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 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.
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 defined as the heat transfer coefficient between the absorber plate and the air stream.
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: 0.95 Watt per Square Meter per Kelvin --> 0.95 Watt per Square Meter per Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F′ = (1+Ul/he)^-1 --> (1+1.25/0.95)^-1
Evaluating ... ...
F′ = 0.431818181818182
STEP 3: Convert Result to Output's Unit
0.431818181818182 --> No Conversion Required
FINAL ANSWER
0.431818181818182 0.431818 <-- Collector Efficiency Factor
(Calculation completed in 00.004 seconds)

Credits

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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Effective heat transfer coefficient for variation
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)
Incident flux when flow is between Cover and Absorber plate
Go Flux absorbed by plate = Convective heat transfer Coeff of solar*(Average temperature of absorber plate-Inlet fluid temperature flat plate collector)+(Equivalent radiative heat transfer coefficient*(Average temperature of absorber plate-Temperature of Cover))+(Bottom Loss Coefficient*(Average temperature of absorber plate-Ambient Air Temperature))
Mean temperature of plate below
Go Mean Temperature of Plate below = (Equivalent radiative heat transfer coefficient*Average temperature of absorber plate+Convective heat transfer Coeff of solar bottom*Average of Inlet and Outlet Temperature of fluid)/(Equivalent radiative heat transfer coefficient+Convective heat transfer Coeff of solar bottom)
Mean temperature of absorber plate
Go Average temperature of absorber plate = (Flux absorbed by plate+Overall loss coefficient*Ambient Air Temperature+Effective heat transfer coefficient*Average of Inlet and Outlet Temperature of fluid)/(Overall loss coefficient+Effective heat transfer coefficient)
Effective heat transfer coefficient
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
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)
Equivalent Diameter of fin channel
Go Equivalent diameter of fin channel = (4*(Distance between fins*Distance between absorber and bottom plate-Thickness of fin*Fin height))/(2*(Distance between fins+Fin height))
Collector efficiency factor
Go Collector Efficiency Factor = (1+Overall loss coefficient/Effective heat transfer coefficient)^-1

Collector efficiency factor Formula

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, The Collector efficiency factor formula 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. 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 -> 0.431818 = (1+1.25/0.95)^-1.

FAQ

What is Collector efficiency factor?
The Collector efficiency factor formula 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 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 defined as the heat transfer coefficient between the absorber plate and the air stream.
How to calculate Collector efficiency factor?
The Collector efficiency factor formula 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 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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