Lecture - 3 Solar

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    Pradip Majumdar, Ph.D

    Professor

    Mechanical Engineering

    Northern Illinois University

    UEET 603

    Introduction to Energy Engineering

    Spring 2010

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    1/9/2014

    Solar Energy

    Pradip Majumdar

    Department of Mechanical

    Engineering

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    1/9/2014

    Solar RadiationSolar Components

    Applications

    Flat Plate

    Collector

    Photovoltaic

    Cell

    Solar Thermal

    Power

    Generation

    Extraterrestrial

    Solar Radiation

    Solar Radiation

    at Earth SurfaceOptical

    Properties for

    Materials for

    Solar Radiation

    Direct, Diffuse,

    Reflected

    Radiation

    Focusing

    Collector

    Solar

    Heating and

    Cooling

    Direct Electric

    Power

    Generation

    Geographical

    Location andWeather

    Conditions

    ELEMENTS OF SOLAR

    ENERGY MODULE

    Energy

    Storage

    Solar

    Energy

    Principles

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    1/9/2014

    Topics

    Solar energy and Application

    Major Characteristics of Sun and Earth

    Solar RadiationSolar and wall angles

    Estimation solar irradiation of a surface

    Optical properties of surfaceSolar collectors

    Solar thermal systems

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    Solar Energy and Applications

    Solar radiation is potential energy source

    for power generation through use of solar

    collector and photovoltaic cells.

    Solar energy can be used as thermal

    energy source for so lar heat ing,

    Aircondi t ion ingand coo l ing sys tems.

    Solar radiation has important effects on

    both the heat gain and heat loss of a

    building.

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    Solar Radiation

    Intensity of solar radiation incident on a surface isimportant in the design of solar collectors, photovoltaic

    cells, solar heating and cooling systems, and thermal

    management of building.

    This effect depends on both the location of the sun in the

    sky and the clearness of the atmosphere as well as on

    the nature and orientation of the building.

    We need to know

    - Characteristics of suns energy outside the earths

    atmosphere, its intensity and its spectral distribution

    - Variation with suns location in the sky during the day

    and with seasons for various locations on the earth's

    surface.

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    Solar Radiation

    The suns structure and characteristicsdetermine the nature of the energy it radiatesinto space.

    Energy is released due to continuous fusionreaction with interior at a temperature of theorder of million degrees.

    Radiation is based on suns outer surfacetemperature of 5777 K.

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    Solar Geometry

    I

    II

    III

    Photosphere

    Chromosphere

    Corona

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    Solar Geometry

    The Sun: Major Characteristics- A sphere of hot gaseous matter

    - Diameter, D = (865400 miles) (Sharp circular boundary)

    - Rotates about its axes (not as a rigid body)

    - Takes 27 earth days at its equator and 30 days at polar

    regions.

    - The sun has an effective black body temperature of 5777 K

    i.e. It is the temperature of a blackbody radiating the sameamount of energy as does the sun.

    Mean earth-sun distance: D = (865400 miles) (Sharp

    circular boundary)

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    The Structure of SunCentral Region: (RegionI)

    Energy is generated due to fusion

    Reaction of gasestransforms

    hydrogen into helium.

    - 90% of energy is generated within

    the core range of 00.23 R- The temperature in the central

    region is in million degrees.

    - The temperature drops to 130,000 K

    with in a range of 0.7R

    Convection Region ( RegionIII)

    - 0.7R to R where convection process

    involves

    - The temperature drops to 5,000 K

    Photosphere:

    Upper layer of the convective zone- Composed of strongly ionized gas

    - Essentially opaque

    - Able to absorb and emit continuous

    spectrum of radiation

    - Source of the most solar radiation

    Chromosphere (10,000km)Further outer gaseous layer with

    temperature somewhat higher tan the

    Photosphere.

    CoronaStill further outer layer

    - extremity of sun.

    - Consists of Rarified gases.- Temperature as high as 1000,000 K

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    Thermal Radiation

    Thermal radiation is the intermediate portion (0.1~ 100m) of the electromagnetic radiation

    emitted by a substance as a result of its

    temperature.

    Thermal radiation heat transfer involvestransmission and exchange of electromagnetic

    waves or photon particles as a result oftemperature difference.

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    Plancks Spectral Distribution of

    Black Body Emissive Power

    The thermal radiation emitted by a black

    substance covers a range of wavelength

    (), referred as spectral distribution and

    given as

    1e

    C

    E T/2C51

    b, 2482

    01 m/m.W103.7422hC K.m101.439k/hcC

    402

    s.J10626.6ttanconss'Planckh

    24

    K/J10381.1ttanconsBoltzmannk23

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    Solar Intensity Distribution

    Spectral distribution show the variation of

    solar radiation over the a bandwidth

    m3.0to0.25

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    Black Body Emissive Power

    The total black body emissive power is

    obtained by integrating the spectral emissive

    power over the entire range of wavelengths

    and derived as

    4TE

    b

    Where = Stefan-Boltzman constant

    =428

    ./106697.5 KmW

    d1e

    CEE

    0T/2C5

    1b,b

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    Real Body Emissive Power

    bEE factorEmissivityEEb

    bEE Spectral Emissive Power

    emissivitycalhemispheriSpectralE

    E

    b

    Total Emissive Power

    4

    TE

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    Extraterrestrial Radiation

    Solar radiation that would be received in the

    absence of earth atmosphere.

    Extraterrestrial solar radiation exhibit a spectral distributionover a

    ranger of wavelength: 0.1- 2.5

    - Includes ultraviolet, visible and infrared

    m

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    Solar Constant

    Solar Constant = Solar radiation intensity upon asurface normal to sun ray and at outeratmosphere (when the earth is at its meandistance from the sun).

    hr

    mWGSC2

    2

    Btu/ft433

    /1367

    scG

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    Variation of Extraterrestrial Radiation

    Solar radiation varies with the day of the year as

    the sun-earth distance varies.

    An empirical fit of the measured radiation

    data

    365

    360ncos033.01scGDG

    2Bsin0.0000772Bs0.000719co

    Bsin0.001280Bcos0.0342211.000110

    scGDG

    n = day of the year

    365

    3601nB

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    The Earth

    Diameter: 7900 miles

    Rotates about its axis-one in 24

    hours

    Revolve around sun in a period of

    365+1/4 days.Density=5.52 times that of H2O.

    I: Central Core:1600 miles diameter,more rigid than steel.

    II: Mantel: Form 70% of earth mass.

    III: Outer Crust: Forms 1% of total

    mass.

    I

    II

    III

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    Direct Radiation on Earths Surface

    dG

    DifuseDirect

    Reflected

    DG

    rG

    DNG

    Normal to surface

    DNG

    cosDND GG rdDt GGGG

    Total radiation on a surface

    Orientation of a surface on earth with respect sun or

    normal to suns ray can be determined in terms basic

    Earth-Sun angles.

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    Basic Earth-Sun Angles

    Suns Ray TimeThe earth is divided into 360oofcircular arc by longitudinal lines

    passing through poles.

    The zero longitudinal line passesthrough Greenwich, England.

    Since the earth takes 24 hours to

    complete rotation, 1 hour = 15oof

    longitude

    What it means?

    A point on earth surface exactly

    15owest of another point will

    see the sun in exactly the same

    position after one hour.

    The position of a point P on earth'ssurface with respect to sun's ray Is

    known at any instant if following

    angles are known:

    Latitude (l), Hour angle (h)

    and Suns declination angle (d).

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    Local Civil Time (LCT)Universal Time or Greenwich Civil Time (GCT)

    Greenwich Civil Time: GCT time or universal time

    Time along zero longitude line passing through Greenwich,

    England. Time starts from midnight at the Greenwich

    Local Civil Time (LCT)

    Determined by longitude of the observer. Difference being 4

    minutes of time for each degree or 1-hr for 15

    Example: What is the LCT at 75 degree west longitude

    corresponding to 12:00 noon at GCT

    75 degree corresponds to 75 / 15 = 5 hours

    LCT at 75 degree west longitude = 12:00 PM5 hrs= 7

    AM

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    Standard TimeLocal civil time for a selected meridan near the center of

    the zone. Clocks are usually set for the same time

    throughout a time zone, covering approximately 15 of

    longitude.

    ExampleFor U.S.A different standard time is set over different time

    zone based on the meridian of the zone. Following is a list

    of meridian line.

    EST: 75 CST: 90MST: 105 PST: 120

    Also, there is Day Light Savings Time

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    Solar Time

    Time measured by apparent daily motion of the sun

    Local Solar Time, LST = LCT + Equation of time (E)

    Equation-of- t imetakes into account of non-symmetry of

    the earthly orbit, irregularity of earthly rotational speed and

    other factors.

    Bsin0.032077-Bcos001868.0000075.0(2.220 E

    2B)sin0.04089-2Bcos0014615.0

    365

    3601nB

    2B)sin0.04089-2Bcos0014615.0

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    Equation of Time and Suns

    Declination Angle

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    Example: Local Standard Time

    Determine local solar time (LST) corresponding to 11:00 a.m. CDST on

    February 8 in USA at 95 west longitude.

    CST (Central Standard Time) = CDST - 1 hour = 11:00-1 = 10:00 a.m.

    This time is for 90 west longitudinal line, the meridian of the central

    time zone.

    Local Civil Time (LCT) at 95 west longitude is 5 X 4 = 20 minutes

    less advanced

    LCT = CST - 20 minutes = 10:00 am20 min= 9:40 am

    LST = LCT + Equation of Time (E)

    From Table: For February 8 the Equation of time = -14:14

    LST = 9:40-14:14 = 9:26 a.m.

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    Solar and Wall Angles

    Following solar and wall angles are neededfor solar radiation calculation:

    Latitude angle, l

    Sun's Zenith angle ,

    Altitude angle, Azimuth angle, or Suns incidence angle

    Wall-solar azimuth angle,/

    Wall azimuth angle,

    Latitude (l) is defined as the angulardistance of the point P north (or south) ofthe equator.

    l = angle between line opand projection o

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    Declination (d)

    Angle between a line extending from

    the center of the sun to the center ofthe earth and the projection of this

    line upon the earth equatorial plane.

    It is the angular distance of the sun's

    rays north (or south) of the equator.

    Figure shows the sun's angle of

    declination.

    d = - 23.5o C at winter solstice, i.e.

    sun's rays would be 23.5osouth of

    the earth's equator

    d = +23.5o at summer solstice, i.e.

    sun's rays would be 23.5onorth of

    the earth's equator.

    d = 0 at the equinoxes

    d = 23.45 sin [360(284+n)/365]

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    Hour Angle: 'h'

    Hour Angle is defined as the angle measured inthe earth's equatorial plane between the projection

    of opand the projection of a line from center of the

    sun to the center of earth.

    - At the solar room, the hour angle (h) is zero,

    Morning: negative and Afternoon: positive

    The hour angle expresses the time of the day

    with respect to solar noon.

    One hour time is represented by 360/24 or 15

    degrees of hour angle

    -

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    SOLAR ANGLES

    = Zenith Angle = Angle

    between sun's ray and a lineperpendicular to the horizontal

    plane at P.

    = Altitude Angle = Angle in

    vertical plane between the sun'srays and projection of the sun's

    ray on a horizontal plane.

    It follows + =/2

    = Azimuth angle = Angle measured from north

    to the horizontal projection of the sun's ray.

    = Azimuth Angle = angle measured from

    southto the horizontal projection of the Suns ray.

    180

    Sun

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    Solar Angles

    From analyt ical geometry

    Suns zenith angle

    cos () = cos (l) cos(h)cos(d)+ sin (l) sin (d)

    Also = /2 -

    Suns altitude angle:sin () = cos (l) cos (h) cos (d )

    + sin (l) sin (d)

    Sun's azimuth( ) is given by

    cos( ) = sec (){cos (l) sin (d)

    -cos (d) sin (l) cos (h)}

    Or

    Cos = (sin sin lsin d )/(cos cos l)

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    Tilted Surface=

    = wall-solar azimuth angle= For a vertical surface the

    angel measured in horizontal

    plane between the projection of

    the sun's ray on that plane and a

    normal to that vertical surface

    = angle of tilt= normal to surface and

    normal to horizontal surface

    = Wall azimuth angle

    = Angle between normal to

    vertical surface and south

    '

    /

    Where

    = Solar Azimuth Angle

    '

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    Angle of Incidence ()

    Ang le of inc idenceis the angle between

    the sun's rays and normal to the surface

    cos= coscos sin+ sincos

    For vert ical su rface

    cos= cos cos , = 90For ho r izon tal surface

    cos = sin, = 0

    '

    '

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    Solar Radiation Intensity at Earth Surface

    Solar radiation incident on a surface at earth has three different

    components:

    1. Direct radiation:

    The solar radiation received from the sun without having

    been scattered by the atmosphere.

    2. Diffuse radiation:

    Radiation received and remitted in all directions by earth

    atmosphere:

    3. Reflected radiation:

    Radiation reflected by surrounding surfaces.

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    Total Incident Radiation

    dG

    DifuseDirect

    Reflected

    DNG

    rG

    Normal to surface

    DI

    rdNDt GGcosGG

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    ASHRAE Clear Sky Model

    Normal Direct Radiat ion: GND

    The value of solar irradiation at the surface of the earth on

    a clear day is given by the empirical formula:

    GND= A/[exp(B/sin )] = Normal direct radiationA = apparent solar irradiation at air mass equal to

    zero, w/m2

    B = Atmosphere extinction co-efficient

    = Solar altitudeAbove equation do not give maximum value of GNDthat can

    occur in any given month, but arerepresentation of

    condition on average cloudiness days.

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    Constants A, B and C for Estimation of Normal

    direct and diffuse radiation

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    Modif ied equat ion:

    GND= A/[exp(B/sin )] x CN

    CN = Clearness factor

    =multiplying factor for nonindustrial location in USA

    GD= GNDcos

    = Direct radiation on the surface of

    arbitrary Orientation.

    = Angle of incident of sun's ray to the surface

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    Clearness factor (CN)

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    Diffuse Radiat ion :Gd

    Diffuse radiation on a ho r izon tal surfaceis

    Gd = C GNDWhere

    C = ratio of diffuse to normal radiation on a

    horizontal surface = Assumed to be constant for an

    average clear day for a particular month.

    Diffuse Radiat ion onNon Horizontal Surface:

    Gd= C GND FWS

    FWS = Configurat ion factor

    between the wall and the sky .

    FWS = (1+ cos )/2

    Where = Tilt angle of

    the wall from horizontal

    = (90-).

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    Reflec ted Rad iat ion (GR)

    Reflection of solar radiation from ground to a tilted surfaceor vertical wall.

    GR = GtH g FWg

    Where,

    GtH = Ratio of total radiation (direct + diffuse) onhorizontal or ground in front of the wall.

    g = Reflectance of ground or horizontal surface

    FWg = Angles or Configuration factor from wall to

    groundFWg = (1- cos )/2.

    = Wall at a tilt angle tothe horizontal.

    E l E i i f S l R di i

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    Example: Estimation of Solar Radiation

    Calculate the clear day direct, diffuse and total solar radiation

    on horizontal surface at 36 degrees north latitude and 84degrees west longitude on June 1 at 12:00 noon CST

    Local Solar Time: LST = LCT + Equ of time

    LCT = LCT + (90-84)/15 * 60 = 12:00 + (90-84)/15 * 60

    At Mid 90 degree

    LST = 12:00 + (90-84)/15 *60+ 0:02:25 = 12:26

    Hour angle: h = (12:00 - 12:26) * 15/60 = 65 degrees

    Declination angle: d = 21 degrees 57 minutes

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    Suns altitude angle:

    Sin= Cos (l) Cos (d) Cos (h) + Sin (l) Sin (d)

    = Cos (36) X Cos (2157 min) + Sin (36) Sin (2157)=(0.994)

    (0.928) (0.809)+ 0.588 XS 0.376, Sin = 0.965

    Incidence angle for a horizontal surface: Cos = Sin = 0.965

    Direct Normal Radiation: GND = A/ [exp (B/sin )]

    = 345/ [exp (0.205/0.965)]GND= 279 Btu/hr-ft

    2

    The direct radiat ion

    GD=GNDCos = 279 X 0.965 = 269 Btu/hr-ft2,The dif fuse radiat ion

    Gd= C GND= 0.136 X 279 = 37.4Btu/hr-ft2

    Total IrradiationG = GD+ G

    d= 269 + 37.6 = 300 Btu/hr-ft2

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    Material Optical Properties

    G

    GflectivityRe re

    GGvityTransmissi tr

    G

    G

    tyAbsorptivi tr

    bodyblackabyemittedEnergybodyrealabyEmittedEnergy

    EEEmissivityb

    The Khirchoffs law

    In equilibrium: In general , ,

    , ,

    Wavelength incidentofAngle

    S l R di i M i l

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    Solar RadiationMaterial

    Interaction

    Opaque Surface:

    Transparent Surface:

    0 1

    1GG,absorbedEnergy ab

    GG,absorbedEnergy ab GG,dtransmitteEnergy tr

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    Solar Heart Gain

    Solar Heat gain through atransparent Glass Cover:

    fwN

    tftsg GNGAq

    Solar Heat gain Through aGlass Window:

    ScGNGAq tftsg

    Where

    A = Surface area of glass

    = Total solar irradiation

    = Fraction of absorbed solarradiation that enters Inward

    =

    Sc = Shading coefficient

    tG

    fN

    oh

    U

    tfwwsg GNAq ,

    Solar Heat gain opaque

    wall: = Fraction of absorbed solarradiation that enters Inward

    = oh

    U

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    Use of Solar Energy

    1. Solar Thermal Energy:

    Converts solar radiation in thermal heat energy

    - Active Solar Heating

    - Passive Solar Heating

    - Solar Thermal Engine

    2. Solar PhotovoltaicsConverts solar radiation directly into electricity

    S l Th l E S t

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    Solar Thermal Energy System

    The basic purpose of a solar thermalenergy system is to collect solar radiation

    and convert into useful thermal energy.

    The system performance depends on

    several factors, including availability of

    solar energy, the ambient air temperature,

    the characteristic of the energy

    requirement, and especially the thermal

    characteristics of solar system itself.

    Cl ifi ti S l S t

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    Classification Solar System

    The solar collection system for heating and

    cooling are classified as passive or active.

    Active System

    Active systems consist of components whichare to a large extent independent of the building

    design

    Often require an auxiliary energy source (Pump

    or Fan) for transporting the solar energy

    collected to its point of use.

    Active system are more easily applied to existing

    buildings

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    Passive System

    Passive systems collect and distribute solarenergy without the use of an auxiliary energy

    source.

    Dependent on building design and the thermalcharacteristics of the material used.

    Solar Water Heating System

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    Solar Water Heating System

    Uses solar collector

    mounted on roof top togather solar radiation

    Low temperaturerange: 100 C

    Applications involves

    domestic hot water or

    swimming pool heating

    Hot Water

    Pump

    Collector

    Cold Water

    Supply

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    Solar Space Heating System

    Solar Collector

    Space

    Auxiliary Heater

    Pump

    Thermal

    Storage

    A collector intercepts the suns energy.

    A part of this energy is lost as it is absorbed by the cover glass orreflected back to the sky.

    Of the remainder absorbed by the collector, a smal l por t ion is lost b y

    convect io n and re-radiat ion, but most is useful thermal energy, which

    is then transferred via pipes or ducts to a storage mass or directly to the

    load as required

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    An energy storage is usually necessary since

    the need for energy may not coincide with the

    time when the solar energy is available.

    Thermal energy is distributed either directly after

    collection or from storage to the point of use.

    The sequence of operation is managed by

    automatic and/or manual system controls.

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    Solar Cooling System

    C200 0

    Air inletEvaporator

    TurbineCompressor

    Solar

    Collector

    Condenser

    10 kpa

    Condenser

    Cooling Capacity

    Qe = 5 kW

    HR

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    A Solar-driven Irrigation Pump

    Turbine

    SolarCollector

    CondenserPump

    IrrigationPump

    ph

    pm

    A solar-energy driven irrigation pump operating on a

    solar driven heat engine is to be analyzed and designed.

    C150T0

    H

    kPa10Pc

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    Solar Collector

    Several types are available

    Flat Plate Collector- Glazed and unglazed

    - Liquid-based- Air-based Evacuated Tube Concentrating

    - Parabolic trough

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    Fixed Vs Tracking

    A tracking collectors are controlled to follow the sunthroughout the day.

    A tacking system is rather complicated and general ly

    only used for special h igh-temperature

    appl icat ions.

    Fixed col lectors are much simpler - their position

    or orientation, however, may be adjusted on a

    seasonal basis. They remain fixed over a days time

    Fixed co l lecto r are less eff ic ient than tracking

    col lectors; nevertheless they are generally preferred

    as they are less costly to buy and maintain.

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    Flat-plate and Concentrating

    Concentrating collectors uses mirrored surfaces

    or lenses to focus the collected solar energy on

    smaller areas to obtain higher working

    temperatures.Flat-plate collectors may be used for water

    heating and most space-heating applications.

    High-performance flat-plate or concentrating

    collectors are generally required for coolingapplications since higher temperatures are

    needed to drive chiller or absorption-type cooling

    units.

    Flat Plate Solar Collector

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    Flat Plate Solar Collector

    Used for moderate

    temperature up to 100 C

    Uses both direct anddiffuse radiation

    Normally do not needtracking of sun

    Use: water heating,building heating and air-conditioning, industrialprocess heating.

    Advantage: Mechanicallysimple

    Outer GlassCover

    Insulation Fluid FlowTubes

    AbsorberPlate

    Inner GlassCover

    Flat Plate Collector

    Incident Solar Radiation ( tG )

    Consists of an absorber

    plate, cover g lass,

    insulat ionand hous ing.

    Characteristics of Flat Plate

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    Characteristics of Flat Plate

    Collector

    Used for moderate temperature up to 100 C

    Uses both direct and diffuse radiation

    Normally do not need tracking of sun

    Use: water heating, building heating and air-conditioning, industrial process heating.

    Advantage: Mechanically simple

    Flat Plate Solar Collector

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    Flat Plate Solar Collector The absorb er plateis usually made

    of copper and coated to increase theabsorption of solar radiation.

    The cover glass o r glassesareused to reduce convection and re-

    radiation losses from the absorber.

    Insulationis used on the back edges

    of the absorber plate to reduceconduction heat losses.

    Thehousing holds the absorber withinsulation on the back and edges,

    and cover plates.

    The working fluid (water, ethyleneglycol, air etc.) is circulated in aserpentine fashion through the

    absorber plate o carry the solar

    energy to its point of use.

    Outer GlassCover

    Insulation Fluid FlowTubes

    AbsorberPlate

    Inner GlassCover

    Flat Plate Collector

    Incident Solar Radiation ( tG )

    Consists of an absorber

    plate, cover g lass,

    insulat ionand hous ing.

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    Collector Performance

    x

    y

    x

    T

    )T(x

    Temperature Distribution

    in the Absorber Plate

    The temperature of the working fluid in aflat-plate collector may range from 30 to90C, depending on the type of collector

    and the application.

    The amount of solar irrradiation reachingthe top of the outside glazing will dependon the location, orientation, and the tilt of

    the collector.

    Temperature of the absorber plate varies

    along the plate with peak at the midsection

    Absorbed heat diffuses along the lengthtowards the tube with and transferred to

    the circulating fluid.

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    Collector PerformanceThe collector efficiency of flat-plate

    collectors varies with design orientation,time of day, and the temperature of the

    working fluid.

    The amount of useful energy collected

    will also depend on- the optical properties (transmissivity

    and reflectivity) of cover glasses,

    - the properties of the absorber plate

    (absorptivity and emissivity) and

    - losses by conduction, convection and

    radiation.

    Outer GlassCover

    Insulation Fluid FlowTubes

    AbsorberPlate

    Inner GlassCover

    Flat Plate Collector

    Incident Solar Radiation ( tG )

    Collector PerformancefiT

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    Collector Performance

    An energy balance for the absorber plate is

    cond

    a

    conv

    ca

    rad

    caaccsolca

    R

    TT

    R

    TT

    R

    TTIAq 2

    4

    2

    4

    21

    A simplification leads to

    TTUIAq f iaccsolca 21

    Where

    = temperature of the fluid at inlet to

    collector

    U = over all heat transfer coefficient

    empirically determined heat collection factor

    fiT

    fiT

    Collector PerformanceplateCollectorAc

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    Collector Performance

    Useful energy output of a collector

    apctpcu TTUGAQ Where= Total absorbed incident

    radiation at the absorber plate

    Overall heat transfer

    coefficient (Represents total heat

    loss from the collector.

    Temperature of the absorber

    plate

    Temperature of ambient air

    tpG

    cU

    pT

    aT

    One of the major problem inusing this equation is the

    estimation and determination of

    the collector plate temperature

    .

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    A more useful form is given in terms of fluid inlet

    temperature, and a parameter called collector heat

    removal factor ( ), which can be evaluated analytically

    from basic principles or measured experimentallyRF

    The heat removal factor in defined as

    TaTUGA QF pctpc uR Where the heat removed bythe circulating fluids throughthe tubes is given as

    fofipu TTCmQ TaTUGA TTCmF pctpc fofipR

    Heat Removal Factor

    Effective Transmittance n1i 1iiae a1

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    Effective Transmittance-

    Absortance Product

    In order to take into account of the mult ip le abso rpt ion,

    t ransm iss ion b y the mult ip le layer of g lass coversand

    reduced loss of by the overall heat transfer coefficient, an

    effect ive transm ittanceabso rptance productis

    Introduces and expressed as

    n

    1i

    1iiae a1

    An effective transmittance-

    absorptance product can be

    approximatedfor collectors

    with ordinary glass

    01.1e

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    Collector Efficiency

    Typical collector efficiencycurves:

    As absorber temperature increases,

    the losses increases and the efficiencydrops.

    At lower ambient temperatures theefficiency is low because of higher loss.

    As the solar irradiation on the coverplate increases, the efficiency

    increases because the loss from the

    collector is fairly constant for given

    absorber and ambient temperature and

    becomes a smaller fraction.

    c

    t

    afic

    G

    )TT(U

    A collector is characterized

    by the intercept, and

    the slope

    nRF

    eRF cRUF

    t aficeRc G TTUF

    Example: Flat Plate Solar Collector

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    Example: Flat Plate Solar Collector

    Efficiency

    A 1 by 3 flat-plate double-glazed collector is availablefor a solar-heating applications. The transmittance of

    each of the two cover-plates is 0.87 and the aluminum

    absorber plate has an absorptivity of =0.9. Determine

    the collector efficiency when ,and . Use and

    2

    /800 mWISol

    CTfi0

    55 CT 010

    sol

    fi

    accrcolI

    TTUF

    21

    800

    10555.39.087.087.09.0col

    9.0FRKmWU ./5.3 2

    %5.43435.0 col

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    Concentrating Solar Collector

    Parabolic Trough- Line focus type

    Focuses the sun on to a pipe running

    down the center of trough.

    - Can produce temperature upto 150200 C

    - Used to produce steam for producing

    electricity- Trough can be pivoted to track the sun

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    Concentrating Solar Collector

    Parabolic Trough- Line focus type

    Focuses the sun on to a pipe running

    down the center of trough.

    - Can produce temperature upto 150200 C

    - Used to produce steam for producing

    electricity- Trough can be pivoted to track the sun

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    Concentrating Solar Collector

    Parabolic Dish Concentrator- Point focus type

    Focuses the sun on to the heat engine

    located at the center of the dish.- Can produce very high temperature

    700-1000C

    - Used to produce vapor for producing

    electricity

    - Dish can be pivoted to track the sun

    f O

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    1/9/2014

    Description of a Project Oriented

    Learning Module

    A typical solar projects are

    discussed in the following section.

    The objective is to understand some

    of the basic steps to be followed.

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    Solar Heated Swimming Pool

    Option-2:With a Auxiliary Heater and without a Thermal Storage

    Solar Collector

    Swimming Pool

    Auxiliary Heater

    Pump

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    Solar Heated Swimming Pool

    Option-3:With a Auxiliary Heater and a Thermal Storage

    Solar Collector

    Swimming Pool

    Auxiliary Heater

    Pump

    Thermal

    Storage

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    Solar Heated Swimming Pool

    Option-3:With a Auxiliary Heater and a Thermal Storage

    Solar Collector

    Swimming Pool

    Auxiliary Heater

    Pump

    Thermal

    Storage

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    Known Data

    1. Geographical Location:

    Santa Barbara, CA

    2. The Pool Dimension

    12m long x 8m wide with water

    depth that varies in the lengthwisedirection from 0.8m to 3.0m

    To be Designed Selected or

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    1/9/2014

    To be Designed , Selected or

    Determined

    1. Design Conditions

    - A comfortable water temperature for theindoor pool and indoor air condition

    - Design outdoor conditions

    2. A solar water heating system with or without

    thermal storage

    3. A system with or without a auxiliary gas orelectric heater

    4 Determine size and type of solar collector

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    1/9/2014

    4. Determine size and type of solar collector

    5. Decide placement of these collectors,

    their location, and orientation

    7. Estimate the total cost of the system

    including initial, operating andmaintenance

    8. Compare these costs to those associatedwith the use of a natural gas waterheating system

    A S l d i I i ti P

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    A Solar-driven Irrigation Pump

    Turbine

    SolarCollector

    CondenserPump

    IrrigationPump

    ph

    pm

    A solar-energy driven irrigation pump operating on a

    solar driven heat engine is to be analyzed and designed.

    C150T0

    H

    kPa10Pc

    B i Th

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    Basic Theory

    The solar collector collects a fraction of incident

    radiation and transfer to the circulating working

    fluid, producing saturated vapor and heating the

    working fluid.

    i,f0,ffu hhmQ

    tccu GAQ

    pppumpirr HgmW

    CHfturbine hhmW

    To be Designed , Selected or

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    To be Designed , Selected or

    Determined

    Select:Location, time and month of the year

    Determine:Incident solar radiation based on the

    selected location, day and month of the year.

    For Example: Over 0< t < 10

    Watt,10

    tSinAGtG ct

    Selection and Design of Solar

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    Selection and Design of Solar

    Collector

    Type: Flat Plate

    TransmittanceAbsorptance Product:

    Collector removal factor: = 0.024

    Overall loss coefficient:Collector efficiency:

    Where

    = Fluid temperature at inlet to the collector

    = Ambient air temperature

    = Incident solar radiation

    ain

    t

    LRc TT

    G

    UF

    84.0RF

    C.m/W0.8U 02L

    inT

    aT

    tG

    Perform the analysis for the base case and assuminga pumping rate of 10 GPM at the mid noon.

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    p p g

    Determine the collector area needed to meet this

    demand.

    Plot the irrigation pump flow rate during the daylighthours.

    Estimate the total water pumped in a day

    10

    0dtpmpm

    If the pumping rate is kept constant at 10 GPM

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    p p g p

    by using an auxiliary after-heater and

    maintaining the (saturated vapor) temperature

    constant at inlet to the turbine, determine theauxiliary energy needed at the after-heater.

    Repeat steps 1-2 with varying range of Turbineinlet temperature and condenser pressure and .Summarize your results for (a) solar collector

    area needed, (b) total pumping rate and (c) total

    auxiliary energy needed.