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ME 476 Solar Energy UNIT FOUR SOLAR COLLECTORS Flat Plate Collectors

UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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Page 1: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

ME 476

Solar Energy

UNIT FOUR

SOLAR COLLECTORS Flat Plate Collectors

Page 2: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

2

Outline

• What are flat plate collectors?

• Types of flat plate collectors

• Applications of flat plate collectors

• Materials of construction and their properties

• Thermal analysis of flat plate collectors

Page 3: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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What Are Flat Plate Collectors?

• A flat plate collector is a heat

exchanger that uses solar

irradiation to heat a working fluid.

• The working fluid is usually liquid

or air.

• The collector is a black surface

that is placed at a convenient

path of the sun.

• In flat plate collectors there is no

optical concentration of sunlight

and they are generally stationary.

• The outlet temperature capability

is below 100 °C

Page 4: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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• A typical flat plate collector is a metal box with a glass or

plastic cover (called glazing) on top and a dark-colored

absorber plate on the bottom.

• The sides and bottom of the collector are usually insulated

to minimize heat loss.

What Are Flat Plate Collectors?

Page 5: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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Components of Flat Plate Collectors?

ABSORBER PLATE

• The plate is usually made of copper, steel, or plastic.

• The surface is covered with a black material of high absorptance.

• A selective coating can be used to maximize the absorptance of

solar energy and minimizes the radiation emitted by plate.

Page 6: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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FLOW PASSAGES

• The flow passages carry the working fluid through the collector.

• If the working fluid is a liquid, the flow passage is usually a tube

that is attached to, or is a part of absorber plate.

• If the working fluid is air, the flow passages can have different

configurations.

Components of Flat Plate Collectors?

Page 7: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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COVER PLATE (GLAZING)

• To reduce convective and radiative heat losses from the absorber,

one or two transparent covers (glazing) are generally placed above

the absorber plate.

• They usually be made from glass or plastic.

Components of Flat Plate Collectors?

Page 8: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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INSULATION

• These are some materials such as fiberglass and they are placed

at the back and sides of the collector to reduce heat losses.

Components of Flat Plate Collectors?

Page 9: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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ENCLOSURE

• A box that encloses the collector to:

• Hold all the components together

• Protect them from weather

• Facilitate installation on a roof or appropriate frame.

Components of Flat Plate Collectors?

Page 10: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

10

Outline

• What are flat plate collectors?

• Types of flat plate collectors

• Applications of flat plate collectors

• Materials of construction and their properties

• Thermal analysis of flat plate collectors

Page 11: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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Types of Flat Plate Collectors

Glazing

Tube

Absorbing plate

Insulation

Glazing

Tube

Absorbing plate

Insulation

Glazing

Tube

Absorbing plate

Insulation

Glazing

Tube

Absorbing plate

Insulation

WATER SYSTEMS

Page 12: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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AIR SYSTEMS

Glazing

Air passage

Insulation

Glazing

Air flow

Metal matrix

Insulation

Glazing

Corrugated sheet

Insulation

Types of Flat Plate Collectors

Page 13: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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Outline

• What are flat plate collectors?

• Types of flat plate collectors

• Applications of flat plate collectors

• Materials of construction and their properties

• Thermal analysis of flat plate collectors

Page 14: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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Applications of Flat Plate Collectors

DOMESTIC HOT WATER

Page 15: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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WATER HEATING

Applications of Flat Plate Collectors

Page 16: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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SPACE HEATING

Applications of Flat Plate Collectors

Page 17: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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Outline

• What are flat plate collectors?

• Types of flat plate collectors

• Applications of flat plate collectors

• Materials of construction and their properties

• Thermal analysis of flat plate collectors

Page 18: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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Materials of Construction

ABSORBER PLATE

Material Absorptance

()

Emittance

()

Black silicon paint 0.86-0.94 0.83-0.89

Black copper over copper 0.85-0.9 0.08-0.12

Black chrome over nickel 0.92-0.94 0.07-0.12

Page 19: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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GLAZING

Polyvinly

floride

Polyethylene

terephthatalet

or polyster

Polycarbonate Fiberglass

reinforced

plastics

Solar Transmission, % 92-94 85 82-89 77-90

Maximum operating

temperature °C

110 100 120-135 95

Thermal expansion

coefficient (x10-6 m/m.K)

43 27 68 32-40

Materials of Construction

Page 20: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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INSULATION

Material Density

(kg/m3)

Thermal conductivity

at 95 °C

(W/mK)

Fiber glass with

organic binder 11 0.059

“ 16 0.050

“ 24 0.045

“ 48 0.043

Materials of Construction

Page 21: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

21

Outline

• What are flat plate collectors?

• Types of flat plate collectors

• Applications of flat plate collectors

• Materials of construction and their properties

• Thermal analysis of flat plate collectors

Page 22: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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Energy Absorbed by a Flat Plate Collector

• The irradiation incident on a collector (Gt) is not all absorbed.

• Once the irradiation penetrates the glass cover, part of it is

absorbed by the collector, but another part is reflected back

diffusely to the glass cover.

• The glass cover then reflects diffusely to the absorber, and so on.

Page 23: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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• The net energy absorbed by the collector can be expressed in

terms of a quantity called (t).

• Theoretically, the net energy absorbed by the collector per unit

area is:

S = Gt (t)av

Where (t)av is the average value of (t)

Energy Absorbed by a Flat Plate Collector

Page 24: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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Energy Gain of a Flat Plate Collector

• The useful energy gain of a flat plate collector is given by:

Qu = S x Ac – Qloss

• Qloss can be due to energy loss through:

• Top of the collector

• Bottom of collector

• Edges of collector

• Qloss can be expressed as: Qloss = UL Ac (Tp – Ta)

where,

• Tp: mean temperature of the absorber plate

• Ta: ambient temperature

• UL: overall heat transfer coefficient based on collector area

Page 25: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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Energy Loss of a Flat Plate Collector

• UL consists of Ut (top), Ub (bottom), and Ue (edges)

Page 26: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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Ut involves the calculation of:

• hc,p-g: convective heat transfer

coefficient between plate and glazing

• hr,p-g: radiative heat transfer

coefficient between plate and glazing

• hc,g-a: convective heat transfer

coefficient between glazing and

ambient air

• hr,g-a: radiative heat transfer

coefficient between glazing and

ambient air

• Calculations of all the components of Ut is complicated.

Energy Loss of a Flat Plate Collector

Page 27: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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• A relatively simple alternative formula can be used:

C = 365.9 (1 – 0.00883 + 0.0001298 2)

Energy Loss of a Flat Plate Collector

Page 28: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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• Ub can be found from:

Where,

Energy Loss of a Flat Plate Collector

Page 29: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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• Ue can be found from:

Where,

Energy Loss of a Flat Plate Collector

Page 30: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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Energy Gain of a Flat Plate Collector

• The useful energy gain of a flat plate collector is given by:

Qu = S x Ac – Qloss

• Expanding all terms,

• The useful energy gained by the collector is transferred

completely to the working fluid. Therefore,

Where,

• Ti : fluid inlet temperature

• To : fluid outlet temperature

Page 31: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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Heat Removal Factor

• Calculating Tp accurately is difficult.

• It is more convenient to express Qu in terms of the fluid

temperatures.

• A useful definition is the heat removal factor (FR):

Page 32: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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• By using the heat removal factor (FR), the useful energy gain

equation becomes:

• FR depends on many factors, and it can be found analytically.

• FR can also be found experimentally.

Heat Removal Factor

Page 33: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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Collector Efficiency

• Collector efficiency (h) is defined as the:

• h = useful energy gain / irradiation incident on the collector

𝜂 =𝑄𝑢𝐺𝑡𝐴𝑐

• This equation can be expressed in terms of FR:

Page 34: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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• The efficiency equation can be rearranged as follows:

𝜂 = 𝐹𝑅 𝜏𝛼 − 𝐹𝑅𝑈𝐿𝑇𝑖 − 𝑇𝑎𝐺𝑡

• If changes in FR and UL are small, the equation above

represents a straight line, where:

• (Ti – Ta) / Gt is the independent variable

• h is the dependent variable

• FR (t) is the intercept

• (- FR UL) is the slope

Collector Efficiency

Page 35: UNIT FOUR SOLAR COLLECTORS - KSUfac.ksu.edu.sa/.../unit_4_-_solar_collectors_-_flat_plate_collectors_0.pdf · solar energy and minimizes the radiation emitted by plate. 6 FLOW PASSAGES

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𝜂 = 𝐹𝑅 𝜏𝛼 − 𝐹𝑅𝑈𝐿𝑇𝑖 − 𝑇𝑎𝐺𝑡

Collector Efficiency