Calculate Drying Costs

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    Dr. Jim Reeb, Ph.D.

    Associate ProfessorForest Engineering, Resources and Management

    54-574-6537 Ext [email protected]

    Compare Costs of DifferentFuels for Drying Lumber

    PICMET 11International Conference

    July 31-August 4, 2011Portland, Oregon, USA

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    What the heck is a British Thermal Unit (Btu) andwhy do we care?

    One Btu is the amount of energy needed to raise thetemperature of one pound of water one degree Fahrenheit,and at sea level it takes 1,000 British thermal units of energyto evaporate 1 pound of water.

    Different sources of energy, such as natural gas, electricity,

    propane and wood can be compared using their heatcontent. In the US, the most common measure of heatcontent is the British Thermal Unit (Btu).

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    Calculating Energy Use

    Wood

    Btu

    Gas OilElectricity

    Conversion values:

    Unit of wood is 200 cu. ft.

    = 1900 lbs. sawdust= 2600 lbs. bark

    (Dry lb. is = 8,500 Btus

    ranges from about 7,600-9,600 Btus/lb)

    Therm of gas is = 100,000 Btu

    Gallon of heating oil is = 140,000 Btus

    ~

    ~

    ~

    ~KWH of electricity is = 3,415 Btus

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    Source: Understanding Wood by Bruce Hoadley

    Water and Wood

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    RELATIVE ENERGY80% to 15%

    0 10 20 30 40 50 60 70 80 and higher

    Moisture Content, % (lb HOH/lb BD AIR)

    1500

    1200

    900

    600

    300

    0

    1000 Btu/lb2300 kJ/kg

    Energy to evaporatefree water

    Energy to evaporatebound water

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    I!"RTANT T" #N"$ "$ T"

    CALCULATE ENERGY U&E

    ust 'e a'le to (eter)ine t*e total energy

    use o+ all sources ust 'e a'le to (eter)ine *o, )uc* ,ater

    ,as re)o-e( +ro) t*e ,oo(

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    .UEL VALUE& ."R$""/ GA& "IL AN/

    ELECTRICITY ."R

    /RYING

    $/unit $/MMBTU*

    Wood

    5040 4.033.22

    $/therm

    Natural gas 0.5

    0.6

    6.43

    7.71

    $/barrel

    No. 6 Heavy oil 75.00 14.43

    $/KWH

    Electricity .05

    .06

    14.64

    17.57

    *The assumed combustion efficiencies of thethree fuels are 61.2%, 77.8%, 82.5% and

    100%, respectively. The wood fuel is at 45%MC (wet basis).

    30 2.42

    1.05 13.50

    .07 20.50

    100.00 19.24

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    Energy +or /rying Lu)'er

    Natural Gas Easy to use

    Clean burning

    Lower capital cost

    Higher fuel cost

    >80% efficiency

    Wood Must handle

    More emissions

    Higher initial cost

    Lower fuel cost

    60-70% efficiency Availability

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    Approximately, for every 1% increase in moisture content, starting at bonedry, there is a 1% decrease in heating value.

    Example: if a piece of firewood has a heating value of 8,500 Btus perpound at 0% moisture content (bone dry) then it will have an approximateheating value of only 1,700 Btus per pound at 80% moisture content.

    ----------------------------------------------------------------------------------------------------Species effect high density woods have higher heating value than lowdensity woods.

    Dry wood cell wall material weighs ~95 lbs/cu ft

    Dry wood weighs ~12 - 85 lbs/cu ft

    Negative Effect of Moisture on Heating Value of Wood

    Lignum vitae (Guaiacum sanctum) sp gravity 1.37 = 85 lbs/cu ftBalsawood (Ochroma pyramidale) sp gravity 0.19 = 12 lbs/cu ft

    Extremes:

    ~~

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    Energy .ro) urning $oo(

    WoodMoisture

    Content (%) HHV

    1

    (Btus/lb)

    0 8750

    20 700050 4375

    80 17501High heating value approximate values, for exampleat oven-dry, HHV ranges from about 7600-9600 Btus/lb

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    Energy Use for Drying Lumber

    MC (%) Energy Use

    Initial FinalBtus/lb of Water1

    Evaporated MMBtus/MBF

    Doug-fir 45 15 2,000-3,000 1.2-1.8

    S. pine 100 12 1,600-2,200 3.0-4.0

    Red oak 80 6 3,000+ 6.4+

    1Note: 1,000 Btus is theoretical value of energy to evaporate 1 lb HOH.

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    $oo(2Relate( Energy Use

    eat $oo(

    eat $ater in $oo(

    eat o+ $etting 3energy to 'rea4 c*e)ical 'oun(s E-a6orate $ater +ro) $oo( &ur+ace

    ay'e 50% or a 'it )ore is use( to actually (ry t*e,oo(7 $*at is t*e rest o+ t*e energy (oing

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    $*ere t*e

    "t*er Energy

    Goes

    Kiln

    Re-heating Make Up Air

    Loss Through

    Walls

    Flash Tank

    LossHeating Kiln Parts

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    Use A'out 50% .or E++iciency ecause 50% $as

    Use( +or /rying an( 50% +or "t*er

    Energy 9 $ater E-a6orate( 3l':s ;

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    ini)iBe Energy Use

    Air (ry 'e+ore 4iln (ry

    #ee6 rain an( sno,o++ t*e lu)'er

    Re(uce +an s6ee( /ry to *ig*er C

    ig*er te)6erature Vent less

    A-oi( stea) s6ray

    Maintain traps

    Fix steam leaks

    Insulate pipes

    Minimize timebetween charges

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    &te6s to A66roi)ate Cost o+ /rying Lu)'er

    Calculate t*e a)ount o+ ,ater e-a6orate(

    Use esti)ate o+

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    Energy Drying Costs - Example

    100,000 bf of western red cedar Avg SGgrn = 0.31

    MC1 = 80% MC2 = 15% m1 = 0.80 lbs HOH/lb BDairm2 = 0.15 lbs HOH/lb BDair

    Estimate: 1 ft3 = 14 bf

    Drying Cost = lb HOH evaporated X 2,000 Btu/lb HOH evaporated X Energy Cost $/MM Btu

    Weight of HOH evaporated (lbs) = SG X 62.4 lbs X 1 ft3 X (0.80 0.15) X 100,000 bf =ft3 14 bf

    = 89,811 lbs of HOH evaporated

    Btu needed = 89,811 lbs HOH X 2,000 Btu/lb HOH X Energy Cost $ = 179.62 MM Btus1,000,000,000 Btu

    Continued on Next Slide

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    Drying costs = 89,811 lbs HOH X 2,000 BTU X Energy Cost $ =lb HOH MM BTU

    = 179.62 MM BTU X $/MM BTU

    Energy Drying Costs (continued)

    If dry 100,000,000 bf per year, what would the annual cost be?

    Cost to dry 100 mmbf$/MM BTU MM Btu Annual Cost

    Wood 4.03 X 179.62 = ~$ 724 $ 724,000

    Natural gas 13.50 X 179.62 = ~$2,425 $2,425,000Oil 19.24 X 179.62 = ~$3,456 $3,455,000Electricity 20.50 X 179.62 = ~$3,682 $3,682,000

    Other considerations:Initial cost of wood boiler is greaterWood has to be handled and stored on site operating costs are greaterWood is usually available so might actually be free or low cost (have to ignore opportunity costs if you thinkits free!)

    Depreciation, upkeep, etc. are costs not accounted for in this example upkeep is greater for a wood-firedboiler.

    Dry a 100 mbf of western red cedar from 80% to 15% MC

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    &UARYFRE/UCING TE C"&T ". /RYING LUER

    Nee( to realiBe i)6ortance o+ 4no,ing t*etrue (rying cost +or lu)'er

    Nee( to ea)ine )eans o+ re(ucing (ryingcosts

    Nee( to re(uce energy consu)6tion

    electricity natural gas oil an( *ogge( +uel

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    /RYING C"&T ."R &".T$""/ LUER

    &ur-ey o+ Lu)'er /rying !artici6ants311 6artici6ants (i(n:t 4no, t*eir (rying cost

    0

    2

    4

    6

    8

    10

    0 10 20 30 40 50 60 70 80

    Drying Cost, $/MBF

    Dr. Jim Wilson, Oregon State University, CORRIM

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    /RYING C"&T& INCLU/E

    Energy Use Ca6ital

    aintenance an(

    Re6air Insurance

    La'or

    !er)its En-iron)ental

    "-er*ea(

    Lu)'er /egra(e

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    .ACT"R& A..ECTING TE C"&T ". /RYING

    Kiln

    Lumber

    Kiln Schedule

    Operator

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    /ETERINING /RYING C"&TEa)6leF /rying cost o+

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    /RYING C"&T ".

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    /RYING C"&T ".

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    0

    2

    4

    6

    8

    10

    0 10 20 30 40 50 60 70 80

    Drying Cost, $/MBF

    /RYING C"&T ."R &".T$""/ LUER&ur-ey o+ Lu)'er /rying !artici6ants

    311 6artici6ants (i(n:t 4no, t*eir (rying cost

    Calculated dryingcost of $30.53

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    N"TE& "N /RYING CALCULATI"N&

    T*e stea) cost ,as (eter)ine( 'ase( on a cost o+ 1J 6er 10006oun(s ,*ic* re+lects t*e true cost +or o6erating a ne, 'oilerD I+ +ully

    (e6reciate( ol(er 'oiler is use( to su66ly stea) an( t*e cost ,oul(

    'e 5 to 10 6er 1000 6oun(s o+ stea)D

    Calculate( 'y assu)ing 6roKect +inance( ,it* 'orro,e( +un(s at t*erate o+ 8D5%D

    Cost ignores (egra(e -alue an( ta s*iel( ,*ic* ,oul( 'e eHual tot*e 6ro(uct o+ ta rate 3@5% an( t*e su) o+ t*e annual (e6reciation

    an( interest c*argesD

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    TE A"UNT ". /EGRA/E $ILL A..ECT TE/RYING C"&T

    30

    35

    40

    45

    50

    0 2 4 6

    Degrade (% of throughput)

    D

    ryingCost($

    perMBF)

    Based on a 2x4 hem-fir price of $326/MBF

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    &UARYFRE/UCING TE C"&T ". /RYING LUER

    Nee( to realiBe i)6ortance o+ 4no,ing t*etrue (rying cost +or lu)'er

    Nee( to ea)ine )eans o+ re(ucing (ryingcosts

    Nee( to re(uce energy consu)6tion

    electricity natural gas oil an( *ogge( +uel

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    Fuel Cost Calculator &Estimator of Lumber

    Drying Costs

    http://extension.oregonstate.edu/lincoln/forestry/wood-industry

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    References:

    Dry Kiln Operators Manualhttp://www.treesearch.fs.fed.us/pubs/7164

    U.S. Energy Information Administrationhttp://www.eia.doe.gov/

    Wood Handbook: Wood As An Engineering Materialhttp://www.treesearch.fs.fed.us/pubs/5734