CCGP-D-12-00007R2-Behera

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  Coal Combustion and Gasification Products is an international, peer-reviewed on-line journal that provides free access to full-text papers, research c ommunications and supp lementary data. Submission details and contact information are available at the web site. © 2013 The University of Kentucky Center for Applied Energy Research and the American Coal A sh Association Web: www.coalcgp-journal.org ISSN# 1946-0198 Volume# 5 (2013) Editor-in-chief: Dr. Jim Hower, University of Kentucky Center for App lied Energy Research CCGP Journal is collaboratively published by the University of Kentucky Center for Applied Energy Research (UK CAER) and the American C oal Ash Association (ACAA ). All rights reserved. The electronic PDF version of t his paper is the official archival record for the CCGP journal. The PDF version of the paper may be printed, photocopied, and/or archived for educational, personal, and/or non-commercial use. Any attempt to circumvent the PDF s ecurity is pr ohibited. Written prior consent must be obtained to use any portion of the paper’s content in other publications, databases, websites, online archives, or similar uses. Suggested Citation format for this article: Behera, Snehasis, Sahu, A.K., Das, Sudipta, Senapatil, P.K., Mishra, S.K., 2013, Scale-Up Design and Erosion Studies of Bottom Ash in Pneumatic Conveying System . Coal Combustion and Gasification Products 5, 1-8, doi: 10.4177/CCGP-D-12-00007.1

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Transcript of CCGP-D-12-00007R2-Behera

  • Coal Combustion and Gasification Products is an international, peer-reviewed on-line journal that provides free access to full-text papers, research communications and supplementary data. Submission details and contact information are available at the web site.

    2013 The University of Kentucky Center for Applied Energy Research and the American Coal Ash Association

    Web: www.coalcgp-journal.org

    ISSN# 1946-0198

    Volume# 5 (2013)

    Editor-in-chief: Dr. Jim Hower, University of Kentucky Center for Applied Energy Research CCGP Journal is collaboratively published by the University of Kentucky Center for Applied Energy Research (UK CAER) and the American Coal Ash Association (ACAA). All rights reserved.

    The electronic PDF version of this paper is the official archival record for the CCGP journal.

    The PDF version of the paper may be printed, photocopied, and/or archived for educational, personal, and/or non-commercial use. Any attempt to circumvent the PDF security is prohibited. Written prior consent must be obtained to use any portion of the papers content in other publications, databases, websites, online archives, or similar uses.

    Suggested Citation format for this article:

    Behera, Snehasis, Sahu, A.K., Das, Sudipta, Senapatil, P.K., Mishra, S.K., 2013, Scale-Up Design and Erosion Studies of Bottom Ash in Pneumatic Conveying System. Coal Combustion and Gasification Products 5, 1-8, doi: 10.4177/CCGP-D-12-00007.1

  • I SSN 1946 - 0198

    jou rna l homepage : www.coa l cgp - j ou rna l . o rg

    Scale-Up Design and Erosion Studies of Bottom Ash in Pneumatic Conveying System

    Snehasis Behera*, A.K. Sahu, Sudipta Das, P.K. Senapati, S.K. MishraInstitute of Minerals and Materials Technology (CSIR), Bhubaneswar-751013, Odisha, India

    A B S T R A C T

    Pneumatic conveying characteristics and scale-up studies of the bottom ash from three thermal power plants, i.e., M/s Orissa

    Power Generation Corporation (M/s OPGC), M/s Indian Metals & Ferro Alloys Ltd. (M/s IMFA), and M/s Jindal Stainless Ltd.

    (M/s JSL), were carried out in a pneumatic conveying test rig at the Institute of Minerals and Materials Technology,

    Bhubaneswar, Odisha, India. A minimum conveying line inlet air velocity of approximately 1825 m/s was required for M/s

    OPGC, M/s IMFA, and M/s JSL bottom ash. The erosion rate of M/s OPGC and M/s JSL bottom ash was less in cast-iron bend

    compared with mild-steel bend, but for M/s IMFA the erosion rate was high and similar for both types of bends. Scale-up

    design was used to determine the variation in pressure drop and phase density at constant mass production flow rate in plant

    scale. Particle degradation size distribution studies also were carried out after conveying 2 t of bottom ash out of a total

    conveying of 16 t for each source of bottom ash.

    f 2013 The University of Kentucky Center for Applied Energy Research and the American Coal Ash Association

    All rights reserved.

    A R T I C L E I N F O

    Article history: Received 18 May 2012; Received in revised form 30 November 2012; Accepted 8 December 2012

    Keywords: bottom ash; pressure drop; velocity; phase density; erosion; degradation

    1. Introduction

    In thermal power plants in India, 593 Mt of coal is used to

    produce 96.74 GW of power, and approximately 207 Mt of total

    ash is generated per year (Shah et al., 2005). Because bottom ash

    generation is 20% of total ash, approximately 41 Mt of bottom ash

    is generated per year. This ash is generally collected in a water-

    impounded hopper and sluiced into a storage lagoon in slurry

    form. It can be conveyed pneumatically to the intermediate silo

    after crushing to ,45 mm and then sent to the user industries formaking building materials and for other construction purposes

    (Shah et al., 2005). Erosion of the plant by the conveyed product is

    the first problem during installation of a pneumatic conveying

    system. To minimize plant erosion, the abrasive products, such as

    silica, sand, fly ash, bottom ash, and alumina, must be conveyed at

    low velocity. Because the conveying air velocity increases along

    the length of a pipeline, the bends at the end of the pipeline are

    likely to fail first. While transporting bottom ash pneumatically

    through the pipeline, particle degradation takes place when

    particles hit the walls. Particle degradation that occurs during

    particlewall collision is dependent upon particle impact velocity,

    impact angle, number of impacts, size, the form and material of the

    particle, thickness, and deformation of the pipeline walls (Salman

    et al., 1992).

    This article presents the results of conveying and scale-up

    studies of the bottom ash from three power plants in Bhubaneswar,

    Odisha, India: M/s Orissa Power Generation Corporation (M/s OPGC),

    Jharsuguda District; M/s Indian Metals & Ferro Alloys Ltd. (M/s

    IMFA), Choudwar District; and M/s Jindal Stainless Ltd. (M/s JSL),

    Jajpur District. Before conveying of the bottom ash, characterization

    studies were conducted to examine particle size, particle density,

    bulk density, and moisture content. The scale-up studies were carried

    out from the results of conveying characteristics of the bottom ash.

    Erosion rate studies of mild-steel and cast-iron pipe bends were

    conducted at the last bend of the conveying pipeline. Approximate

    design equations and their comparison with scale-up design

    studies and particle degradation size analysis were made by* Corresponding author. Tel.: +91674 2379359. E-mail: snehasis_behera@

    yahoo.com, [email protected]

    doi: 10.4177/CCGP-D-12-00007.1

    f 2013 The University of Kentucky Center for Applied Energy Research and the American Coal Ash Association. All rights reserved.

  • conveying 16 t of materials for each source of bottom ash to see

    how much particle degradation had taken place after 2 t of

    conveying.

    2. Material Characteristics

    2.1. Chemical analysis of bottom ash samples

    X-ray fluorescence was used to determine the elemental and

    chemical composition of the samples (Table 1). The main chemical

    components of a bottom ash were silica (6568%) and alumina

    (2427%), with lesser amounts of oxides of P, S, Ti, Fe, Ca, Mg, Na,

    and K. Other minor elements, such as V, Cr, Ba, Zr, Ni, Sr, Mn, Rb,

    and Y, were present in parts per million (Table 1).

    2.2. Description of power plants ash generation and particle shape

    The M/s OPGC, M/s IMFA, and M/s JSL power plants have a total

    installed capacity of 420, 108, and 250 MW, respectively. These

    plants generate bottom ash rates of 320, 760, and 90 t/day,

    respectively. Bottom ash was conveyed in lean slurry form of

    approximately 40% concentration by weight in a 150200-mm-

    diameter pipeline, except at M/s IMFA where the ash was piled up in

    stockyard and later taken by truck to fill a lowland area. Because the

    Table 1

    Chemical analysis of bottom ash samples (%ash)

    Chemical compound M/s JSL M/s OPGC M/s IMFA

    %Vol

    SiO2 68.471 64.65 65.784

    Al2O3 24.717 25.587 27.536

    TiO2 1.281 1.389 1.56

    Fe2O3 2.408 4.831 2.218

    K2O 0.943 0.859 1.317

    P2O5 0.562 0.689 0.798

    MgO 0.424 0.306 0.012

    Na2O 0.149 0.106 0.094

    SO3 0.089 0 0.421

    ppm

    V2O5 0 1770 0

    Cr2O3 0 180 240

    BaO 290 0 270

    ZrO2 250 130 120

    NiO 70 100 120

    SrO 100 50 140

    MnO 390 400 120

    Rb2O 60 0 80

    Y2O3 60 0 30

    Fig. 1. Particle size distribution of all bottom ash.

    Fig. 2. Schematic view of the test rig at Institute of Minerals and Materials Technology, Bhubaneswar, India.

    2 Behera et al. / Coal Combustion and Gasification Products 5 (2013)

  • boiler is stoker coal fired at the M/s IMFA power plant, the generation

    of bottom ash was 90% and the remaining 10% was fly ash.

    2.3. Moisture content, particle size, and particle and bulk density

    All bottom ash samples were dried to bring down the moisture

    content to ,1% before charging into the hopper for pneumatic

    conveying studies. The particle size distributions of M/s JSL and

    M/s OPGC were determined using a particle size analyzer (Malvern,

    Worcestershire, UK), and the M/s IMFA bottom ash size distribution

    was determined by manual sieving. Figure 1 shows the particle size

    distribution of all bottom ash samples.

    The particle densities of M/s OPGC, M/s IMFA, and M/s JSL

    bottom ash samples were 1734, 1667, and 2086 kg/m3 and the bulk

    densities were 803, 750, and 978 kg/m3, respectively.

    3. Pneumatic Conveying Test Facility at Institute of Minerals

    and Materials Technology (IMMT)

    A pneumatic conveying test rig (Figure 2) with a screw air

    compressor (0.12 m3/s, 700-kPa maximum capacity) was used for

    pneumatic conveying trials of different bottom ash samples. The

    rig has a 49-mm bore pipeline, 56-m horizontal length, and 1.79-m

    vertical length, and six bends. The test rig is instrumented with

    Table 2

    Results of all bottom ash carried out in the test rig facility at Institute of Minerals and Materials Technology, Bhubaneswar, India

    Bottom ash

    source

    Pressure drop

    (bar)

    Air flow rate

    (kg/s)

    Conveying air

    velocity (m/s)Bottom ash

    flow rate (t/h) Power (kW)

    Volumetric flow

    rate (m3/s)

    Energy

    consumption

    (kWh/t)Inlet Exit Solids loading ratio

    M/s OPGC 0.8 0.067 17.00 32.1 6.6 1.6 6.46 0.0549 4.04

    M/s IMFA 0.4 0.056 18.00 25.1 6.5 1.3 3.05 0.0453 2.34

    M/s JSL 0.7 0.098 25.40 42.9 7.37 2.6 8.49 0.0800 3.26

    Fig. 3. Erosion of mild-steel bends by pneumatic conveying of OPGC, JSL, and IMFA bottom ash.

    Behera et al. / Coal Combustion and Gasification Products 5 (2013) 3

  • Fig. 4. Erosion of cast-iron bends in pneumatic conveying of OPGC, JSL, and IMFA bottom ash.

    Fig. 5. Particle size degradation of M/s IMFA bottom ash. Fig. 6. Particle size degradation of M/s OPGC bottom ash.

    4 Behera et al. / Coal Combustion and Gasification Products 5 (2013)

  • pressure gauges, differential pressure transducers, temperature

    gauge, rotameters, digitizer, and air flowmeter.

    4. Results and Discussion of Pneumatic Conveying of Bottom Ash

    Testing of erosion and particle degradation of bottom ash from

    M/s OPGC, M/s IMFA, and M/s JSL were carried out in the test rig

    at IMMT; results are presented in Table 2. All types of bottom ash

    can be conveyed in dilute phase only, where the solids loading

    ratio (phase density) falls between 6 and 8. Conveying line inlet air

    velocity for M/s OPGC and M/s IMFA was ,18 m/s and 25 m/s for

    M/s JSL. Mass product flow was highest for M/s JSL at 2.6 t/h.

    Power (3.05 kW) and energy consumption (2.34 kWh/t) were lowest

    for M/s IMFA.

    4.1. Erosion studies of bottom ash

    Erosion in pneumatic conveying bends are dependent on

    variables such as conveying velocity, particle concentration,

    particle size, particle shape, and bend geometry (Deng et al.,

    2005; Mazumder et al., 2008). Erosion studies of all bottom ash

    were carried out by measuring the loss of erosion in grams per

    tonne of conveying in two types of bend materials, mild steel and

    cast iron, and these bends were located in the last part of the

    conveying pipeline.

    4.2.1. Erosion studies of bottom ash using mild-steel and

    cast-iron bends

    M/s OPGC, M/s IMFA, and M/s JSL bottom ash were conveyed in

    the test rig by using mild-steel and cast-iron bends incorporated at

    the last section of the conveying line. Figures 3 and 4 show total

    erosion in grams after 2 t of conveying, for a total of 8 t of

    conveying of all bottom ash materials at different air velocities,

    pressure drops, phase densities, and mass product flow rates for

    both cases of cast-iron and mild-steel bends. Erosion in the cast-

    iron bend was less than in the mild-steel bend, particularly for M/s

    OPGC. For M/s IMFA, maximum erosion occurred in both cast-iron

    Fig. 7. Particle size degradation of M/s JSL bottom ash.

    Table 3

    Scale-up design results of all bottom ash

    Bottom ash

    source

    Pressure drop

    (bar)

    Air flow rate

    (kg/s)

    Conveying air

    velocity m/sBottom ash

    flow rate (t/h) Power (kW)

    Volumetric flow

    rate (m3/s)

    Energy

    consumption

    (kWh/t)Inlet Exit Solids loading ratio

    M/s OPGC 0.8 0.665 18.00 32.1 3.05 7.29 63.83 0.543 8.75

    M/s IMFA 0.4 0.519 18.00 25.1 2.94 5.48 28.45 0.423 5.19

    M/s JSL 0.7 0.918 25.40 42.9 1.35 4.46 79.45 0.749 17.82

    Table 4

    Input data for bottom ash

    Summary of data Symbol Parameter

    Bottom ash

    UnitM/s OPGC M/s IMFA M/s JSL

    Dp Estimate total pressure drop 0.653 0.46 0.713 bar

    Gas T Air temperature 301.00 301.00 301.00 K

    R Characteristics gas constant 287.10 287.10 287.10 J/kgK

    m Viscosity of air 0.00001846 0.00001846 0.00001846 kg/ms

    Pipe Lh Horizontal length 155.00 155.00 155.00 m

    Lv Vertical length 25.00 25.00 25.00 m

    Nb No. of bends 8.00 8.00 8.00

    k Bend loss coefficient 0.15 0.15 0.15

    e Pipe surface roughness 0.15 0.15 0.15 mm

    d Diameter of pipeline 0.15 0.15 0.15 m

    Flow mp Product mass flow rate 7.29 5.48 4.46 t/h

    C1 Estimate inlet air velocity 18.00 18.00 25.40 m/s

    p2 Exit pressure 1.01325 1.01325 1.01325 barab Sum of entry, exit and bend loss 2.7 2.70000 2.70000

    Material rs Particle density 1734.00 1667.00 2086.00 kg/m3

    ds Particle diameter 212 3930 242 mm

    Behera et al. / Coal Combustion and Gasification Products 5 (2013) 5

  • and mild-steel bends. The erosion rate in the case of the cast-iron

    bend for M/s JSL was 2.1 g/t, for M/s OPGC it was 1.0 g/t, and for M/s

    IMFA it was 4.8 g/t. These values are less than those for the mild-

    steel bend, which were 3.7 g/t for M/s JSL, 3.7 g/t for M/s OPGC, and

    5.5 g/t for M/s IMFA. At an average product flow rate of 1.6 t/h and

    conveying air velocity of 20 m/s, as were achieved in this pipeline,

    the bends would last for 1216 hours.

    4.2. Particle degradation of bottom ash

    Sixteen tonnes of bottom ash from each source (M/s OPGC, M/s

    IMFA, and M/s JSL) was conveyed pneumatically in the test rig.

    Particle degradation size analyses were carried out after conveying

    2 t of the total 16 t of bottom ash. The mean particle size of bottom

    ash from M/s IMFA (Figure 5), M/s OPGC (Figure 6), and M/s JSL

    (Figure 7) was reduced from 3.93 to 0.267 mm, 212 to 127.48 mm,and 242 to 93.66 mm, respectively. Severe particle wall erosiontook place in M/s IMFA bottom ash.

    5. Scale-Up Design

    The pipeline transfers the bottom ash from intermediate reception

    hoppers to delivery silos. The reception hoppers are generally

    vacuum loaded from the duct hopper by a negative-pressure

    pneumatic conveying system. In total, the plant pipeline consists of

    155 m of horizontal pipelines, 25 m of vertical pipeline, and eight

    90u bends. The scaling parameters, i.e., horizontal distance, vertical

    lift, number and geometry of bends, and pipeline bore, were taken

    into account (see the Appendix for scaling equations). The scaling

    process was carried out in two stages. In the first stage, the scaling

    was done for pipeline geometry and included pipeline routing and

    bends that take into account the relative horizontal and vertical

    distances and the number of bends. In the second stage, scaling was

    in terms of pipeline bore to give the desired bottom ash flow rate

    (Pan and Wypych, 1992; Behera et al., 2000).

    5.1. Summary of scale-up design for all experiments at M/s OPGC,

    M/s IMFA, and M/s JSL

    Table 3 shows the scale-up design results for a plant pipeline of

    150-mm bore pipeline, 155-m horizontal length, 25-m vertical

    length, and eight bends by using the data obtained in the test

    facility at IMMT for M/s OPGC, M/s IMFA, and M/s JSL bottom ash

    samples (Table 2).

    6. First Approximation Design Methods

    The first approximation method for pneumatic conveying

    system design is based on air only pressure drop data. These

    equations (Mills, 1990; also see the Appendix) are used to find out

    the pressure drop and air mass flow rate value by taking into

    account the mass product flow rate at 7.30, 5.48, and 4.46 t/h for

    M/s OPGC, M/s IMFA, and M/s JSL, respectively, for plant design

    calculations. These figures of mass product flow rate have been

    taken from scale-up design results. Excel programming input and

    output data for all bottom ash are shown in Tables 4 and 5.

    7. Comparison between First Approximate Equations and

    Scale-Up Design Equations

    Figure 8 shows the pressure drop and phase density values of all

    bottom ash. The trend lies close to the scale-up design data, but

    prediction of phase density or mass product flow rate values was

    high compared with scale-up design data because the conveying

    air inlet value is same for both the cases.

    8. Design Calculations of a Typical Bottom Ash Collection and

    Conveying System

    A schematic of the entire ash collection and conveying system is

    shown in Figure 9. Bottom ash from the boiler is collected in three

    hoppers. Ash outlet is through a set of four grated doors. A single roll

    crusher below this gate crushes the ash to reduce the particle size to

    Table 5

    Output data for bottom ash

    Symbol Parameter

    Bottom ash

    UnitM/s OPGC M/s IMFA M/s JSL

    ma Air mass flow rate 0.6133 0.5423 0.8966 kg/s

    a Pressure loss factor 3.30172 2.80709 1.38173

    Re Reynolds no. 282015 249350 412285

    f Pipeline friction coefficient 0.00532 0.00534 0.00525

    Leq Equivalent length of pipe 224.05 223.95 224.28 m

    DPa Air only pressure drop 0.152 0.121 0.300 bar

    Dp Pressure drop 0.65290 0.46025 0.71535 bar

    w Phase density 3.3 2.8 1.4

    C1 Inlet air velocity 18.0 18.0 25.3 m/s

    C2 Outlet air velocity 29.6 26.1 43.2 m/s

    Fig. 8. Comparison of pressure drop and phase density between scale-up and

    design equations in bottom ash conveying.

    6 Behera et al. / Coal Combustion and Gasification Products 5 (2013)

  • 9 mm for pneumatic conveying. Crushed ash is pushed to a screw

    feeder that controls ash feed into the vacuum conveyor (Rastogi,

    1997; Shah et al., 2005). The pneumatic conveyor consists of 250-

    mm pipe through which materials are transferred under vacuum

    to a silo approximately 180 m away. The results of vacuum

    conveying 9-mm bottom ash where an ash transfer truck is

    interposed in the pipe approximately 30 m from the feed hopper

    are given in Figure 9. The truck has a collection tank and a pair of

    pipe headers (supply and return) above it. When docked, it

    becomes part of the conveying path and collects coarse ash (most

    of the total ash), whereas fine ash continues with the return air

    passing on to the silo. The 45-mm fine ash design results arementioned in Figure 9.

    On the top of the silo is a filter/separator that separates the fine

    ash and transfers it into the silo. Clean air passes on to the vacuum

    source, a twin lobe type mechanical exhauster. Ash from the silo is

    taken by trucks to a landfill site on the power plant premises.

    9. Conclusions

    Bottom ash with a mean particle size of 212 mm, 3.93 mm, and242 mm from M/s OPGC, M/s IMFA, and M/s JSL thermal powerplants, respectively, can be conveyed in a dilute phase mode

    positive-pressure pneumatic conveying system with 50-mm-

    diameter pipeline. These bottom ashes were successfully conveyed

    with product flow rates of up to 2 t/h at a low conveying line

    pressure drop up to 80 kPa; a minimum conveying line inlet air

    velocity of 17 m/s is required.

    The erosion rate of M/s IMFA bottom ash is very high for both mild-

    steel and cast-iron bends. In other cases, cast-iron bends erode less

    than mild-steel bends. So, all bends must be reinforced with wear-

    resistant materials and, even then, wear can be expected at some bends.

    The scale-up design studies show that this product cannot be

    conveyed in dense phase. The solids loading ratio value decreases

    by increasing conveying distance. For the plant pipeline the

    maximum phase density that can be expected with a conventional

    blow tank system is approximately 3.

    Acknowledgments

    The authors thank Prof. B.K. Mishra, Director, Institute of

    Minerals and Materials Technology, Bhubaneswar, India, for

    permission to publish this paper. We also thank Dr. Vimal Kumar,

    Head Flyash Mission, DST, Flyash Utilization Unit, Government of

    India, for funding to study the behavior of bottom ash.

    References

    Behera, S., Das, S., Jones, M.G., Mohanty, R.C., 2000. Scaling up of conveyingparameters using computer aided design from test rig data to commercialdesign parameters for crushed bath. In: International Conference on Powder &Bulk Solids Handling. IMechE, London, U.K.

    Deng, T., Li, J., Chaudhry, A.R., Patel, M., Hutchings, I., Bradley, M.S.A., 2005.Comparison between weight loss of bends in a pneumatic conveyor anderosion rate obtained in a centrifugal erosion tester for the same materials.Wear 258, 402411. doi: 10.1016/j.wear.2004.02.012

    Mazumder, Q.H., Shirazi, S.A., McLaury, B., 2008. Experimental investigation ofthe location of maximum erosive wear damage in elbows. Journal of PressureVessel Technology 130, 113031113038. doi: 10.1115/1.2826426

    Mills, D., 1990. Pneumatic Conveying Design Guide. Butterworths, London, U.K.Pan, R., Wypych, P., 1992. Scale-up procedures for pneumatic conveying design.

    Powder Handling and Processing 4, 167172.Rastogi, S., 1997. Pneumatic conveying of bottom ash. Powder Handling and

    Processing 9, 370373.Salman, A.D., Verba, A., Mills, D., 1992. Particle degradation in dilute phase

    pneumatic conveying systems. In: Proceedings of the 18th Powder and BulkSolids Conference, Chicago, IL, pp. 337346.

    Shah, S.R., Rastogi, S., Mathis, O., 2005. Applications of dry bottom ash removaland transport for utilization. Fly Ash India, New Delhi, India. http://en.wikipedia.org/wiki/Electricity_sector_in_India, accessed June 2012.

    Fig. 9. Design results of the bottom ash collection and conveying system.

    Behera et al. / Coal Combustion and Gasification Products 5 (2013) 7

  • Appendix

    See Nomenclature table for an explanation of equation symbols.

    Scaling equations

    C1~_mmatf T1

    2:737d2p1m=s 1

    Le~Lhz 2|Lv zNbLeb m 2

    _mmppp~ _mmptf|DpppDptf

    |LetfLepp

    3

    _mmppp~ _mmptf|DpppDptf

    |dppdtf

    24

    _mmapp~ _mmatf|dppdtf

    2kg=s 5

    P~202 _VV 0 lnp1p0

    kW 6

    Dpa~ 1:0z1:34 Y _mm2 atfd4|105

    0:5{1:0

    " #|100 kPa 7

    w~m

    :

    ptf

    3:6 _mmatf8

    y~4 f L

    d

    zX

    k

    9

    _VV 0~ma _RRT0

    p0m3s 10

    First approximation design equations

    f~0:001375 1z 20,000e

    dz

    106

    Re

    13

    " #11

    Leq~Lhz2Lvzbd

    4f12

    ma~pd2p1C1

    4RT13

    Dpa~ p12z

    16

    p2|

    4fLeqma2RT

    d5

    12{p2|100 14

    Dp~Dpa(1za) 15

    Re~4mapdm

    16

    a~w 17

    m~0:006515:

    T

    273:15

    1:5(Tz105:65)

    18

    Nomenclature

    Symbol (unit) Parameter

    C (m/s) Conveying air velocity

    d (m) Pipeline bore

    D (m) Pipe bend diameter

    f Pipeline friction

    k Bend loss coefficient (for smooth pipe and 90u bendswith D/d 5 10, k 5 0.1)

    L (m) Pipeline length

    ma (kg/s) Air mass flow rate

    mp (t/h) Mass product flow rate

    N No. of bends

    p (kPa) Air pressure

    P (kW) Power

    t (uC) Actual temperatureT (K) Absolute temperature 5 (tuC +273)V (m3/s) Volumetric flow rate of air

    Greek

    a Pressure loss factor

    b Sum of entry, exit, and bend loss

    Y Pipeline friction loss coefficient

    D Difference

    w Phase density

    m (Pa?s) Viscosity of air

    e Pipe surface roughness (0.015)

    gk Bend losses 5 Nb?k

    Subscripts

    1 Pipeline inlet, material feed point

    2 Pipeline outlet, material discharge point

    a Air only

    b Bends

    e Equivalent value

    h Horizontal

    min Minimum value

    0 Free air conditions

    P0 5 101.3 kN/m2

    T0 5 288 K

    pp Plant pipeline

    tf Test facility

    v Vertically up

    8 Behera et al. / Coal Combustion and Gasification Products 5 (2013)