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Collection efficiency when average transmissivity-absorptivity product is present Formula

GoInstantaneous collection efficiency Formula

GoCollection efficiency when fluid temperature 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 = F R \cdot (\frac{A p}{A c}) \cdot (τα av - \frac{U l \cdot (T fi - T a)}{I T})

η_i - Instantaneous Collection Efficiency?F_R - Collector Heat Removal Factor?A_p - Area of Absorber Plate?A_c - Gross Collector Area?τα_av - Average Transmissivity-Absorptivity Product?U_l - Overall Loss Coefficient?T_fi - Inlet Fluid Temperature Flat Plate Collector?T_a - Ambient Air Temperature?I_T - Flux Incident on Top Cover?

Collection efficiency when average transmissivity-absorptivity product is present Example

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Here is how the Collection efficiency when average transmissivity-absorptivity product is present equation looks like with Values.

Here is how the Collection efficiency when average transmissivity-absorptivity product is present equation looks like with Units.

Here is how the Collection efficiency when average transmissivity-absorptivity product is present equation looks like.

0.1366 = 0.1 \cdot (\frac{13}{11}) \cdot (0.35 - \frac{1.25 \cdot (10 - 300)}{450})

0.1366 = 0.1 \cdot (\frac{13m²}{11m²}) \cdot (0.35 - \frac{1.25W/m²*K \cdot (10K - 300K)}{450J/sm²})

0.1366 = 0.1 \cdot (\frac{13}{11}) \cdot (0.35 - \frac{1.25 \cdot (10 - 300)}{450})

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Collection efficiency when average transmissivity-absorptivity product is present Solution

Follow our step by step solution on how to calculate Collection efficiency when average transmissivity-absorptivity product is present?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

η i = 0.1 \cdot (\frac{13m²}{11m²}) \cdot (0.35 - \frac{1.25W/m²*K \cdot (10K - 300K)}{450J/sm²})

Next Step Convert Units

∴

η i = 0.1 \cdot (\frac{13m²}{11m²}) \cdot (0.35 - \frac{1.25W/m²*K \cdot (10K - 300K)}{450W/m²})

Next Step Prepare to Evaluate

∴

η i = 0.1 \cdot (\frac{13}{11}) \cdot (0.35 - \frac{1.25 \cdot (10 - 300)}{450})

Next Step Evaluate

∴

η i = 0.136565656565657

LAST Step Rounding Answer

∴

η i = 0.1366

Collection efficiency when average transmissivity-absorptivity product is present 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

Collector Heat Removal Factor

Collector heat removal factor is the ratio of the actual heat transfer to the maximum possible heat transfer through the collector plate.

Symbol: F_R

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Collector Heat Removal Factor

Area of Absorber Plate

Area of absorber plate is defined as the area exposed to the sun that absorbs incident radiation .

Symbol: A_p

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Absorber Plate

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

Average Transmissivity-Absorptivity Product

Average transmissivity-absorptivity product is the average product for both beam and diffuse radiation.

Symbol: τα_av

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Average Transmissivity-Absorptivity Product

Overall Loss Coefficient

Overall loss coefficient is defined as the heat loss from collector per unit area of absorber plate and temperature difference between absorber plate and surrounding air.

Symbol: U_l

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value should be greater than 0.

Formulas to find Overall Loss Coefficient

Inlet Fluid Temperature Flat Plate Collector

Inlet fluid temperature flat plate collector is defined as the temperature at which the liquid enters the liquid flat plate collector.

Symbol: T_fi

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Inlet Fluid Temperature Flat Plate Collector

Ambient Air Temperature

Ambient Air Temperature is the temperature where the ramming process starts.

Symbol: T_a

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Ambient Air Temperature

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 Instantaneous collection efficiency

η i = \frac{q u}{A c \cdot I T}

Go Collection efficiency when fluid temperature is present

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

How to Evaluate Collection efficiency when average transmissivity-absorptivity product is present?

Collection efficiency when average transmissivity-absorptivity product is present evaluator uses 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) to evaluate the Instantaneous Collection Efficiency, The Collection efficiency when average transmissivity-absorptivity product is present 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 Collection efficiency when average transmissivity-absorptivity product is present using this online evaluator? To use this online evaluator for Collection efficiency when average transmissivity-absorptivity product is present, enter Collector Heat Removal Factor (F_R), Area of Absorber Plate (A_p), Gross Collector Area (A_c), Average Transmissivity-Absorptivity Product (τα_av), Overall Loss Coefficient (U_l), Inlet Fluid Temperature Flat Plate Collector (T_fi), Ambient Air Temperature (T_a) & Flux Incident on Top Cover (I_T) and hit the calculate button.

FAQs on Collection efficiency when average transmissivity-absorptivity product is present

What is the formula to find Collection efficiency when average transmissivity-absorptivity product is present?

The formula of Collection efficiency when average transmissivity-absorptivity product is present is expressed as 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). Here is an example- 0.046288 = 0.1*(13/11)*(0.35-(1.25*(10-300))/450).

How to calculate Collection efficiency when average transmissivity-absorptivity product is present?

With Collector Heat Removal Factor (F_R), Area of Absorber Plate (A_p), Gross Collector Area (A_c), Average Transmissivity-Absorptivity Product (τα_av), Overall Loss Coefficient (U_l), Inlet Fluid Temperature Flat Plate Collector (T_fi), Ambient Air Temperature (T_a) & Flux Incident on Top Cover (I_T) we can find Collection efficiency when average transmissivity-absorptivity product is present using the formula - 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).

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/(Gross Collector Area*Flux Incident on Top Cover)
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))

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Collection efficiency when average transmissivity-absorptivity product is present Formula

​GoInstantaneous collection efficiency Formula

​GoCollection efficiency when fluid temperature is present Formula

Collection efficiency when average transmissivity-absorptivity product is present Example

Collection efficiency when average transmissivity-absorptivity product is present Solution

Collection efficiency when average transmissivity-absorptivity product is present Formula Elements

Other Formulas to find Instantaneous Collection Efficiency

Other formulas in Liquid Flat Plate Collectors category

How to Evaluate Collection efficiency when average transmissivity-absorptivity product is present?

FAQs on Collection efficiency when average transmissivity-absorptivity product is present

Variable Name

GoInstantaneous collection efficiency Formula

GoCollection efficiency when fluid temperature is present Formula