transfer coefficient of bare and lagged pipes and finned

    tubes.

    THEORY

    A. Bare and Lagged Pipes

    When a pipe, bare or lagged, is used to carry saturated steam under pressure, heat will be

    lost to the surroundings because of temperature gradient existing between the steam and the

    surroundings. The rate of heat transferred naturally will depend on the magnitude of the

    temperature difference, the thermal resistance, and the heat transfer area. The most common

    method of minimizing heat losses to the surroundings is the use of insulation to increase the

    resistance and therefore lower the heat transfer rate. If our purpose is to increase the rate of

    heat transfer, we use finned tubes which expose more area per unit length compared to a

    similar pipe of the same size.

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    The rate of heat lost from a pipe carrying steam can be measured simply by determining the

    rate of condensation of steam, m, which can be collected at a certain pointerval of time.

    By heat balance,

    where

    Under controlled conditions, the condensed steam can be collected as saturated liquid, thus

    Equation (1) simplifies to,

    To determine therefore the effectiveness of an insulation, it is just a matter of comparing theheat lost from the pipe with an insulation with that from a bare pipe. Since heat lost is

    proportional to the rate of condensation, and the weight of condensate is proportional to the

    volume of condensate v, assuming temperatures and pressures of condensates are the

    same, then the lagging efficiency may be determined using the equation

    where

    To determine the theoretical heat lost, let us consider a pipe of length L insulated as shown

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    carrying steam at a temperature Th and exposed to surrounding air at Ta and surrounding

    walls of the room at Tw.

    Before heat is transferred to the surroundings, it travels first from the bulk of the steam

    through the steam film condensate, then through the metal pipe, then through the insulationby conduction until it reaches the surface of the insulation where part of the heat is transferred

    to the surrounding air by convection and part by radiation to the surrounding walls. That is,

    where hc = Heat transfer coefficient by convectionhr = Heat transfer coefficient by radiation

    Ts = Surface temperature of insulation

    Ao = Outside area of insulation

    For practical purposes, Ta =Tw , therefore Equation (5) becomes

    By definition, assuming surrounding area to be large compared to the area of insulation and

    gray surfaces, hr is given by

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    where = Emissivity of surface

    T = Absolute temperature

    The convection heat transfer coefficient, hc, will depend on the mechanism involved when

    heat is transferred from the surface to the air. Under normal conditions, we can consider this

    transfer as natural convection since no appreciable movement of air due to mechanical

    agitation is encountered. The data of heat transfer from horizontal pipes to air forX from 10^3

    to 10^9 is represented by the dimensionless equation,

    where

    The subscript f indicates that the corresponding property is to be evaluated based on average

    film temperature

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    For air at ordinary temperature and at atmospheric pressure, the simplified dimensional

    equation forX from 10^3 to 10^9 may be employed as

    where T = Ts - T

    Do = Outside temperature of cylinder

    The calculation for the simultaneous heat loss by convection and radiation as given by

    Equation (6) is straightforward if the surface temperature Ts is known. However, in most

    systems this value is not known or cannot be measured with reasonable accuracy. Since Ts is

    needed in the evaluation of both hc and hr, then this temperature will have to be evaluated by

    trial. Assuming a value of Ts (you may use measured Ts as a guide), hr is evaluated using

    Equation (7) and h solved using either Equations (8) or (9). To check the validity of Ts, we use

    Equation (4) by expressing this in terms of temperature gradient and resistances, that is

    where

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    Using Equation (10), solve for Ts and compare this with the assumed Ts. Repeat iteration until

    close agreement is achieved. With Ts known, calculate the theoretical heat lost using

    Equation (6). For bare pipes, trial and error calculation for Ts may be eliminated. Since the

    thermal resistance of the metal pipe and the steam film condensate are small, it is safe to

    assume that the surface temperature of the pipe is nearly the same as the temperature of the

    steam. With Ts known, evaluation of hc, hr and q becomes straightforward. To evaluate the

    effective overall heat transfer coefficient from steam to air, we use the equation

    which can be compared with the actual or experimental U using the equation

    B. Finned Tubes

    In this particular experiment, the integral finned tube is made of brass and fabricated by

    extruding the fins that are attached to the surface of the tube. The fins are radially extruded

    from thin walled tube to a height of 1 mm with 16 fins per inch (25.4 mm). External surface of

    the fins is approximately 2 mm wider than the outside surface of the bare tube whose outside

    diameter is 16.8 mm. Below is the simplified dimensional figure of the finned tube.

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    Solve first for the heat transfer coefficient, f h , by assuming that the transfer of heat is by

    natural convection.

    Hence,

    where T = Temperature difference between fin surface and air

    Bf = Outside diameter of circular fin

    Determine the fin efficiency, , using (P Fig. 10 39). i.e., determine

    Compare the fin efficiency, , obtained from (P Fig. 10 39) with the equation

    such that

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    where Bf = Outer diameter of circular fin

    Do = Outside diameter of the tube

    Sf = Thickness of fin

    Compute for the heat losses per foot using the equation

    where q ' f = Heat losses per foot

    L f = Height of the fin

    Tb = Surface temperature of the fin

    Ta = Temperature of the air

    Then solve for the theoretical heat lost using the equation

    where q = Theoretical heat lost

    L = Total length of the tube, ft

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    EQUIPMENT

    A. Actual Equipment

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    B. Schematic Diagram of the Equipment

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    C. Descr ipt ion of the Equipm ent

    The equipment set-up consists of the following: six graduated cylinders of 5500 to 5000 ml

    capacity; one stopwatch; six beakers of 1000 to 3000 ml capacity; two pairs of asbestos

    gloves; pair of pliers; 10 mercury thermometers; a digital surface thermometer; a meter stick;and compressed air supply line.

    The test equipment consists of a pipe insulated with asbestos (Pipe A), a bare pipe coated

    with silver paint (Pipe B), a bare pipe coated with black paint (Pipe C), a GI pipe without any

    insulation or coating (Pipe D), a finned tube (Pipe E), and a pipe insulated with styrofoam

    (Pipe F).

    These pipes, which are slightly inclined, are rigidly connected to a large horizontal and

    properly insulated pipe which in turn is connected to an insulated steam supply line leading to

    the steam boiler. In the supply line, there is a pressure gage that indicates the pressure of the

    steam coming from the boiler. The pressure within the test pipes is indicated by another gage

    that is located just after the manually controlled valve. Each pipe is equipped with three

    thermometer wells that are used to approximately determine the surface temperature by

    means of a mercury thermometer. The digital surface thermometer may be used to verify

    these readings. Located at the side of the supply line is a set of throttling calorimeter whichcan be used to determine the quality of steam entering the distribution tube.

    On the other side, the end of these pipes are connected to an insulated cylindrical

    condensate collector provided with a stopcock on top, a sight glass at the sides with valves,

    and a control valve at the discharge pipe connected at the bottom of this collector. The

    discharge pipe goes inside a column in a form of a U-tube. The exit pipe can be turned

    forward for collecting the condensate or sideward for draining the condensate. The cylindrical

    coolers are provided each with cooling system in parallel where cooling water can be

    controlled by a valve located at the main water supply line. The used cooling water from these

    coolers is discharged directly to the drain. See Figures 2 and 3 for the equipment set up.

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    PROCEDURE

    1. Preheatin g. Before starting a run, it is necessary to preheat the tubes to a temperature as

    near as possible to the prescribed temperature for the run. This is achieved by partly opening

    all the condensate discharge valves and allowing the steam to pass through the tubes byopening the steam pressure control valve to maintain approximately the same pressure as

    that to be used for the particular run. This procedure will also remove noncondensable gases

    inside the tubes. Perform this operation for about 5 minutes. During this period, you may

    check the temperature recorded by the thermometers placed on each well to determine

    whether the system has already stabilized.

    Note: To avoid burns always wear asbestos gloves when handling hot metallic parts.

    2. Start o f Run . Before starting a timed run, make sure that the condensate collector is

    empty. To check, open fully the valves on top and bottom of the sight glass. If water is

    indicated, this can be removed by fully opening the discharge valve. To start the timed run all

    the six discharge valves are closed simultaneously if possible. It is important that somebody

    must be stationed to control the steam supply valve to watch the pressure gauge since

    closing the discharge valves might suddenly raise the steam pressure inside the pipes to a

    dangerous level. It is recommended that the supply valve be partly closed while the

    discharged valves are being closed. At this point start the time and adjust the control valve tomaintain the desired pressure constant throughout the run.

    3. Timed Run

    a. Method I. This timed run should last not less than 25 minutes. Get temperature readings

    from time to time from the thermometers from each well, or by using the digital thermometer.

    If the condensate collector is about to be filled up as indicated in the sight glass, collect some

    of the condensate using a beaker by carefully opening the discharge valve just to allow part of

    the condensate out. Do not discharge completely the condensate or steam will escape. If

    there are leaks encountered, collect these to be added later to the condensate collected from

    each pipe. When collecting condensate, make sure that the cooling system is on.

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    b. Method II. After closing all the discharged valves simultaneously, if possible, adjust the

    steam valve to a certain pressure and maintain it constant throughout the timed run. Open the

    valve at the main water supply line for the cooling water. Allow the condensate to reach a

    certain level as indicated in the sight glass. Mark this level and start timing the run. Open the

    discharge valve to collect some of the condensate from the collector in a beaker. The level ofthe condensate may rise or fall during the run but adjust the discharged valve so that the level

    of the condensate will not be far from the marked level.

    4. End o f Run

    a. Method I. When the prescribed time is reached, close completely the steam supply valve

    then open slowly one, two or three stopcocks on top of the condensate collector to remove

    the residual steam inside the pipes. Be careful when opening these valves, bear in mind that

    the steam is initially at high pressure. When the pressure in the pipes reaches atmospheric,

    collect the condensate in a beaker or graduated cylinder one at a time or simultaneously.

    Draining will not remove all the condensate because some will stay inside the U-tube within

    the cooler. One way of removing the condensate completely is to use compressed air. First,

    close the stopcocks and connect the compressed air line to one of the stopcocks. Adjust the

    air regulator to indicate an air pressure of about 55 psig. Then slowly open the stopcock to

    allow air to enter the collector. Because of the pressure, residual condensate will be drivenout from the U-tube. Combine the condensate collected from each pipe and record the

    volume.

    b. Metho d II. The steam supply valve is closed completely at the end of the timed run. But a

    few minutes before closing the supply valve, let the condensate level be higher than the

    marked level in step 3 by partly closing the discharge valve. Then right after closing the steam

    supply valve, slowly drain the condensate and stop draining when the level is on the mark.

    Note: To start another run, repeat the procedure by first preheating the systems at least three

    runs must be performed. The recommended pressures are 15, 20, 25 psig, although you can

    choose the pressure you want as long as it does not exceed 60 psig. To determine the quality

    of steam, use the throttling calorimeter provided near the set up.

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    DATA

    RUN 1 RUN 2

    TIME Pipe #1 (C) Pipe #2 (C) Pipe #3 (C) TIME Pipe #1 (C) Pipe #2 (C) Pipe #3 (C)

    0 33 88 88 0 38 98 99

    5 38 115 112 5 39 120 116

    10 37.5 111 110 10 39 119 118.5

    15 38 115.8 113.7 15 39 120 118

    20 38.3 115.8 112 20 39.5 121 118

    25 38 112 109.5 25 40 125 121

    30 38 117 114 30 40 121 118

    MID SECTION

    RUN 1

    TIME Pipe #1 (C) Pipe #2 (C) Pipe #3 (C) Pipe #4 (C) Pipe #5 (C) Pipe #6 (C)

    0 38 90 90 56 72 34

    5 38 112 110 106 90 36

    10 39 106 108 104 92 38

    15 39 114 108 108 94 38

    20 39 114 110 108 94 38

    25 39 111 109 105 92 38

    30 39 112 112 110 94 38

    MID SECTION

    RUN 2

    TIME Pipe #1 (C) Pipe #2 (C) Pipe #3 (C) Pipe #4 (C) Pipe #5 (C) Pipe #6 (C)

    0 38 90 90 94 94 38

    5 38 112 110 111 94 37

    10 39 106 108 112 95 3

    15 39 114 108 112 96 38

    20 39 114 110 113 97 38

    25 39 111 109 116 98 38

    30 39 112 112 38 38 38

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    ANALYSES AND CALCULATIONS

    Bare and Lagged Pipes

    1. Using the bare pipe (without any coating) as the reference, determine the lagging efficiency

    of each insulation for each run. Explain.

    =( )

    Where:

    Vb= volume of condensate collected for bare pipe

    Vl= volume of condensate collected for lagged or insulated pipe.

    Table 1. Lagging efficiency for pipes in the first run

    Pipe A B C D E F

    Condensate

    Volume (ml)

    298 642 790 720 480 240

    Lagging Efficiency

    0.58611111 0.10833 -0.0972 0 0.33333 0.66667

    Table 2. Lagging efficiency for pipes in the second run

    Pipe

    A

    B

    C

    D

    E

    F

    Condensate Volume

    (ml)

    422 616 942 845 555 390

    Lagging Efficiency 0.50059172 0.27101 -0.1148 0 0.3432 0.53846

    Based from the data, the pipe insulated with Styrofoam/polystyrene (Pipe D) gives the highest

    lagging efficiency. Pipe A insulated with asbestos also shows a high lagging efficiency for both

    runs.

    2. Is there a trend in terms of the pressure of steam and the amount of condensate collected?

    Plot values to support your explanation.

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    Table 3. Amount of condensate collected for each pipe at different steam pressure

    From the graph, the majority of the pipes show a directly proportional relationship between

    the steam pressure and the amount of condensate collected. Excluding Pipe B (which shows

    a rather inverse relationship), it can be attributed to the fact that at a higher pressure, the

    steam supply to the experimental equipment also increases, which also results to a higher

    volume of condensable steam.

    3. Calculate the theoretical heat lost from each pipe and the surface temperature of the pipefor each run. Compare these with experimental values. Determine the percentage difference.

    Explain your findings.

    q = (hc + hr )Ao (Ts Ta )

    0

    200

    400

    600

    800

    1000

    0 10 20 30 40

    Condensatevolume(m

    L)

    Pressure (psi)

    Pressure vs. Condensate volume

    Pipe A

    Pipe B

    Pipe C

    Pipe D

    Pipe E

    Pipe F

    Pipe A Pipe B Pipe C

    Pressure Volume Pressure Volume Pressure Volume

    20 298 20 642 20 790

    30 422 30 616 30 942

    Pipe D Pipe E Pipe FPressure Volume Pressure Volume Pressure Volume

    20 720 20 480 20 240

    30 845 30 555 30 390

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    Table 4. Experimental and theoretical heat losses for pipes for run 1

    Table5. Experimental and theoretical heat losses for pipes for run 2

    Pipe A

    Pipe B

    Pipe C

    Pipe D

    Pipe E

    Pipe F

    Heat loss(experimental)

    490.64 716.2 1095.22 982.45 645.28 453.44

    Heat loss(theoretical)

    495.98 965.54 1320.72 972.48 737.41 410.07

    % difference 1.08 25.82 17.07 1.02 12.49 10.58

    From tables 4 and 5, the differences in values can be attributed to either errors in part of the

    experimenters in performing the experiment, the conditions of the environment and theirimpact with the surface temperature readings and also with the heat losses induced by the

    friction within the pipes as the steam travels through the line.

    4. Based on the actual heat lost measured, determine the effective overall heat transfer

    coefficients for all the pipes.

    =

    ( )(1800 )

    Pipe A

    Pipe B

    Pipe C

    Pipe D

    Pipe E

    Pipe F

    Heat loss(experimental)

    384.82 829.05 1020.17 929.77 619.85 309.92

    Heat loss(theoretical)

    364.89 787.25 1206.94 930.2 660.25 410.07

    % difference 5.46 5.34 15.47 0.056 6.12 24.42

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    Table6. Experimental overall heat transfer coefficient for each pipe for run number 1

    Pipe A Pipe B Pipe C Pipe D Pipe E Pipe F

    Condensate

    volume (mL)298 642 790 720 480 240

    ms664393.98 1431345

    1761313 1605247 1070165 535082

    Uo(experimental)

    15.0153 81.2562 99.9882 91.1258 54.2893 12.0929

    Table7. Experimental overall heat transfer coefficient for each pipe for run number 2

    Pipe A

    Pipe B

    Pipe C

    Pipe D

    Pipe E

    Pipe F

    Condensate

    volume (mL)422 616 942 845 555 390

    ms 942359.76 1375577 2103561 1886953 1239359 870901.2

    Uo

    (experimental)15.0153 81.2562 99.9882 91.1258 54.2893 12.0929

    From tables 6 and 7, pipes which are insulated have the lowest values for Uo. In principle, the

    lower the value for the over-all heat transfer coefficient, the better the performance of an

    insulator in avoiding heat losses.

    Conc lus ion :

    It can be concluded that in determining the lagging or insulating efficiency, the thermal

    conductivities of the insulating material are very important. On the other hand, the determined

    experimental and theoretical heat losses for each pipes shows reasonably same results

    through the use of the heat transfer coefficient for convection and radiation in computing for

    heat losses.

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    REFERENCE:

    Ronderf C. Bolo and Servillano Olano, Jr., Spreadsheet Calculations for Unit Operations

    Laboratory ExperimentsProceedings of the 2002 Chemical Engineering Congress, De

    La Salle University, December, 2002