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Heat removal factor in compound parabolic collector Formula

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The Collector Heat Removal Factor is a measure of the efficiency of a solar collector in transferring heat to the working fluid under specific operating conditions. Check FAQs

F R = (\frac{m \cdot C p molar}{b \cdot U l \cdot L}) \cdot (1 - e^{- \frac{F′ \cdot b \cdot U l \cdot L}{m \cdot C p molar}})

F_R - Collector Heat Removal Factor?m - Mass Flowrate?C_{p molar} - Molar Specific Heat Capacity at Constant Pressure?b - Absorber Surface Width?U_l - Overall Loss Coefficient?L - Length of Concentrator?F′ - Collector Efficiency Factor?

Heat removal factor in compound parabolic collector Example

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Here is how the Heat removal factor in compound parabolic collector equation looks like.

0.0947 = (\frac{12 \cdot 122}{6 \cdot 1.25 \cdot 15}) \cdot (1 - e^{- \frac{0.095 \cdot 6 \cdot 1.25 \cdot 15}{12 \cdot 122}})

0.0947 = (\frac{12kg/s \cdot 122J/K*mol}{6m \cdot 1.25W/m²*K \cdot 15m}) \cdot (1 - e^{- \frac{0.095 \cdot 6m \cdot 1.25W/m²*K \cdot 15m}{12kg/s \cdot 122J/K*mol}})

0.0947 = (\frac{12 \cdot 122}{6 \cdot 1.25 \cdot 15}) \cdot (1 - e^{- \frac{0.095 \cdot 6 \cdot 1.25 \cdot 15}{12 \cdot 122}})

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Heat removal factor in compound parabolic collector Solution

Follow our step by step solution on how to calculate Heat removal factor in compound parabolic collector?

FIRST Step Consider the formula

F R = (\frac{m \cdot C p molar}{b \cdot U l \cdot L}) \cdot (1 - e^{- \frac{F′ \cdot b \cdot U l \cdot L}{m \cdot C p molar}})

Next Step Substitute values of Variables

∴

F R = (\frac{12kg/s \cdot 122J/K*mol}{6m \cdot 1.25W/m²*K \cdot 15m}) \cdot (1 - e^{- \frac{0.095 \cdot 6m \cdot 1.25W/m²*K \cdot 15m}{12kg/s \cdot 122J/K*mol}})

Next Step Prepare to Evaluate

∴

F R = (\frac{12 \cdot 122}{6 \cdot 1.25 \cdot 15}) \cdot (1 - e^{- \frac{0.095 \cdot 6 \cdot 1.25 \cdot 15}{12 \cdot 122}})

Next Step Evaluate

∴

F R = 0.0946540825343554

LAST Step Rounding Answer

∴

F R = 0.0947

Heat removal factor in compound parabolic collector Formula Elements

Variables

Collector Heat Removal Factor

The Collector Heat Removal Factor is a measure of the efficiency of a solar collector in transferring heat to the working fluid under specific operating conditions.

Symbol: F_R

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Collector Heat Removal Factor

Mass Flowrate

The Mass Flowrate is the measure of the mass of fluid passing through a given surface per unit time, essential for analyzing energy transfer in solar energy systems.

Symbol: m

Measurement: Mass Flow RateUnit: kg/s

Note: Value can be positive or negative.

Formulas to find Mass Flowrate

Molar Specific Heat Capacity at Constant Pressure

The Molar Specific Heat Capacity at Constant Pressure is the amount of heat required to raise the temperature of one mole of a substance at constant pressure.

Symbol: C_{p molar}

Measurement: Molar Specific Heat Capacity at Constant PressureUnit: J/K*mol

Note: Value should be greater than 0.

Formulas to find Molar Specific Heat Capacity at Constant Pressure

Absorber Surface Width

The Absorber Surface Width is the width of the surface that captures solar energy in concentrating solar collectors, influencing efficiency and energy absorption.

Symbol: b

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Absorber Surface Width

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

Length of Concentrator

The Length of Concentrator is the measurement of the physical extent of a solar concentrator, which focuses sunlight onto a receiver for energy conversion.

Symbol: L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Concentrator

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.

Symbol: F′

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Collector Efficiency Factor

Other Formulas to find Collector Heat Removal Factor

Go Heat removal factor concentrating collector

F R = (\frac{m \cdot C p molar}{π \cdot D o \cdot L \cdot U l}) \cdot (1 - e^{- \frac{F′ \cdot π \cdot D o \cdot U l \cdot L}{m \cdot C p molar}})

Other formulas in Concentrating Collectors category

Go Maximum possible concentration ratio of 2-D concentrator

C m = \frac{1}{\sin (θ a 2d)}

Go Maximum possible concentration ratio of 3-D concentrator

C m = \frac{2}{1 - \cos (2 \cdot θ a 3d)}

How to Evaluate Heat removal factor in compound parabolic collector?

Heat removal factor in compound parabolic collector evaluator uses Collector Heat Removal Factor = ((Mass Flowrate*Molar Specific Heat Capacity at Constant Pressure)/(Absorber Surface Width*Overall Loss Coefficient*Length of Concentrator))*(1-e^(-(Collector Efficiency Factor*Absorber Surface Width*Overall Loss Coefficient*Length of Concentrator)/(Mass Flowrate*Molar Specific Heat Capacity at Constant Pressure))) to evaluate the Collector Heat Removal Factor, The Heat removal factor in compound parabolic collector formula is defined as the ratio of the actual heat transfer to the maximum possible heat transfer through the collector plate. Collector Heat Removal Factor is denoted by F_R symbol.

How to evaluate Heat removal factor in compound parabolic collector using this online evaluator? To use this online evaluator for Heat removal factor in compound parabolic collector, enter Mass Flowrate (m), Molar Specific Heat Capacity at Constant Pressure (C_{p molar}), Absorber Surface Width (b), Overall Loss Coefficient (U_l), Length of Concentrator (L) & Collector Efficiency Factor (F′) and hit the calculate button.

FAQs on Heat removal factor in compound parabolic collector

What is the formula to find Heat removal factor in compound parabolic collector?

The formula of Heat removal factor in compound parabolic collector is expressed as Collector Heat Removal Factor = ((Mass Flowrate*Molar Specific Heat Capacity at Constant Pressure)/(Absorber Surface Width*Overall Loss Coefficient*Length of Concentrator))*(1-e^(-(Collector Efficiency Factor*Absorber Surface Width*Overall Loss Coefficient*Length of Concentrator)/(Mass Flowrate*Molar Specific Heat Capacity at Constant Pressure))). Here is an example- 0.094597 = ((12*122)/(6*1.25*15))*(1-e^(-(0.095*6*1.25*15)/(12*122))).

How to calculate Heat removal factor in compound parabolic collector?

With Mass Flowrate (m), Molar Specific Heat Capacity at Constant Pressure (C_{p molar}), Absorber Surface Width (b), Overall Loss Coefficient (U_l), Length of Concentrator (L) & Collector Efficiency Factor (F′) we can find Heat removal factor in compound parabolic collector using the formula - Collector Heat Removal Factor = ((Mass Flowrate*Molar Specific Heat Capacity at Constant Pressure)/(Absorber Surface Width*Overall Loss Coefficient*Length of Concentrator))*(1-e^(-(Collector Efficiency Factor*Absorber Surface Width*Overall Loss Coefficient*Length of Concentrator)/(Mass Flowrate*Molar Specific Heat Capacity at Constant Pressure))).

What are the other ways to Calculate Collector Heat Removal Factor?

Here are the different ways to Calculate Collector Heat Removal Factor-

Collector Heat Removal Factor=((Mass Flowrate*Molar Specific Heat Capacity at Constant Pressure)/(pi*Outer Diameter of Absorber Tube*Length of Concentrator*Overall Loss Coefficient))*(1-e^(-(Collector Efficiency Factor*pi*Outer Diameter of Absorber Tube*Overall Loss Coefficient*Length of Concentrator)/(Mass Flowrate*Molar Specific Heat Capacity at Constant Pressure)))

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Heat removal factor in compound parabolic collector Formula

​GoHeat removal factor concentrating collector Formula

Heat removal factor in compound parabolic collector Example

Heat removal factor in compound parabolic collector Solution

Heat removal factor in compound parabolic collector Formula Elements

Other Formulas to find Collector Heat Removal Factor

Other formulas in Concentrating Collectors category

How to Evaluate Heat removal factor in compound parabolic collector?

FAQs on Heat removal factor in compound parabolic collector

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GoHeat removal factor concentrating collector Formula