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Collector efficiency factor for compound parabolic collector Formula

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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. Check FAQs

F′ = {(U l \cdot (\frac{1}{U l} + (\frac{b}{N \cdot π \cdot D i \cdot h f})))}^{- 1}

F′ - Collector Efficiency Factor?U_l - Overall Loss Coefficient?b - Absorber Surface Width?N - Number of Tubes?D_i - Inner Diameter Absorber Tube?h_f - Heat Transfer Coefficient Inside?π - Archimedes' constant?

Collector efficiency factor for compound parabolic collector Example

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Here is how the Collector efficiency factor for compound parabolic collector equation looks like with Values.

Here is how the Collector efficiency factor for compound parabolic collector equation looks like with Units.

Here is how the Collector efficiency factor for compound parabolic collector equation looks like.

0.1071 = {(1.25 \cdot (\frac{1}{1.25} + (\frac{33}{6 \cdot 3.1416 \cdot 0.15 \cdot 1.75})))}^{- 1}

0.1071 = {(1.25W/m²*K \cdot (\frac{1}{1.25W/m²*K} + (\frac{33m}{6 \cdot 3.1416 \cdot 0.15m \cdot 1.75W/m²*K})))}^{- 1}

0.1071 = {(1.25 \cdot (\frac{1}{1.25} + (\frac{33}{6 \cdot 3.1416 \cdot 0.15 \cdot 1.75})))}^{- 1}

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Collector efficiency factor for compound parabolic collector Solution

Follow our step by step solution on how to calculate Collector efficiency factor for compound parabolic collector?

FIRST Step Consider the formula

F′ = {(U l \cdot (\frac{1}{U l} + (\frac{b}{N \cdot π \cdot D i \cdot h f})))}^{- 1}

Next Step Substitute values of Variables

∴

F′ = {(1.25W/m²*K \cdot (\frac{1}{1.25W/m²*K} + (\frac{33m}{6 \cdot π \cdot 0.15m \cdot 1.75W/m²*K})))}^{- 1}

Next Step Substitute values of Constants

∴

F′ = {(1.25W/m²*K \cdot (\frac{1}{1.25W/m²*K} + (\frac{33m}{6 \cdot 3.1416 \cdot 0.15m \cdot 1.75W/m²*K})))}^{- 1}

Next Step Prepare to Evaluate

∴

F′ = {(1.25 \cdot (\frac{1}{1.25} + (\frac{33}{6 \cdot 3.1416 \cdot 0.15 \cdot 1.75})))}^{- 1}

Next Step Evaluate

∴

F′ = 0.107104366565175

LAST Step Rounding Answer

∴

F′ = 0.1071

Collector efficiency factor for compound parabolic collector Formula Elements

Variables

Constants

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.

Symbol: F′

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Collector Efficiency Factor

Overall Loss Coefficient

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.

Symbol: U_l

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value should be greater than 0.

Formulas to find Overall Loss Coefficient

Absorber Surface Width

Absorber surface width is the measurement or extent of the surface from side to side.

Symbol: b

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Absorber Surface Width

Number of Tubes

Number of tubes are the total tubes through which the fluid flows and takes heat from the absorber surface.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Tubes

Inner Diameter Absorber Tube

Inner diameter absorber tube is defined as the inside diameter of absorber tube.

Symbol: D_i

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Inner Diameter Absorber Tube

Heat Transfer Coefficient Inside

Heat transfer coefficient inside is the heat transfer coefficient on the inside surface of the tube.

Symbol: h_f

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value can be positive or negative.

Formulas to find Heat Transfer Coefficient Inside

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Collector Efficiency Factor

Go Collector efficiency factor concentrating collector

F′ = \frac{1}{U l \cdot (\frac{1}{U l} + \frac{D o}{D i \cdot h f})}

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q u = A a \cdot S - q l

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Ψ = \frac{π - β - 2 \cdot Φ + 2 \cdot δ}{3}

How to Evaluate Collector efficiency factor for compound parabolic collector?

Collector efficiency factor for compound parabolic collector evaluator 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 evaluate 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 evaluate Collector efficiency factor for compound parabolic collector using this online evaluator? To use this online evaluator 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.

FAQs on Collector efficiency factor for compound parabolic collector

What is the formula to find Collector efficiency factor for compound parabolic collector?

The formula of Collector efficiency factor for compound parabolic collector is expressed as 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. Here is an example- 0.84071 = (1.25*(1/1.25+(33/(6*pi*0.15*1.75))))^-1.

How to calculate Collector efficiency factor for compound parabolic collector?

With 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) we can find Collector efficiency factor for compound parabolic collector using the formula - 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. This formula also uses Archimedes' constant .

What are the other ways to Calculate Collector Efficiency Factor?

Here are the different ways to Calculate Collector Efficiency Factor-

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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Collector efficiency factor for compound parabolic collector Formula

​GoCollector efficiency factor concentrating collector Formula

Collector efficiency factor for compound parabolic collector Example

Collector efficiency factor for compound parabolic collector Solution

Collector efficiency factor for compound parabolic collector Formula Elements

Other Formulas to find Collector Efficiency Factor

Other formulas in Concentrating Collectors category

How to Evaluate Collector efficiency factor for compound parabolic collector?

FAQs on Collector efficiency factor for compound parabolic collector

Variable Name

GoCollector efficiency factor concentrating collector Formula