Collector efficiency factor for compound parabolic collector Solution

STEP 0: Pre-Calculation Summary
Formula Used
Collector Efficiency Factor = (Overall Loss Coefficient*(1/Overall Loss Coefficient+(Absorber Surface Width/(Number of Tubes*pi*Inner Diameter Absorber Tube*Heat Transfer Coefficient Inside))))^-1
F′ = (Ul*(1/Ul+(b/(N*pi*Di*hf))))^-1
This formula uses 1 Constants, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Collector Efficiency Factor - The Collector Efficiency Factor is a measure of how effectively a solar collector converts sunlight into usable energy, reflecting its performance in energy collection.
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.
Absorber Surface Width - (Measured in Meter) - The Absorber Surface Width is the width of the surface that captures solar energy in concentrating solar collectors, influencing efficiency and energy absorption.
Number of Tubes - The Number of Tubes is the total count of tubes used in a concentrating collector system, which helps capture and transfer solar energy efficiently.
Inner Diameter Absorber Tube - (Measured in Meter) - The Inner Diameter Absorber Tube is the internal width of the tube that collects solar energy in concentrating solar collectors, influencing efficiency and heat transfer.
Heat Transfer Coefficient Inside - (Measured in Watt per Square Meter per Kelvin) - The Heat Transfer Coefficient Inside is a measure of the efficiency of heat transfer within the interior of a concentrating solar collector.
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
Absorber Surface Width: 6 Meter --> 6 Meter No Conversion Required
Number of Tubes: 0.954678 --> No Conversion Required
Inner Diameter Absorber Tube: 0.15 Meter --> 0.15 Meter No Conversion Required
Heat Transfer Coefficient Inside: 1.75 Watt per Square Meter per Kelvin --> 1.75 Watt per Square Meter per Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F′ = (Ul*(1/Ul+(b/(N*pi*Di*hf))))^-1 --> (1.25*(1/1.25+(6/(0.954678*pi*0.15*1.75))))^-1
Evaluating ... ...
F′ = 0.0949999615110857
STEP 3: Convert Result to Output's Unit
0.0949999615110857 --> No Conversion Required
FINAL ANSWER
0.0949999615110857 0.095 <-- Collector Efficiency Factor
(Calculation completed in 00.004 seconds)

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Collector efficiency factor for compound parabolic collector Formula

​LaTeX ​Go
Collector Efficiency Factor = (Overall Loss Coefficient*(1/Overall Loss Coefficient+(Absorber Surface Width/(Number of Tubes*pi*Inner Diameter Absorber Tube*Heat Transfer Coefficient Inside))))^-1
F′ = (Ul*(1/Ul+(b/(N*pi*Di*hf))))^-1

What is Collector Efficiency Factor?

The collector efficiency factor is a measure of the effectiveness of a solar collector in transferring absorbed solar energy to the working fluid. It accounts for heat losses through the collector's surface and the efficiency of heat conduction within the collector. A higher efficiency factor indicates better performance, making it a crucial parameter in optimizing solar thermal systems for maximum energy conversion.






How to Calculate Collector efficiency factor for compound parabolic collector?

Collector efficiency factor for compound parabolic collector calculator uses Collector Efficiency Factor = (Overall Loss Coefficient*(1/Overall Loss Coefficient+(Absorber Surface Width/(Number of Tubes*pi*Inner Diameter Absorber Tube*Heat Transfer Coefficient Inside))))^-1 to calculate the Collector Efficiency Factor, The Collector efficiency factor for compound parabolic collector 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 for compound parabolic collector using this online calculator? To use this online calculator for Collector efficiency factor for compound parabolic collector, enter Overall Loss Coefficient (Ul), Absorber Surface Width (b), Number of Tubes (N), Inner Diameter Absorber Tube (Di) & Heat Transfer Coefficient Inside (hf) and hit the calculate button. Here is how the Collector efficiency factor for compound parabolic collector calculation can be explained with given input values -> 0.094578 = (1.25*(1/1.25+(6/(0.954678*pi*0.15*1.75))))^-1.

FAQ

What is Collector efficiency factor for compound parabolic collector?
The Collector efficiency factor for compound parabolic collector 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′ = (Ul*(1/Ul+(b/(N*pi*Di*hf))))^-1 or Collector Efficiency Factor = (Overall Loss Coefficient*(1/Overall Loss Coefficient+(Absorber Surface Width/(Number of Tubes*pi*Inner Diameter Absorber Tube*Heat Transfer Coefficient Inside))))^-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, The Absorber Surface Width is the width of the surface that captures solar energy in concentrating solar collectors, influencing efficiency and energy absorption, The Number of Tubes is the total count of tubes used in a concentrating collector system, which helps capture and transfer solar energy efficiently, The Inner Diameter Absorber Tube is the internal width of the tube that collects solar energy in concentrating solar collectors, influencing efficiency and heat transfer & The Heat Transfer Coefficient Inside is a measure of the efficiency of heat transfer within the interior of a concentrating solar collector.
How to calculate Collector efficiency factor for compound parabolic collector?
The Collector efficiency factor for compound parabolic collector 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 = (Overall Loss Coefficient*(1/Overall Loss Coefficient+(Absorber Surface Width/(Number of Tubes*pi*Inner Diameter Absorber Tube*Heat Transfer Coefficient Inside))))^-1. To calculate Collector efficiency factor for compound parabolic collector, you need Overall Loss Coefficient (Ul), Absorber Surface Width (b), Number of Tubes (N), Inner Diameter Absorber Tube (Di) & Heat Transfer Coefficient Inside (hf). With our tool, you need to enter the respective value for Overall Loss Coefficient, Absorber Surface Width, Number of Tubes, Inner Diameter Absorber Tube & Heat Transfer Coefficient Inside 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 Collector Efficiency Factor?
In this formula, Collector Efficiency Factor uses Overall Loss Coefficient, Absorber Surface Width, Number of Tubes, Inner Diameter Absorber Tube & Heat Transfer Coefficient Inside. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Collector Efficiency Factor = 1/(Overall Loss Coefficient*(1/Overall Loss Coefficient+Outer Diameter of Absorber Tube/(Inner Diameter Absorber Tube*Heat Transfer Coefficient Inside)))
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