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Instantaneous collection efficiency of concentrating collector Formula

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

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The Instantaneous Collection Efficiency is the measure of how effectively a solar collector converts sunlight into usable energy at a specific moment in time. Check FAQs

η i = \frac{q u}{(I b \cdot r b + I d \cdot r d) \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?I_d - Hourly Diffuse Component?r_d - Tilt factor for Diffused Radiation?W - Concentrator Aperture?L - Length of Concentrator?

Instantaneous collection efficiency of concentrating collector Example

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Here is how the Instantaneous collection efficiency of concentrating collector equation looks like.

0.7831 = \frac{3700}{(180 \cdot 0.25 + 9 \cdot 1.4E-6) \cdot 7 \cdot 15}

0.7831 = \frac{3700W}{(180J/sm² \cdot 0.25 + 9J/sm² \cdot 1.4E-6) \cdot 7m \cdot 15m}

0.7831 = \frac{3700}{(180 \cdot 0.25 + 9 \cdot 1.4E-6) \cdot 7 \cdot 15}

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Instantaneous collection efficiency of concentrating collector Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

η i = \frac{3700W}{(180J/sm² \cdot 0.25 + 9J/sm² \cdot 1.4E-6) \cdot 7m \cdot 15m}

Next Step Convert Units

∴

η i = \frac{3700W}{(180W/m² \cdot 0.25 + 9W/m² \cdot 1.4E-6) \cdot 7m \cdot 15m}

Next Step Prepare to Evaluate

∴

η i = \frac{3700}{(180 \cdot 0.25 + 9 \cdot 1.4E-6) \cdot 7 \cdot 15}

Next Step Evaluate

∴

η i = 0.78306856613843

LAST Step Rounding Answer

∴

η i = 0.7831

Instantaneous collection efficiency of concentrating collector Formula Elements

Variables

Instantaneous Collection Efficiency

The Instantaneous Collection Efficiency is the measure of how effectively a solar collector converts sunlight into usable energy at a specific moment in time.

Symbol: η_i

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Instantaneous Collection Efficiency

Useful Heat Gain

The Useful Heat Gain is the amount of thermal energy collected by a solar concentrating system, contributing to the efficiency of solar energy conversion.

Symbol: q_u

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Useful Heat Gain

Hourly Beam Component

The Hourly Beam Component is the amount of solar radiation received per hour on a surface, crucial for optimizing the performance of solar energy systems.

Symbol: I_b

Measurement: Heat Flux DensityUnit: J/sm²

Note: Value can be positive or negative.

Formulas to find Hourly Beam Component

Tilt Factor for Beam Radiation

The Tilt Factor for Beam Radiation is a measure that indicates how the angle of a solar collector affects the amount of direct sunlight it receives.

Symbol: r_b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Tilt Factor for Beam Radiation

Hourly Diffuse Component

The Hourly Diffuse Component is the amount of solar radiation received per hour that is scattered and diffused by the atmosphere, impacting solar energy collection efficiency.

Symbol: I_d

Measurement: Heat Flux DensityUnit: J/sm²

Note: Value can be positive or negative.

Formulas to find Hourly Diffuse Component

Tilt factor for Diffused Radiation

The Tilt factor for Diffused Radiation is a measure that adjusts the amount of diffused solar radiation received by a surface based on its angle of inclination.

Symbol: r_d

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Tilt factor for Diffused Radiation

Concentrator Aperture

The Concentrator Aperture is the opening through which sunlight enters a solar concentrator, playing a crucial role in capturing and directing solar energy for conversion.

Symbol: W

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Concentrator Aperture

Length of Concentrator

The Length of Concentrator is the measurement of the physical extent of a solar concentrator, which focuses sunlight onto a receiver for energy conversion.

Symbol: L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Concentrator

Other Formulas to find Instantaneous Collection Efficiency

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

η i = \frac{q u}{I b \cdot r b \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 2d)}

Go Maximum possible concentration ratio of 3-D concentrator

C m = \frac{2}{1 - \cos (2 \cdot θ a 3d)}

How to Evaluate Instantaneous collection efficiency of concentrating collector?

Instantaneous collection efficiency of concentrating collector evaluator uses 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) to evaluate the Instantaneous Collection Efficiency, The Instantaneous collection efficiency of concentrating collector 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 using this online evaluator? To use this online evaluator for Instantaneous collection efficiency of concentrating collector, enter Useful Heat Gain (q_u), Hourly Beam Component (I_b), Tilt Factor for Beam Radiation (r_b), Hourly Diffuse Component (I_d), Tilt factor for Diffused Radiation (r_d), Concentrator Aperture (W) & Length of Concentrator (L) and hit the calculate button.

FAQs on Instantaneous collection efficiency of concentrating collector

What is the formula to find Instantaneous collection efficiency of concentrating collector?

The formula of Instantaneous collection efficiency of concentrating collector is expressed as 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). Here is an example- 0.395889 = 3700/((180*0.25+9*1.38513E-06)*7*15).

How to calculate Instantaneous collection efficiency of concentrating collector?

With Useful Heat Gain (q_u), Hourly Beam Component (I_b), Tilt Factor for Beam Radiation (r_b), Hourly Diffuse Component (I_d), Tilt factor for Diffused Radiation (r_d), Concentrator Aperture (W) & Length of Concentrator (L) we can find Instantaneous collection efficiency of concentrating collector using the formula - 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).

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*Concentrator Aperture*Length of Concentrator)

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Instantaneous collection efficiency of concentrating collector Formula

​GoInstantaneous collection efficiency of concentrating collector on basis of beam radiation Formula

Instantaneous collection efficiency of concentrating collector Example

Instantaneous collection efficiency of concentrating collector Solution

Instantaneous collection efficiency of concentrating collector Formula Elements

Other Formulas to find Instantaneous Collection Efficiency

Other formulas in Concentrating Collectors category

How to Evaluate Instantaneous collection efficiency of concentrating collector?

FAQs on Instantaneous collection efficiency of concentrating collector

Variable Name

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