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Instantaneous collection efficiency Formula

GoCollection efficiency when fluid temperature is present Formula

GoCollection efficiency when heat removal factor is present 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}{A c \cdot I T}

η_i - Instantaneous Collection Efficiency?q_u - Useful Heat Gain?A_c - Gross Collector Area?I_T - Flux Incident on Top Cover?

Instantaneous collection efficiency Example

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Here is how the Instantaneous collection efficiency equation looks like with Values.

Here is how the Instantaneous collection efficiency equation looks like with Units.

Here is how the Instantaneous collection efficiency equation looks like.

0.2245 = \frac{1111.5}{11 \cdot 450}

0.2245 = \frac{1111.5W}{11m² \cdot 450J/sm²}

0.2245 = \frac{1111.5}{11 \cdot 450}

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Instantaneous collection efficiency Solution

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

FIRST Step Consider the formula

η i = \frac{q u}{A c \cdot I T}

Next Step Substitute values of Variables

∴

η i = \frac{1111.5W}{11m² \cdot 450J/sm²}

Next Step Convert Units

∴

η i = \frac{1111.5W}{11m² \cdot 450W/m²}

Next Step Prepare to Evaluate

∴

η i = \frac{1111.5}{11 \cdot 450}

Next Step Evaluate

∴

η i = 0.224545454545455

LAST Step Rounding Answer

∴

η i = 0.2245

Instantaneous collection efficiency 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

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

Gross Collector Area

Gross collector area is the area of the topmost cover including the frame.

Symbol: A_c

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Gross Collector Area

Flux Incident on Top Cover

Flux Incident on Top Cover is the total incident flux on the top cover which is the sum of incident beam component and incident diffuse component.

Symbol: I_T

Measurement: Heat Flux DensityUnit: J/sm²

Note: Value should be greater than 0.

Formulas to find Flux Incident on Top Cover

Other Formulas to find Instantaneous Collection Efficiency

Go Collection efficiency when fluid temperature is present

η i = \frac{0.692 - 4.024 \cdot (T fi - T a)}{I T}

Go Collection efficiency when heat removal factor is present

η i = F R \cdot (\frac{A p}{A c}) \cdot (\frac{S flux}{I T} - (\frac{U l \cdot (T fi - T a)}{I T}))

Go Collection efficiency when average transmissivity-absorptivity product is present

η i = F R \cdot (\frac{A p}{A c}) \cdot (τα av - \frac{U l \cdot (T fi - T a)}{I T})

Go Collection efficiency when collector efficiency factor is present

η i = (F′ \cdot (\frac{A p}{A c}) \cdot τα av) - (F′ \cdot A p \cdot U l \cdot (T f - T a) \cdot \frac{1}{I T})

Other formulas in Liquid Flat Plate Collectors category

Go Useful heat gain

q u = A p \cdot S flux - q l

Go Transmissivity Absorptivity product

τα = τ \cdot \frac{α}{1 - (1 - α) \cdot ρ d}

Go Heat loss from collector

q l = U l \cdot A p \cdot (T pm - T a)

Go Bottom loss coefficient

U b = \frac{K Insulation}{δ b}

How to Evaluate Instantaneous collection efficiency?

Instantaneous collection efficiency evaluator uses Instantaneous Collection Efficiency = Useful Heat Gain/(Gross Collector Area*Flux Incident on Top Cover) to evaluate the Instantaneous Collection Efficiency, The Instantaneous collection efficiency 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 using this online evaluator? To use this online evaluator for Instantaneous collection efficiency, enter Useful Heat Gain (q_u), Gross Collector Area (A_c) & Flux Incident on Top Cover (I_T) and hit the calculate button.

FAQs on Instantaneous collection efficiency

What is the formula to find Instantaneous collection efficiency?

The formula of Instantaneous collection efficiency is expressed as Instantaneous Collection Efficiency = Useful Heat Gain/(Gross Collector Area*Flux Incident on Top Cover). Here is an example- 0.00404 = 1111.5/(11*450).

How to calculate Instantaneous collection efficiency?

With Useful Heat Gain (q_u), Gross Collector Area (A_c) & Flux Incident on Top Cover (I_T) we can find Instantaneous collection efficiency using the formula - Instantaneous Collection Efficiency = Useful Heat Gain/(Gross Collector Area*Flux Incident on Top Cover).

What are the other ways to Calculate Instantaneous Collection Efficiency?

Here are the different ways to Calculate Instantaneous Collection Efficiency-

Instantaneous Collection Efficiency=(0.692-4.024*(Inlet Fluid Temperature Flat Plate Collector-Ambient Air Temperature))/Flux Incident on Top Cover
Instantaneous Collection Efficiency=Collector Heat Removal Factor*(Area of Absorber Plate/Gross Collector Area)*(Flux Absorbed by Plate/Flux Incident on Top Cover-((Overall Loss Coefficient*(Inlet Fluid Temperature Flat Plate Collector-Ambient Air Temperature))/Flux Incident on Top Cover))
Instantaneous Collection Efficiency=Collector Heat Removal Factor*(Area of Absorber Plate/Gross Collector Area)*(Average Transmissivity-Absorptivity Product-(Overall Loss Coefficient*(Inlet Fluid Temperature Flat Plate Collector-Ambient Air Temperature))/Flux Incident on Top Cover)

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