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    DESIGN THEORY OF CIRCULATING FLUIDIZED BED

    BOILERS

    Guangxi YUE, Junfu LU, Hai ZHANG, Hairui YANG, Jiansheng

    ZHANG, Qing LIU, Zheng LI, Eric JOOS*, Philippe JAUD* 

    Department of Thermal Engineering, Tsinghua University, Beijing100084, China; * EDF France Paris 78401, France

    ABSTRACT

    Studies on circulating fluidized bed (CFB) boilers have being conducted at the Tsinghua

    University (TH) for about two decades and much of works are done to link the fundamentals with practical application. A full set of design theory was developed and some key elements of this

    theory are presented in this paper.

    First, a classification of state of the solid-gas two-phase flow in CFB boiler is given. TH’s

    studies validated that a CFB boiler can be generally described as the superposition of a fast bed inthe upper part with a bubbling bed or turbulent bed in the bottom part. A concept model ofmaterial balance for the open system of CFB boiler was developed and later improved as a more

    comprehensive 1-D model taking ash formation, particle attrition and segregation in bed into

    account. Some results of the models are discussed.

    Then the concept of State Specification of a CFB boiler is defined and discussed. The StateSpecification is regarded as the first step to design a CFB and a base to classify different style of

    CFB boiler technologies for various CFB boiler manufacturers. The State Specification adopted

     by major CFB boiler makers is summarized and associated importance issues are addressed.

    The heat transfer model originally developed by Leckner and his coworkers is adopted andimproved. It is further calibrated with experimental data obtained on the commercial CFB boilermeasurements. The principle, improvements and application of the model are introduced. Some

    special tools developed for heat transfer field test are also given.

    Also, combustion behaviors of char and volatile content are studied, and the combustiondifference between a CFB boiler and a bubbling bed is analyzed. The influence of volatile contentand size distribution is discussed. The concept of vertical distribution of combustion and heat in

    CFB boiler furnace is introduced and discussed as well.

    In the last, the suggested design theory of CFB boiler is summarized.

    Keywords: circulating fluidized bed boilers, design theory, state specification, fast bed

    INTRODUCTION

    Circulating fluidized bed (CFB) technology has gained a great progress in coal-firing boilers

    since the successful operation of the world’s first demonstration of circulating fluidized bed (CFB)

     boiler in Germany [1]. The largest CFB boiler, a supercritical unit with capacity of 460MWe made

     by Foster Wheeler Corporation, is under construction in Lagisza, Poland [2]. In China, the number

    of commercial CFB boilers that have been put into operation is over 800, among which the units

    with capacity 100-150MWe are near 30 [3]. The first 300MWe CFB boiler (Alstrom licensed) is

    in construction [3].

    Studies on CFB boilers have being conducted at the Tsinghua University (TH), Beijing,

    China since 1985, in both fundamental research and commercial development. A series of CFB

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     boilers with capacities ranging from 20t/h to 460t/h have been put into commercial operation and

    some other units with larger capacities and higher steam parameters are under design or feasibility

    study [4,5,6], based TH’s research and development (R&D) achievements. In this paper, a

    summary of the two-decade R&D works on CFB boilers by the TH research group, especially

    those works linking the fundamentals with practical application is to be given.

    TWO PHASE FLOW IN CFB BOILER

    Typically, the main loop of a CFB boiler is composed of a riser, separators and loop seals.

    For some small units, single separator and single loop seal might be applied. Nevertheless, the

    main loop is a typical solid-gas two-phase flow system with chemical reaction. Appropriate

    understanding of the fluid mechanics inside the furnace is of fundamental importance to design a

    CFB boiler.

    Theoretically, the regimes of fluidization can be classified into stationary bed (or say fixed bed), particulate fluidization, bubbling bed, slugging bed, turbulent bed, fast bed and pneumatic

    transport, depending on the gas superficial velocity u f , bed voidage and physical properties (e.g.,

    size and density) of the solid particles, as shown in Fig. 1[7]. Normally, the fluid mechanics inside

    the furnace is separately described in two parts: a lower part and upper part. In the lower part, the

    so-called dense bed, size distribution is rather wide with many coarse particles and bulk density is

    rather high. Thus, the associated fluidization regime is not necessarily fast bed, it can be bubbling

     bed or turbulent bed depending mainly on the uf .

    Al2O3 Beads

    d p=52 m

    p=3580kg/m3

    v p: particle velocity, m/s

    Pneumatic Transport

    u f  (m/s)

    Figure 1 Fluidization regimes for Al2O3 particles- bed voidage vs. superficial velocity [7]

    However, in the upper part, the main portion and so-called free board of the bed, the

    classification of its fluidization regime has been an argument in CFB boiler research community

    for a long time. Since the bulk density of most coal-fired CFB boiler furnaces (tens of kg/m3

    or

    even less) [8] is much smaller than that of fast bed reactors in chemical engineering process (in the

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    range of hundreds of kg/m3) [3], it was easily intended to classify the fluidization regime as

     pneumatic transport. However, the authors suggest that the upper part of a CFB boiler still belongs

    to fast bed rather than pneumatic transport.

    As we known, the most distinguished feature of a fast bed is the formation of cluster in the

    riser, resulting in strong vertical mixing. According to our observation, temperature distribution is

    rather uniform in the bed not only in the core region in radial direction but also along the furnace

    height, even the combustion keeps going in the gas-solid flow and the furnace is surrounded by

    water-cooled membrane. Such temperature uniformity can be only maintained by the existence of

    strong vertical solids mixing and thus the existence of clusters.

    During the CFB boiler evolution history in China, a CFB boiler was once regarded as nothing

    else than the traditional bubbling bed boiler with an extended free board. However, the

    fluidization regime inside a bubbling bed boiler is totally different from that inside a CFB boiler.

    In a bubbling bed, only small amount of particles are entrained into the free board so that

    combustion fraction in the dense bed is about 75-85%, and a rather amount of immersed tube has

    to be arranged there. However, in a CFB boiler, much more particles are entrained into the free

     board so that combustion fraction in the dense bed only occupies about 50-60%, and no

    convective heat transfer surfaces are necessary to be arranged there. It was found that for a

     bubbling bed boiler retrofitted with fly ash recirculation, if the recirculation flow rate is above a

    critical amount, the hydrodynamic and thus combustion and heat transfer behaviors inside the bed

     become CFB-alike and qualitatively different from bubbling bed. The temperature in the dense

     bed can be even too low to keep stable combustion.

    Given the upper part of a CFB boiler is a fast bed, shown in Fig. 1, for certain particles, flow

    dynamics of the two-phase flow, or called hydrodynamic state can be defined by two parameters:

    superficial velocity uf  (m/s) and solid circulating rate Gs (kg/m2⋅s). For engineering simplicity, Gs 

    is also assumed to be the solid flux at the separator entrance.

    Then the onset superficial velocity of fast bed for certain size particle is defined as uc [9]:

    uc=(3.5-4)ut  (1)

    where, ut is the terminal velocity of particle, m/s.

    The minimum solid circulating rate to enter the fast bed regime Rmin can be estimated by [7]:

    2.25 1.627

    c f min 0 627

     p p f 0 164[g ( )].

    u R

    . d    ρ ρ

     ρ =

    −  (2)

    where,  ρ f  is the gas density, kg/m3;  ρ  p is the particle density, kg/m

    3; and g is the gravity, m/s

    2.

    It can be seen from (2), for a certain uf , CFB boiler can operate at various states in fast bed

    regime because the bed inventory in CFB boiler is composed of different size particles.

    MATERIAL BALANCE IN CFB BOILER

    Based on the observation on coal-fired CFB boilers, the average size of bed inventory, which

    is often called bed quality, is finer than that of bubbling bed boiler and even finer than that of

    feeding raw coal. Thus, an accumulation process for size selection exists during the operation. In

    order to study the material balance, a conceptual model was built up by TH’s CFB boiler research

    group [10].

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    CFB boiler is an open system for solid flow

    Different from most chemical reactors, a CFB

     boiler is an open system for both gas flow and solid flow.

    The solid inputs are ashes formed from feeding fuel,

    limestone and, sometimes, inert sands for making up.

    There are two outlets for solids to exit: one is on the

    furnace bottom for draining bed ashes and the other is on

    the separator top for blowing fly ash, as shown in Fig.2

    [11].

    Conceptual model of material balance in CFB boiler

    Solid particles of any size interval should be kept in

     balance during the stable operation, so

    Gin(i)=Gout(i)+ F (i) (3)where, Gin(i) is the flow rate of solids with size d i 

    entering the system, which is from the ash formation of

    coal and limestone or make-up sands;  F (i) is the flow

    rate of fly ash with size d i; Gout(i) is the flow rate of

    drained bed ash with size d i; X (i) is the fraction of particles with size d i in dense bed; and E (i) is

    the entrainment rate of particles with size d i.

    The entrained flow rate of particles with size di is accounted as E (i)× X (i).

    The separator efficiency for size d i based on the entrained flow is:

      

    s

    ( )

    ( )=1 ( ) ( )

     F i

    i  E i X iη    − ⋅   (4)

    Then,

     F (i)= E (i)⋅ X (i)⋅(1-η i) (5)

    If we define the bed ash drain efficiency η o based on the entrained flow as:

    η o(i)=1-Gout(i)/ E (i)× X (i) (6)

    Then, the overall efficiency of the system η m to maintain particles with size d i is:

    outm o

    ( )+ ( )( )=1 1

    ( ) ( )i i

    G i F ii

     E i X iη η η − = + −

    ⋅  (7)

    Material balance equation can be expressed as:

    Gin(i)=Gout(i)+ E (i)⋅ X (i)⋅(1-η i) (8)

    Σ X (i)=1 (9)

    Provided E (i) is properly given in literature and segregation in dense bed can be neglected,

    then after solving the equation group, we have:

    outout

    ( )=

    ( )

    G iG

     X i  (10)

    Some interesting and valuable results can be derived from the model. Figure 3 depicts the

    variation of overall system efficiency η m  with particle size d   and the size distribution of bed

    inventory for given separator efficiency η s and ash drain efficiency η o. It can be seen that η m first

    Gin(i)

    Gout(i)

     F (i)

     X (i)

       (   i   )      ×    X

       (   i   )

    Figure 2 Concept of material

    balance of CFB boiler

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    increases with the increasing of d i and

    after it reaches a peak value it

    decreases with the further increasing

    of d i. As d   is smaller than the peak

    value, η m is dominated by η s and as d  

    is larger than the peak value, η m  is

    dominated by η o. The particle size

    distribution of bed inventory, also a

    solution for given η s and η o, exhibits

    a cap-like curve. Moreover, the

     particle size corresponding to the

     peak value on the size distribution

    curve is consistent with that

    corresponding to the highest η m.

    The size distributions of bed

    inventory for two separators with

    different cut sizes d 50  and d 100  are

    shown in Figure 4, for three different

    uf s while the ash drain efficiency η o is

    the same. It can be seen, as the

    material balance is built up, the size

    distributions of bed inventory are

    remained. For a separator with better performance, namely smaller d 50  and

    d 100, the particle size corresponding to

    the peak value of the size distribution

    curves is smaller. This result is

    straight forward since more fine

     particles are captured if separation

    efficiency increases. For the same

    separator, for different uf s, the particle

    size corresponding to the peak values on the frequency distribution curves are nearly constant. As

    uf  increases, more fine particles are entrained into and stored in the free board. At the same time,Gs increases and the amount of returning particles increase, forcing more ash particles including

    the particles less than d 100  are drained from the bottom. As a result, the mean particle size

    decreases and fewer particles can be entrained and thus Gs decreases. When balance is reached,

    more particles around the mean value are drained, and consequently the overall distribution of the

     particles becomes wider though the mean particle value keeps nearly the same.

    It is clear that although the size of feeding particles into system is widely distributed, the CFB

     boiler system behaves like size selection machine. Coarse particles which can not be entrained are

    drained out from bottom of bed, and very fine particles which are difficult to be capture by the

    separator are carried out the system by flue gas. Only those particles that can be entrained by the

    0

    20

    40

    60

    80

    100

    0 200 400 600 800 1000

    Particle size d i  µm

       E   f   f   i  c   i  e  n  c  y     η   i   %

    0.0

    0.1

    0.2

    0.3

       F  r  e  q  u  e  n  c  e   d   i  s   t  r   i   b  u   t   i  o  n   P   i

       %   /     µ  mOverall efficiency 

    Ash drain efficiency

    Separator  efficiency 

    Bed material size

    distribution 

    Figure 3 Overall efficiency of the system

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0 200 400 600 800

    Particle size d  i  µm

       F  r  e  q  u  e  n

      c  e   d   i  s   t  r   i   b  u   t   i  o  n      P     i

       %   /     µ  m uf  

    m/sd 50µm

    d 99µm

    5.5 17 110

    5.5 27 160

    5.0 17 110

    5.0 27 160

    4.5 17 110

    4.5 27 160

    Figure 4 Size distribution of bed inventory for

    different cyclone efficiencies

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    flue gas and also be captured by the separators are retained in system for circulating. The results

    indicate that the average size of bed inventory (bed quality) and the circulating rate of ash are

    depending on the performance of separator and bed ash drain characteristics, besides the

    superficial velocity and ash formation characteristics of coal and limestone. Thus the overall

    system efficiency, especially the efficiency for circulating ash (near the d 99 of separator) is very

    important and sensitive for the circulating rate. Our studies on the commercial CFB boilers

    showed that G s is typically in the order of 103 larger than the feeding rate of such size particles, so

    the efficiency near this size should be over 99.7%. This result is not only important for the design

    of separator but also important for determination of bed ash drain characteristics. In engineering

     practice, sometimes, ash drain facilities with specific size classification, combined with ash cooler,

    are needed to keep fine circulating ash in bed.

    1-D model for CFB material balance

    A 1-D material balance model was developed by the co-research work between TU and EDF[12]. Standard bench-scale facility and test procedure were implemented to measure the coal ash

    formation and attrition characteristics [13] that are used as input data for the model. The particle

    segregation in dense bed was taken into account in the model to characterize the bed ash drain.

    The prediction on resident time of different size particles and its impact on attrition is a novel

    feature of the model. The model was calibrated by the field test data from three boilers in China

    and successfully applied to predict the

    material balance in the Gardanne’s

    250MWe CFB boiler. Figure 5

    compares the size distributions of fly

    ash between the data measured in thefield of this boiler and those predicted

     by the 1-D model. It can be seen that

    there is an important impact of

    attrition on ash size formation.

    Without taking the attrition of solid

     particles into account, remarkable

    discrepancy would be induced.

    Figure 6 is the comparison of the

     bulk density along the height of

    furnace by field test and model prediction. 

    STATE SPECIFICATION FOR CFB BOILER DESIGN

    State Specification and its importance

    The “State Specification” for a CFB boiler means to keep the CFB boiler in a specific state

    such that it can operate stably and continuously. From previous discussions, the state of a CFB

     boiler can be represented by the superficial gas velocity uf  and solid recirculation rate Gs. The uf  is

    a design and operating parameter, while the Gs  is a dependent variable on the uf , separation

    ¿ÅÁ£Ö±¾¶  (micron)

    10 100 1000 10000

        Ö    Ê    Á  ¿   Æ  µ   ¶    È

        (   %   /  m   i  c  r  o  n   )

    0.000

    .002

    .004

    .006

    .008

    .010

    .012

    .014

    .016

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    Measurement

    Intrinsic

    Model prediction

       F  r  e  q  u  e  n  c  e   d   i  s   t  r   i   b  u   t   i  o  n   P   i

       %   /     µ  m

    Particle size d i  µm

    Figure 5 Comparison of model prediction on the

    ash formation w/o attrition with the data measured in

    the field for a 250MWe CFB 

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    efficiency, ash drain efficiency and solid inputs in the open system. For an industrial combustion

     process, the operating state has to be controlled to a stable state.

    Figure 6 Comparison of model prediction on the pressure drop profiles along the

    furnace height with the data measured in the field for a 250MWe CFB boiler

    In case that the feedings of particles such as coal, limestone or make-up sands are varying,

    the state of a CFB boiler might keep changing as well if Gs can not be controlled. Consequently,

    the heat transfer coefficients between water-wall membrane and solid-gas flow in furnace, which

    strongly depends on the bulk density [14], and the fractional fuel heat releasing along the furnace

    height could not be kept stable during

    operation. Fortunately, as we

    discussed in the material balance

    section, Gs  can be manually

    controlled by adjusting the bed

    inventory.

    Shown in Fig. 7, the increasing

    of the bed inventory leads the

    increasing of bulk density in furnace,

    and thus the increasing of Gs  at the

    furnace outlet.

    State Specification plays a

    fundamental role in CFB boiler

    design. In engineering practice,

     before conducting the detailed design,

    CFB boiler designers usually selected

    a specific state in fast bed regime for

    0.0

    0.2

    0.4

    0.6

    0.8

    1.0

    0.0 0.5 1 .0

    D im e n s io n le s s P re s s u r e

       D   i  m  e  n  s   i  o  n   l  e  s  s   H  e   i  g   h   t

    0.0

    0.2

    0.4

    0.6

    0.8

    1.0

    0.0 0.5 1.0

    Dimensionless Pressure

       D   i  m  e  n  s   i  o  n   l  e  s  s   H  e   i  g   h   t

    Dot: measurements

    Line: Model Prediction

    Case 2Case1 

    Dot: measurements

    Line: Model Prediction 

    0

    0.2

    0.4

    0.6

    0.8

    1

    0 0.2 0.4 0.6 0.8 1

    Demensionless bulk density

       D   i  m  e  n  s   i  o  n   l  e  s  s   h  e   i  g   h   t

    1- Case 12- Case 2

    3- Case 3 

    1 2 3

     

    Figure 7 Bed inventory vs. the bulk density in furnace

    and circulating rate G s 

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    the CFB boiler, namely to perform State Specification for a CFB boiler. After State Specification

    (with fixed uf   and Gs), designers started to collect much referential data such as heat transfer

    coefficients and fractional heat releasing along height of furnace, mainly from the field test on

    demonstration boilers collaborated with laboratory researches. This accumulation is actually a

    long-term R&D work. Based on State Specification and the following data accumulation, a

     program, so-called Design Code, would be developed to design the layout and components of the

    CFB boiler. Once CFB boilers designed by the Design Code are put into commercial operation,

    more data are provided to improve and mature the Design Code. As a result, on one hand, each

    CFB boiler manufacturer owns a specific Design Code as a commercial secret and makes CFB

     boilers in different styles; on the other hand, it is also very difficult and challenging to change the

    Design Code once it becomes a design standard because all design data based on a specific state of

    a CFB boiler need to be re-accumulated. Consequently, special cautious should be paid in State

    Specification.

    Major Consideration in State Specification

    The determination on superficial velocity uf  

    The uf  in a CFB boiler should be higher than the onset velocity of fast bed corresponding to

     particle size as mentioned before. Some designers favor higher uf s in order to obtain higher

    specific cross section load. However, uf   is limited by the erosion on the vertical water wall,

     besides the resident time for fine coal particles burnout and de-NOX [15].

    The determination of solid circulating rate Gs 

    The Gs should be more than the minimum solid circulating rate of fast bed regime - Rmin as

    discussed before; otherwise the bed is a bubbling bed. The upper limitation for Gs depends on

    several considerations. For example, since Gs  is related to the total bed inventory (Fig. 7), it isrelated to the power consumption of draft fan. In addition, the total bed inventory can be divided

    into circulating ash inventory that is important for keeping an enough amount of Gs, and the coarse

     particle inventory that is important for keeping sufficient resident time for the burnout of coarse

    coal particles. Recent research in China shows that the solid suspension in furnace influences gas

    diffusion, thereby the burnout efficiency of coal char. Another factor limiting Gs is the erosion in

    furnace.

    State Specification Practices

    The Gs-uf  diagram shown in Fig. 8 summarizes the State Specification done by several major

    CFB boiler manufacturers in the world. Because few data on circulating rate for commercial CFB

     boilers were published, much of the data were by our estimation or by our field measurements

    (most CFB boiler makers have demonstration boilers in China).

    In above state diagram, the dot-dash curve close to the uf axis is the onset circulating rate of

    fast bed which is based the calculation assuming the particle size is around 200µm (according our

    observation, the cut size of circulating material for most CFB boilers is around 150-250µm

    [4,16,17]. Below the line, fast bed state can not be realized. Above this curve, there are two curves

    (one in dot-dash, and the other in dash) representing the maximum circulating rates for CFB boiler

    with one stage cyclone and two stage cyclones in serial respectively, both predicted by TH- EDF

    material balance model assuming no limestone or inert additives are added. Two dot curves

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    approximately parallel to the Gs axis stand for the erosion limitation for lignite combustion and

    hard ash content coal combustion respectively. These limitations are from our observation for a

    group of CFB boilers with different design statuses and for burning different coals in China.

    According to our observation, the hardness of ash and the superficial velocity have more

    significant impact on erosion than the circulating rate. We have to point out here, for some CFB

     boiler technologies of which uf  is near or over 6m/s, serious erosion has been found on the vertical

    water wall in furnace within limited operating period burning lean coal, bituminous or anthracite

    coal. As shown in Fig. 8, those CFB boilers are operating at the states near to the erosion line.

    Although, no erosion problem on vertical water wall has been reported for the boilers using same

    technology while lignite is burning, it is safer for the designers to select uf  to be lower than 5.5m/s

    in case fuel quality can not be guaranteed.

    Fluidizing velocity uf  m/s

    0 1 2 3 4 5 6 7 8 9

    One stage cyclone

    Soft coal

    C

    D

    E

    G

    H

    I

    B

    A

    Commended

    F

       A  s   h  c   i  r  c  u   l  a   t   i  n

       r  a   t  e   G

        k

       /  m

       2 ⋅  s

    10

    30

    5

    10

    15

    20

    25

    Hard coal

    Fast bed limit

    Limits for erosion

     protection

    (Two stage cyclone)

    Figure 8 State Specification by several major CFB boiler manufacturers

    In fact, the selection of acceptable fast bed state is limited within a small area in the statediagram. TH also suggest its own state (marked in asteroid *), which is safe for most coal types

    and the Gs is also far away from the material balance limit.

    Clearly, after stated of a CFB boiler is specified, a reliable material balance model is needed

    for designers to validate the material balance for design coal. The bench-scale tests on ash

    formation and attrition characteristics for coal and limestone are strongly suggested to be done

    first. With those experimental data, designers can use the model to check if the maximum ash

    circulating rate has enough margins for the specified state. If it does not, the model can estimate

    the quantity and quality of make-up sands.

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    HEAT TRANSFER IN CFB FURNACE

    There are enormous literatures

    on heat transfer research in CFB boiler s [18~21]. They are valuable

    for understanding the mechanisms

    of heat transfer in bed, but difficult

    to be directly used into application.

    For engineering purpose, TU has

    conducted a series of experimental

    studies on the commercial CFB

     boilers. A Heat Flux Probe and a

    Solid Suspension Density Probe

    were developed to measure the heattransfer coefficients and solid

    density respectively and

    successfully applied in the field

    tests. The schematics of heat flux

     probe and local bulk density probe

    are shown in Fig. 10 and Fig. 11

    [22]. At the same, a semi-empirical

    model was developed based on the suggestions from Bo Andersson and Leckner [23] and further

    correlated with the field data.

    The overall heat transfer coefficient between two phase flow and the water wall, α b, is mainly

    composed of two components – particle suspension convective heat transfer coefficient α c  and

     particle suspension radiative heat transfer coefficient α r .

    α  b=α c+α r   (11)

    The α c is expressed as the function of local bulk density of solid suspension  ρ  as:

    α  b=a ρ b  (12)

    where, a and b are correlation parameters with data from the field test. The α r   is calculated by

    following equation:

    )(*)()111

    /(1 w b2

    w

    2

     b

    w b

    T T T T r    ++⋅−+=   σ ε ε 

    α    (13)

    where, T and  ε  denote for temperature emissivity respectively, and the subscripts of b  and w 

    denote respectively the suspension and water wall.

    Later on, the heat transfer model was improved by taking the geometric factor of water

    membrane into account. TH’s heat transfer mode has been proved to be simple and with satisfied

    accuracy for engineering purpose, and it has been practiced in the design of more than one

    hundred units of CFB boilers with different capacities.

    More detailed information about the model can be found in other publications [24].

    COMBUSTION IN CFB

    BottomCover 

    Upper 

    Cover 

    SlideGuide

    SlideControl Bar   

    Figure 10 Sampling probe for bulk density

    Thermal insulation layer water outlet Protecting shell

    Thermocouples in probe surface

    water inlet

    Thermocouples in center 

    Probe

    Figure 11 Schematic of Heat Flux Probe 

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    Coal combustion modeling and bench-scale experiments also have been extensively

    conducted at TH. It was found that the coal particles, as soon as fed into CFB boiler furnace,

    experience a primary fragmentation by devolatilization or by thermal stress, and then a secondary

    fragmentation by combustion of char [25]. The volatile combustion occurs mainly in bubbles in

    the dense bed and in dilute phase in the freeboard. The char combustion occurs in emulsion phase

    in the dense bed and also in dilute phase in the freeboard. The combustion rate of char is

    controlled by both reaction kinetics and gas diffusion.

    Our studies also found that the combustion occurring in the dense bed of a CFB boiler is in

    fuel lean condition, which is on opposite of a bubbling bed boiler [26]. The result matched the

    experimental observation by Leckner [27], who reported the vigorous fluctuation of oxygen in bed.

    Our later research proved such phenomena is contributed to the average particle size in CFB

     boilers (around 200µm) is much smaller than that in bubbling bed (around 1mm) [28]. Compared

    with bubbling bed boilers, in CFB boilers, the fraction of fluidization air into emulsion phase is

    smaller and the resistance of gas exchange between bubble phase and emulsion phase bed is

    stronger. Char combustion mostly occurs in emulsion phase in the dense bed, consuming most of

    oxygen over there. Since oxygen can not be compensated from bubbling phase, the CO

    concentration on the boundary of dense bed of CFB boiler is very high [29]

    Again, the combustion theory was applied to the commercial CFB boiler design. The

    concept so-called “vertical distribution of combustion and heat in furnace” was introduced by TH

    [28]. This concept is useful for boiler designers to arrange heating surfaces in furnace and it was

    also validated by gas sampling along the furnace height of some commercial CFB boilers. The

    field test data of vertical distribution of combustion and heat were also used to correlate the 1-D

    combustion model developed by TH. Figure 12 shows the experimental results of accumulative

    heat released along the

    height of a bench scale CFB

    apparatus.

    Both modeling and

    measurement showed that

    the vertical distribution of

    combustion and heat in CFB

     boilers are strongly impacted

     by the volatile content and

    size distribution of fuel. Theresults shown in Fig.13

    indicate that volatile matter

     prefers to be burnt in the

    upper part of the furnace and

    so does fine char particles.

    Therefore, proper size

    distribution of specific

    feeding fuel is required to satisfy a uniform temperature distribution in CFB boiler furnace.

    An interesting result should be mentioned is that the accumulation of heat releasing in dense

    0.0

    0.2

    0.4

    0.6

    0.8

    1.0

    0.0 0.2 0.4 0.6 0.8 1.0

    Dimensionless height

       A  c  c  u  m  u

       l  a   t   i  v  e  c  o  m   b  u  s   t   i  o  n   h  e  a   t   f  r  a  c   t   i  o  n

    Figure 12 Distribution of the accumulative heat released along

    the height of a bench-scale CFB boiler

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     bed of CFB boiler is much less than

    that of in bubbling bed. This was

    explained before, and also tells us

    why we have to put certain amount of

    immersed heating surface in bubbling

     bed to keep heat balance, but it is not

    needed for CFB dense bed. 

    CONCLUSIONS

    A set of design theory for CFB

     boiler has been developed by the

    researchers at Tsinghua University,

     based on twenty-year research anddevelopment experience on CFB

     boiler. The theory couples the

    fundamental studies in the laboratory

    with the experiments on the

    commercial CFB boilers, and has

     been applied in designing more than

    100 commercial CFB boilers. Followings are a few main points of the design theory.

    1. The flow pattern inside CFB boiler furnace is classified as the superposition of a fine

     particle fast bed in the upper part and a bubbling bed or turbulent bed in the bottom part with bed

    coarse particle segregation.2. CFB boiler is an open system for solid-gas flow. Modeling studies shows the bed quality

    strongly depends on the overall system efficiency and ash size formation and attrition of coal on.

    3. The state of a CFB boiler is defined by superficial velocity u f  and circulating rate G s. A

    CFB boiler can operate at different states in fast bed regime with a given u f and dependent G ss by

    adjusting the bed inventory during operation.

    4. As first step of process design, CFB boiler designers specified a firm state of fast bed for

    the CFB boiler burning design coal. This step is called State Specification and is the base of CFB

     boiler design. The State Specification is mainly performed on engineering experience.

    5. After State Specification, double check the material balance for design fuel by material

     balance model and corresponding ash formation and attrition experiments is suggested. If the

    material balance does not satisfy, certain amount make-up inert sands instead of selecting a new

    state is recommended, because almost all design data are based on the specified state, including

    local heat transfer coefficients and combustion heat releasing profiles.

    6. A simple model on heat transfer suggested by Bo Leckner and his coworkers can be

    adopted and improved, and integrated in the Design Code for commercial CFB boiler design. The

    model has satisfied accuracy in engineering practices.

    7. Combustion of char and volatile content shows different behaviors in CFB boilers. The

    coal combustion also is different between a CFB boiler and a bubbling bed. The concept of

    vertical distribution of combustion and heat in CFB boiler furnace was introduced. Modeling and

    0

    0.2

    0.4

    0.6

    0.8

    1

    0 1 2 3 4 5

    Height h m

       A  c  c  u  m  u   l  a   t   i  v  e  c  o  m   b  u  s   t   i  o  n

       h  e  a   t   f  r  a  c   t   i  o  n

    V daf 34.4%

    Char  

    0.5~0.6mm

    1.0~1.6mm

    Figure 13 Vertical distributions of combustion and

    heat inside CFB furnace burning coals with different

    volatile content and coal size

    0

    0.2

    0.4

    0.6

    0.8

    1

    0 1 2 3 4 5

    Height h m

       A  c  c  u  m  u   l  a   t   i  v  e  c  o  m   b  u  s   t   i  o  n

       h  e  a   t   f  r  a  c   t   i  o  n

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    experimental studies were conducted on the coal combustion in CFB boilers indicated that volatile

    matter prefers to be burnt in the upper part of the furnace and so does fine char particles. Therefore,

     proper size distribution of specific feeding fuel is required to satisfy a uniform temperature

    distribution in CFB boiler furnace.

    ACKNOWLEDGMENTS

    Financial supports of the present investigation by EDF and Chinese National Key Projects of

    Tenth-Five Plan are gratefully acknowledged.

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     Note: Will be published in the 18th International Conference on Fluidized Bed Combustion,Toronto Canada, 2005