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Collection efficiency when collector efficiency factor 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′ \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})

η_i - Instantaneous Collection Efficiency?F′ - Collector Efficiency Factor?A_p - Area of Absorber Plate?A_c - Gross Collector Area?τα_av - Average Transmissivity-Absorptivity Product?U_l - Overall Loss Coefficient?T_f - Average of Inlet and Outlet Temperature of fluid?T_a - Ambient Air Temperature?I_T - Flux Incident on Top Cover?

Collection efficiency when collector efficiency factor is present Example

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Here is how the Collection efficiency when collector efficiency factor is present equation looks like with Values.

Here is how the Collection efficiency when collector efficiency factor is present equation looks like with Units.

Here is how the Collection efficiency when collector efficiency factor is present equation looks like.

0.1349 = (0.3 \cdot (\frac{13}{11}) \cdot 0.35) - (0.3 \cdot 13 \cdot 1.25 \cdot (299 - 300) \cdot \frac{1}{450})

0.1349 = (0.3 \cdot (\frac{13m²}{11m²}) \cdot 0.35) - (0.3 \cdot 13m² \cdot 1.25W/m²*K \cdot (299K - 300K) \cdot \frac{1}{450J/sm²})

0.1349 = (0.3 \cdot (\frac{13}{11}) \cdot 0.35) - (0.3 \cdot 13 \cdot 1.25 \cdot (299 - 300) \cdot \frac{1}{450})

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Collection efficiency when collector efficiency factor is present Solution

Follow our step by step solution on how to calculate Collection efficiency when collector efficiency factor is present?

FIRST Step Consider the formula

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})

Next Step Substitute values of Variables

∴

η i = (0.3 \cdot (\frac{13m²}{11m²}) \cdot 0.35) - (0.3 \cdot 13m² \cdot 1.25W/m²*K \cdot (299K - 300K) \cdot \frac{1}{450J/sm²})

Next Step Convert Units

∴

η i = (0.3 \cdot (\frac{13m²}{11m²}) \cdot 0.35) - (0.3 \cdot 13m² \cdot 1.25W/m²*K \cdot (299K - 300K) \cdot \frac{1}{450W/m²})

Next Step Prepare to Evaluate

∴

η i = (0.3 \cdot (\frac{13}{11}) \cdot 0.35) - (0.3 \cdot 13 \cdot 1.25 \cdot (299 - 300) \cdot \frac{1}{450})

Next Step Evaluate

∴

η i = 0.134924242424242

LAST Step Rounding Answer

∴

η i = 0.1349

Collection efficiency when collector efficiency factor 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 Efficiency Factor

Collector efficiency factor is defined as the ratio of the actual thermal collector power to the power of an ideal collector whose absorber temperature is equal to the fluid temperature.

Symbol: F′

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Collector Efficiency 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

Average of Inlet and Outlet Temperature of fluid

Average of inlet and outlet temperature of fluid is defined as the arithmetic mean of inlet and outlet temperatures of fluid entering collector plate.

Symbol: T_f

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Average of Inlet and Outlet Temperature of fluid

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 collector efficiency factor is present?

Collection efficiency when collector efficiency factor is present evaluator uses Instantaneous Collection Efficiency = (Collector Efficiency Factor*(Area of Absorber Plate/Gross Collector Area)*Average Transmissivity-Absorptivity Product)-(Collector Efficiency Factor*Area of Absorber Plate*Overall Loss Coefficient*(Average of Inlet and Outlet Temperature of fluid-Ambient Air Temperature)*1/Flux Incident on Top Cover) to evaluate the Instantaneous Collection Efficiency, The Collection efficiency when collector efficiency factor 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 collector efficiency factor is present using this online evaluator? To use this online evaluator for Collection efficiency when collector efficiency factor is present, enter Collector Efficiency Factor (F′), Area of Absorber Plate (A_p), Gross Collector Area (A_c), Average Transmissivity-Absorptivity Product (τα_av), Overall Loss Coefficient (U_l), Average of Inlet and Outlet Temperature of fluid (T_f), Ambient Air Temperature (T_a) & Flux Incident on Top Cover (I_T) and hit the calculate button.

FAQs on Collection efficiency when collector efficiency factor is present

What is the formula to find Collection efficiency when collector efficiency factor is present?

The formula of Collection efficiency when collector efficiency factor is present is expressed as Instantaneous Collection Efficiency = (Collector Efficiency Factor*(Area of Absorber Plate/Gross Collector Area)*Average Transmissivity-Absorptivity Product)-(Collector Efficiency Factor*Area of Absorber Plate*Overall Loss Coefficient*(Average of Inlet and Outlet Temperature of fluid-Ambient Air Temperature)*1/Flux Incident on Top Cover). Here is an example- -2.844242 = (0.3*(13/11)*0.35)-(0.3*13*1.25*(299-300)*1/450).

How to calculate Collection efficiency when collector efficiency factor is present?

With Collector Efficiency Factor (F′), Area of Absorber Plate (A_p), Gross Collector Area (A_c), Average Transmissivity-Absorptivity Product (τα_av), Overall Loss Coefficient (U_l), Average of Inlet and Outlet Temperature of fluid (T_f), Ambient Air Temperature (T_a) & Flux Incident on Top Cover (I_T) we can find Collection efficiency when collector efficiency factor is present using the formula - Instantaneous Collection Efficiency = (Collector Efficiency Factor*(Area of Absorber Plate/Gross Collector Area)*Average Transmissivity-Absorptivity Product)-(Collector Efficiency Factor*Area of Absorber Plate*Overall Loss Coefficient*(Average of Inlet and Outlet Temperature of fluid-Ambient Air Temperature)*1/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 collector efficiency factor is present Formula

​GoInstantaneous collection efficiency Formula

​GoCollection efficiency when fluid temperature is present Formula

Collection efficiency when collector efficiency factor is present Example

Collection efficiency when collector efficiency factor is present Solution

Collection efficiency when collector efficiency factor 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 collector efficiency factor is present?

FAQs on Collection efficiency when collector efficiency factor is present

Variable Name

GoInstantaneous collection efficiency Formula

GoCollection efficiency when fluid temperature is present Formula