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Collector efficiency factor for compound parabolic collector Calculator

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✖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%
✖Absorber surface width is the measurement or extent of the surface from side to side.ⓘ Absorber Surface Width [b]			+10% -10%
✖Number of tubes are the total tubes through which the fluid flows and takes heat from the absorber surface.ⓘ Number of Tubes [N]			+10% -10%
✖Inner diameter absorber tube is defined as the inside diameter of absorber tube.ⓘ Inner Diameter Absorber Tube [D_i]			+10% -10%
✖Heat transfer coefficient inside is the heat transfer coefficient on the inside surface of the tube.ⓘ Heat Transfer Coefficient Inside [h_f]			+10% -10%

✖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.ⓘ Collector efficiency factor for compound parabolic collector [F′]

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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′ = (U_l*(1/U_l+(b/(N*pi*D_i*h_f))))^-1
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Absorber Surface Width - (Measured in Meter) - Absorber surface width is the measurement or extent of the surface from side to side.
Number of Tubes - Number of tubes are the total tubes through which the fluid flows and takes heat from the absorber surface.
Inner Diameter Absorber Tube - (Measured in Meter) - Inner diameter absorber tube is defined as the inside diameter of absorber tube.
Heat Transfer Coefficient Inside - (Measured in Watt per Square Meter per Kelvin) - Heat transfer coefficient inside is the heat transfer coefficient on the inside surface of the tube.

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: 33 Meter --> 33 Meter No Conversion Required
Number of Tubes: 6 --> 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′ = (U_l*(1/U_l+(b/(N*pi*D_i*h_f))))^-1 --> (1.25*(1/1.25+(33/(6*pi*0.15*1.75))))^-1

Evaluating ... ...

F′ = 0.107104366565175

STEP 3: Convert Result to Output's Unit

0.107104366565175 --> No Conversion Required

FINAL ANSWER

0.107104366565175 ≈ 0.107104 <-- Collector Efficiency Factor

(Calculation completed in 00.004 seconds)

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Collector efficiency factor for compound parabolic collector Formula

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What does collector efficiency factor specify?

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 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 (U_l), Absorber Surface Width (b), Number of Tubes (N), Inner Diameter Absorber Tube (D_i) & Heat Transfer Coefficient Inside (h_f) and hit the calculate button. Here is how the Collector efficiency factor for compound parabolic collector calculation can be explained with given input values -> 0.84071 = (1.25*(1/1.25+(33/(6*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′ = (U_l*(1/U_l+(b/(N*pi*D_i*h_f))))^-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, Absorber surface width is the measurement or extent of the surface from side to side, Number of tubes are the total tubes through which the fluid flows and takes heat from the absorber surface, Inner diameter absorber tube is defined as the inside diameter of absorber tube & Heat transfer coefficient inside is the heat transfer coefficient on the inside surface of the tube.

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 (U_l), Absorber Surface Width (b), Number of Tubes (N), Inner Diameter Absorber Tube (D_i) & Heat Transfer Coefficient Inside (h_f). 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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