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Collection efficiency when average transmissivity-absorptivity product is present Calculator

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✖Collector heat removal factor is the ratio of the actual heat transfer to the maximum possible heat transfer through the collector plate.ⓘ Collector Heat Removal Factor [F_R]			+10% -10%
✖Area of absorber plate is defined as the area exposed to the sun that absorbs incident radiation .ⓘ Area of Absorber Plate [A_p]			+10% -10%
✖Gross collector area is the area of the topmost cover including the frame.ⓘ Gross Collector Area [A_c]			+10% -10%
✖Average transmissivity-absorptivity product is the average product for both beam and diffuse radiation.ⓘ Average Transmissivity-Absorptivity Product [τα_av]			+10% -10%
✖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.ⓘ Overall Loss Coefficient [U_l]			+10% -10%
✖Inlet fluid temperature flat plate collector is defined as the temperature at which the liquid enters the liquid flat plate collector.ⓘ Inlet Fluid Temperature Flat Plate Collector [T_fi]			+10% -10%
✖Ambient Air Temperature is the temperature where the ramming process starts.ⓘ Ambient Air Temperature [T_a]			+10% -10%
✖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.ⓘ Flux Incident on Top Cover [I_T]			+10% -10%

✖Instantaneous collection efficiency is defined as ratio of useful heat gain to radiation incident on collector.ⓘ Collection efficiency when average transmissivity-absorptivity product is present [η_i]

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Collection efficiency when average transmissivity-absorptivity product is present Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
η_i = F_R*(A_p/A_c)*(τα_av-(U_l*(T_fi-T_a))/I_T)
This formula uses 9 Variables

Variables Used

Instantaneous Collection Efficiency - Instantaneous collection efficiency is defined as ratio of useful heat gain to radiation incident on collector.
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.
Area of Absorber Plate - (Measured in Square Meter) - Area of absorber plate is defined as the area exposed to the sun that absorbs incident radiation .
Gross Collector Area - (Measured in Square Meter) - Gross collector area is the area of the topmost cover including the frame.
Average Transmissivity-Absorptivity Product - Average transmissivity-absorptivity product is the average product for both beam and diffuse radiation.
Overall Loss Coefficient - (Measured in Watt per Square Meter per Kelvin) - 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.
Inlet Fluid Temperature Flat Plate Collector - (Measured in Kelvin) - Inlet fluid temperature flat plate collector is defined as the temperature at which the liquid enters the liquid flat plate collector.
Ambient Air Temperature - (Measured in Kelvin) - Ambient Air Temperature is the temperature where the ramming process starts.
Flux Incident on Top Cover - (Measured in Watt per Square Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Collector Heat Removal Factor: 0.1 --> No Conversion Required
Area of Absorber Plate: 13 Square Meter --> 13 Square Meter No Conversion Required
Gross Collector Area: 11 Square Meter --> 11 Square Meter No Conversion Required
Average Transmissivity-Absorptivity Product: 0.35 --> No Conversion Required
Overall Loss Coefficient: 1.25 Watt per Square Meter per Kelvin --> 1.25 Watt per Square Meter per Kelvin No Conversion Required
Inlet Fluid Temperature Flat Plate Collector: 10 Kelvin --> 10 Kelvin No Conversion Required
Ambient Air Temperature: 300 Kelvin --> 300 Kelvin No Conversion Required
Flux Incident on Top Cover: 450 Joule per Second per Square Meter --> 450 Watt per Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_i = F_R*(A_p/A_c)*(τα_av-(U_l*(T_fi-T_a))/I_T) --> 0.1*(13/11)*(0.35-(1.25*(10-300))/450)

Evaluating ... ...

η_i = 0.136565656565657

STEP 3: Convert Result to Output's Unit

0.136565656565657 --> No Conversion Required

FINAL ANSWER

0.136565656565657 ≈ 0.136566 <-- Instantaneous Collection Efficiency

(Calculation completed in 00.021 seconds)

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Home » Physics » Solar Energy Systems » Mechanical » Liquid Flat Plate Collectors » Collection efficiency when average transmissivity-absorptivity product is present

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< Liquid Flat Plate Collectors Calculators

Heat loss from collector

LaTeX Go Heat Loss from Collector = Overall Loss Coefficient*Area of Absorber Plate*(Average Temperature of Absorber Plate-Ambient Air Temperature)

Transmissivity Absorptivity product

LaTeX Go Transmissivity - Absorptivity Product = Transmissivity*Absorptivity/(1-(1-Absorptivity)*Diffuse Reflectivity)

Instantaneous collection efficiency

LaTeX Go Instantaneous Collection Efficiency = Useful Heat Gain/(Gross Collector Area*Flux Incident on Top Cover)

Useful heat gain

LaTeX Go Useful Heat Gain = Area of Absorber Plate*Flux Absorbed by Plate-Heat Loss from Collector

Collection efficiency when average transmissivity-absorptivity product is present Formula

LaTeX Go

What does collection efficiency mean?

It is the amount of energy removed by the transfer fluid over a given measuring period divided by the total incident solar radiation onto the gross collector area during the measuring period.

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

Collection efficiency when average transmissivity-absorptivity product is present calculator 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 calculate 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 calculate Collection efficiency when average transmissivity-absorptivity product is present using this online calculator? To use this online calculator 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. Here is how the Collection efficiency when average transmissivity-absorptivity product is present calculation can be explained with given input values -> 0.046288 = 0.1*(13/11)*(0.35-(1.25*(10-300))/450).

FAQ

What is Collection efficiency when average transmissivity-absorptivity product is present?

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 and is represented as η_i = F_R*(A_p/A_c)*(τα_av-(U_l*(T_fi-T_a))/I_T) or 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). Collector heat removal factor is the ratio of the actual heat transfer to the maximum possible heat transfer through the collector plate, Area of absorber plate is defined as the area exposed to the sun that absorbs incident radiation , Gross collector area is the area of the topmost cover including the frame, Average transmissivity-absorptivity product is the average product for both beam and diffuse radiation, 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, Inlet fluid temperature flat plate collector is defined as the temperature at which the liquid enters the liquid flat plate collector, Ambient Air Temperature is the temperature where the ramming process starts & 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.

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

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 is calculated using 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 calculate Collection efficiency when average transmissivity-absorptivity product is present, you need 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). With our tool, you need to enter the respective value for 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 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Instantaneous Collection Efficiency?

In this formula, Instantaneous Collection Efficiency uses 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. We can use 3 other way(s) to calculate the same, which is/are as follows -

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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