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Instantaneous collection efficiency of concentrating collector on basis of beam radiation Formula

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GoInstantaneous collection efficiency of concentrating collector Formula

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Instantaneous collection efficiency is defined as ratio of useful heat gain to radiation incident on collector. Check FAQs

η i = \frac{q u}{I b \cdot r b \cdot W \cdot L}

η_i - Instantaneous Collection Efficiency?q_u - Useful Heat Gain?I_b - Hourly Beam Component?r_b - Tilt Factor for Beam Radiation?W - Concentrator Aperture?L - Length of Concentrator?

Instantaneous collection efficiency of concentrating collector on basis of beam radiation Example

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Here is how the Instantaneous collection efficiency of concentrating collector on basis of beam radiation equation looks like with Values.

Here is how the Instantaneous collection efficiency of concentrating collector on basis of beam radiation equation looks like with Units.

Here is how the Instantaneous collection efficiency of concentrating collector on basis of beam radiation equation looks like.

0.7831 = \frac{3700}{180 \cdot 0.25 \cdot 7 \cdot 15}

0.7831 = \frac{3700W}{180J/sm² \cdot 0.25 \cdot 7m \cdot 15m}

0.7831 = \frac{3700}{180 \cdot 0.25 \cdot 7 \cdot 15}

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Instantaneous collection efficiency of concentrating collector on basis of beam radiation Solution

Follow our step by step solution on how to calculate Instantaneous collection efficiency of concentrating collector on basis of beam radiation?

FIRST Step Consider the formula

η i = \frac{q u}{I b \cdot r b \cdot W \cdot L}

Next Step Substitute values of Variables

∴

η i = \frac{3700W}{180J/sm² \cdot 0.25 \cdot 7m \cdot 15m}

Next Step Convert Units

∴

η i = \frac{3700W}{180W/m² \cdot 0.25 \cdot 7m \cdot 15m}

Next Step Prepare to Evaluate

∴

η i = \frac{3700}{180 \cdot 0.25 \cdot 7 \cdot 15}

Next Step Evaluate

∴

η i = 0.783068783068783

LAST Step Rounding Answer

∴

η i = 0.7831

Instantaneous collection efficiency of concentrating collector on basis of beam radiation Formula Elements

Variables

Instantaneous Collection Efficiency

Instantaneous collection efficiency is defined as ratio of useful heat gain to radiation incident on collector.

Symbol: η_i

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Instantaneous Collection Efficiency

Open Variable

Useful Heat Gain

Useful heat gain is defined as the rate of heat transfer to the working fluid.

Symbol: q_u

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Useful Heat Gain

Open Variable

Hourly Beam Component

Hourly beam component is defined as the solar radiation received from the Sun without having been scattered by the atmosphere per hour.

Symbol: I_b

Measurement: Heat Flux DensityUnit: J/sm²

Note: Value can be positive or negative.

Formulas to find Hourly Beam Component

Open Variable

Tilt Factor for Beam Radiation

Tilt factor for beam radiation is defined as the ratio of beam radiation flux falling on a tilted surface to that falling on an horizontal surface.

Symbol: r_b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Tilt Factor for Beam Radiation

Open Variable

Concentrator Aperture

Concentrator aperture is defined as the opening through which sun rays pass .

Symbol: W

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Concentrator Aperture

Open Variable

Length of Concentrator

Length of concentrator is the length of concentrator from one end to other end.

Symbol: L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Concentrator

Open Variable

Other Formulas to find Instantaneous Collection Efficiency

Go Instantaneous collection efficiency of concentrating collector

η i = \frac{q u}{(I b \cdot r b + I d \cdot r d) \cdot W \cdot L}

Other formulas in Concentrating Collectors category

Go Maximum possible concentration ratio of 2-D concentrator

C m = \frac{1}{\sin (θ a)}

Go Maximum possible concentration ratio of 3-D concentrator

C m = \frac{2}{1 - \cos (2 \cdot θ a)}

Go Useful heat gain in concentrating collector

q u = A a \cdot S - q l

Go Inclination of reflectors

Ψ = \frac{π - β - 2 \cdot Φ + 2 \cdot δ}{3}

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How to Evaluate Instantaneous collection efficiency of concentrating collector on basis of beam radiation?

Instantaneous collection efficiency of concentrating collector on basis of beam radiation evaluator uses Instantaneous Collection Efficiency = Useful Heat Gain/(Hourly Beam Component*Tilt Factor for Beam Radiation*Concentrator Aperture*Length of Concentrator) to evaluate the Instantaneous Collection Efficiency, Instantaneous collection efficiency of concentrating collector on basis of beam radiation formula is defined as the ratio of useful heat gain to the radiation incident on the collector. Instantaneous Collection Efficiency is denoted by η_i symbol.

How to evaluate Instantaneous collection efficiency of concentrating collector on basis of beam radiation using this online evaluator? To use this online evaluator for Instantaneous collection efficiency of concentrating collector on basis of beam radiation, enter Useful Heat Gain (q_u), Hourly Beam Component (I_b), Tilt Factor for Beam Radiation (r_b), Concentrator Aperture (W) & Length of Concentrator (L) and hit the calculate button.

FAQs on Instantaneous collection efficiency of concentrating collector on basis of beam radiation

What is the formula to find Instantaneous collection efficiency of concentrating collector on basis of beam radiation?

The formula of Instantaneous collection efficiency of concentrating collector on basis of beam radiation is expressed as Instantaneous Collection Efficiency = Useful Heat Gain/(Hourly Beam Component*Tilt Factor for Beam Radiation*Concentrator Aperture*Length of Concentrator). Here is an example- 0.783069 = 3700/(180*0.25*7*15).

How to calculate Instantaneous collection efficiency of concentrating collector on basis of beam radiation?

With Useful Heat Gain (q_u), Hourly Beam Component (I_b), Tilt Factor for Beam Radiation (r_b), Concentrator Aperture (W) & Length of Concentrator (L) we can find Instantaneous collection efficiency of concentrating collector on basis of beam radiation using the formula - Instantaneous Collection Efficiency = Useful Heat Gain/(Hourly Beam Component*Tilt Factor for Beam Radiation*Concentrator Aperture*Length of Concentrator).

What are the other ways to Calculate Instantaneous Collection Efficiency?

Here are the different ways to Calculate Instantaneous Collection Efficiency-

Instantaneous Collection Efficiency=Useful Heat Gain/((Hourly Beam Component*Tilt Factor for Beam Radiation+Hourly Diffuse Component*Tilt factor for Diffused Radiation)*Concentrator Aperture*Length of Concentrator)

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