Module 3 Evaporation

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    Lecture Notes Hydrology

    Department of Civil EngineeringSchool of Engineering, University of Nairobi

    Dulo S.O

    E-mail: [email protected]

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    Department of Civil EngineeringSchool of Engineering, University of Nairobi

    Evaporation is a type of vaporization ofa liquid that occurs only on the surface ofa liquid.

    http://en.wikipedia.org/wiki/Vaporizationhttp://en.wikipedia.org/wiki/Liquidhttp://en.wikipedia.org/wiki/Interface_(chemistry)http://en.wikipedia.org/wiki/Interface_(chemistry)http://en.wikipedia.org/wiki/Liquidhttp://en.wikipedia.org/wiki/Vaporization
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    Evaporation

    Energy Balance MethodConsider the evaporationfrom an evaporation pan

    An evaporation pan is acircular tank containingwater.

    The rate of evaporation ismeasured by the rate of fall of

    water surface.

    A control surface is drawnaround the pan enclosingboth the water in the pan and

    the air above it.

    Evaporation Pan

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    Evaporation Measurement

    Class A PanEvaporation Pan Method, E = Kp.EpE = Evaporation Rate (mm/day)Kp = Pan CoefficientEp = Measured Evaporation (mm/day)

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    Evaporation

    Aerodynamic Method

    Evaporation from an open water surface

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    EvaporationSummary of Equations

    Energy Balance Method

    Aerodynamic Method

    When)daymm(R.E nr 03530

    )mW(RadiationNetRn 2

    )daymm()ee(BE aasa

    )Pa.daymm(

    )]z

    z

    [ln(

    u.B2

    0

    2

    21020

    Where

    )Pa()T.

    T.exp(e as 3237

    2717

    611

    )Pa(eRe asha

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    Evaporation

    Combined Method

    Priestley-Taylor Method

    Summary of Equations

    )daymm

    (EEE ar

    )C

    Pa()T.(

    eo

    as23237

    4098

    )

    C

    Pa(. o866

    r E)(

    31 .

    Evaporation PanMethod

    pp EKE

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    Evapotranspiration

    The term Evapotranspiration combines two words1) Evaporation of water from the soil2) Transpiration of water from plants into the air

    Evapotranspiration means the total loss of water from acrop into the air

    Water evaporates from any moistsurface into the air unless the air issaturated Water surfaces incontact with air, such as lakes,plant leaves, and moist soils, all

    evaporate water

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    Evapotranspiration

    Evaporation from land surface comprised1) evaporation directly from soil

    and vegetation surface2) transpiration through leaves

    The processes of evaporation from land surfaceand transpiration from vegetation are collectivelytermed Evapotranspiration .

    Evapotranspiration is influenced by

    1) the supply of energy to provide the latent heat ofvaporization Energy Supply2) the ability to transport the vapor away from the

    evaporative surface Vapor Transport3) the supply of moisture at the evaporative surface

    Moisture

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    Evapotranspiration

    Crop water is important because it determines how muchwater must be provided by irrigation or rain

    -If there is too little water, the crop yield can diminish-If there is too much irrigation, then it will waste

    energy,water, and nutrients and unnecessarily deplete theaquifer

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    Reference Crop ET

    Calculations of the rate of evaporatranspiration

    For given climatic conditions, the basic rate is the reference cropevapotranspiration , this being the rate of evapotranspirationfrom an extensive surface of 8-15 cm tall green grass cover of

    uniform height, actively growing, completely shading the groundand not short of water

    Reference Crop Evapotranspiration Equations:1) Penman Equation

    2) Penman-Monteith Equation3) FAO-Penman Monteith Equation4) Doorenbos-Pruitt Equation5) Bladney-Criddle Equation6) others

    oET

    Climatic conditions are given

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    Actual ET and Reference crop ET o

    The potential evapotranspiration of another crop growing underthe same conditions as the reference crop is calculated bymultiplying the reference crop evapotranspiration, ETo by a cropcoefficient, kc .

    The value of kc changes with the stage of growth of the crop.

    The actual evopotranspiration, Et is found by multiplying thepotential evapotranspiration by a soil coefficient, ks (0 ks 1 )

    Potential ET

    Actual ET

    The values of the crop coefficient, kc vary over a range of about0.2 kc 1.3

    ocsc ETk k ETocp ETk ET

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    Actual ET

    ETo

    ETp

    ETc

    Reference CropEvapotranspiration

    PotentialEvapotranspiration

    ActualEvapotranspiration

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    ETo Measurement

    Kc=ETc/ETo

    Crop ET

    Reference ET

    Crop ET vs Reference ET

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    ETo Measurement

    Lysimeter

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    Developing Crop Coefficient

    Evapotranspiration (ET) is an energydriven process.ET increases with temperature, solarradiation and wind.

    ET decreases with increasing humidity.

    Humidity

    Temperature

    Measure climatic conditions and calculate ETo.

    Developing crop coefficients todetermine actual crop ET

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    Measure ETc for the crop stage of growth.

    Developing crop coefficients todetermine actual crop ET

    Crop of Interest

    WeightingLysimeter

    Early

    Developing Crop Coefficient

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    Measure ETc for the crop stage ofgrowth.

    WeightingLysimeter

    PhysiologicallyMature

    Developing Crop Coefficient

    Developing crop coefficients todetermine actual crop ET

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    Example

    The monthly values of reference crop evapotranspirationEtr, calculated using the combination method foraverage condition in Silistra, Bulgaria.

    Month Apr May Jun Jul Aug Sep Oct Apr-Oct total

    ETo (mm/day) 4.14 5.45 5.82 6.60 5.94 4.05 2.34 34.3 mm

    Kc 0.38 0.38 0.69 1.00 1.00 0.78 0.55

    ET (mm/day) 1.57 2.07 4.02 6.60 5.94 3.16 1.29 24.7 mm

    Crop coefficient for corn, k1=0.38, k2=1.00, k3=0.55, t1=Apr, t2=Jun,t3=Jul,t4=Sep, t5=OctCalculate the actual evapotranspiration from this crop assuming awell-watered soil.

    t1 t2 t3 t4 t5

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    Example

    The Crop water use for maize in selected studydistricts of Kenya.

    District ETo(mm)

    ETmax(mm)

    Kiambu 492.4 329.9Makueni 565.0 378.6

    Vihiga 495.0 331.7

    Kwale 662.8 444.0

    Migori 588.3 394.1

    Laikipia 476.2 319.0

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    Example

    1-Initial stage (less than 10% ground cover).2-Development state (from initial stage to attainment

    of effective full ground cover (70-80%)).3-Mid-season stage (from full ground cover to

    maturation).

    4-Late season state (full maturity and harvest).

    1

    2

    3

    4