Collector efficiency factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Collector Efficiency Factor = (1+Overall Loss Coefficient/Effective Heat Transfer Coefficient)^-1
F′ = (1+Ul/he)^-1
This formula uses 3 Variables
Variables Used
Collector Efficiency Factor - Collector Efficiency Factor is the ratio of the energy gained by the air to the energy received by the collector in a solar air heater system.
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.
Effective Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Effective Heat Transfer Coefficient is the rate of heat transfer between the solar air heater and the surrounding air, affecting its overall performance.
STEP 1: Convert Input(s) to Base Unit
Overall Loss Coefficient: 1.25 Watt per Square Meter per Kelvin --> 1.25 Watt per Square Meter per Kelvin No Conversion Required
Effective Heat Transfer Coefficient: 5.352681 Watt per Square Meter per Kelvin --> 5.352681 Watt per Square Meter per Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F′ = (1+Ul/he)^-1 --> (1+1.25/5.352681)^-1
Evaluating ... ...
F′ = 0.810682963481047
STEP 3: Convert Result to Output's Unit
0.810682963481047 --> No Conversion Required
FINAL ANSWER
0.810682963481047 0.810683 <-- Collector Efficiency Factor
(Calculation completed in 00.020 seconds)

Credits

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Created by ADITYA RAWAT
DIT UNIVERSITY (DITU), Dehradun
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Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
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Solar Air Heater Calculators

Effective heat transfer coefficient for variation
​ LaTeX ​ Go Effective Heat Transfer Coefficient = Convective Heat Transfer Coeff of Solar*(1+(2*Fin Height*Fin Effectiveness*Convective Heat Transfer Coeff of Solar Fin)/(Distance between Fins*Convective Heat Transfer Coeff of Solar))+(Equivalent Radiative Heat Transfer Coefficient*Convective Heat Transfer Coeff of Solar Bottom)/(Equivalent Radiative Heat Transfer Coefficient+Convective Heat Transfer Coeff of Solar Bottom)
Effective heat transfer coefficient
​ LaTeX ​ Go Effective Heat Transfer Coefficient = Convective Heat Transfer Coeff of Solar+(Equivalent Radiative Heat Transfer Coefficient*Convective Heat Transfer Coeff of Solar Bottom)/(Equivalent Radiative Heat Transfer Coefficient+Convective Heat Transfer Coeff of Solar Bottom)
Equivalent radiative heat transfer coefficient
​ LaTeX ​ Go Equivalent Radiative Heat Transfer Coefficient = (4*[Stefan-BoltZ]*(Average Temperature of Absorber Plate+Mean Temperature of Plate below)^3)/((1/Emissivity of Absorber Plate Surface)+(1/Emissivity of Bottom Plate Surface)-1*(8))
Collector efficiency factor
​ LaTeX ​ Go Collector Efficiency Factor = (1+Overall Loss Coefficient/Effective Heat Transfer Coefficient)^-1

Collector efficiency factor Formula

​LaTeX ​Go
Collector Efficiency Factor = (1+Overall Loss Coefficient/Effective Heat Transfer Coefficient)^-1
F′ = (1+Ul/he)^-1

What does Collector Efficiency Factor Specifiy?

The collector efficiency factor F′ conveys information about the variation in temperature over a segment . It is is essentially a constant factor for any collector design and fluid flow rate.

How to Calculate Collector efficiency factor?

Collector efficiency factor calculator uses Collector Efficiency Factor = (1+Overall Loss Coefficient/Effective Heat Transfer Coefficient)^-1 to calculate the Collector Efficiency Factor, Collector efficiency factor formula is defined as a dimensionless quantity that characterizes the thermal performance of a solar air heater, representing the ratio of actual heat gain to the maximum possible heat gain, thereby indicating the effectiveness of the collector in harnessing solar energy. Collector Efficiency Factor is denoted by F′ symbol.

How to calculate Collector efficiency factor using this online calculator? To use this online calculator for Collector efficiency factor, enter Overall Loss Coefficient (Ul) & Effective Heat Transfer Coefficient (he) and hit the calculate button. Here is how the Collector efficiency factor calculation can be explained with given input values -> 0.810683 = (1+1.25/5.352681)^-1.

FAQ

What is Collector efficiency factor?
Collector efficiency factor formula is defined as a dimensionless quantity that characterizes the thermal performance of a solar air heater, representing the ratio of actual heat gain to the maximum possible heat gain, thereby indicating the effectiveness of the collector in harnessing solar energy and is represented as F′ = (1+Ul/he)^-1 or Collector Efficiency Factor = (1+Overall Loss Coefficient/Effective Heat Transfer Coefficient)^-1. 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 & Effective Heat Transfer Coefficient is the rate of heat transfer between the solar air heater and the surrounding air, affecting its overall performance.
How to calculate Collector efficiency factor?
Collector efficiency factor formula is defined as a dimensionless quantity that characterizes the thermal performance of a solar air heater, representing the ratio of actual heat gain to the maximum possible heat gain, thereby indicating the effectiveness of the collector in harnessing solar energy is calculated using Collector Efficiency Factor = (1+Overall Loss Coefficient/Effective Heat Transfer Coefficient)^-1. To calculate Collector efficiency factor, you need Overall Loss Coefficient (Ul) & Effective Heat Transfer Coefficient (he). With our tool, you need to enter the respective value for Overall Loss Coefficient & Effective Heat Transfer Coefficient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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