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Heat removal factor concentrating collector Formula

GoHeat removal factor in compound parabolic collector Formula

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Collector heat removal factor is the ratio of the actual heat transfer to the maximum possible heat transfer through the collector plate. Check FAQs

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}})

F_R - Collector Heat Removal Factor?m - Mass Flowrate?C_{p molar} - Molar Specific Heat Capacity at Constant Pressure?D_o - Outer Diameter of Absorber Tube?L - Length of Concentrator?U_l - Overall Loss Coefficient?F′ - Collector Efficiency Factor?π - Archimedes' constant?

Heat removal factor concentrating collector Example

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Here is how the Heat removal factor concentrating collector equation looks like with Values.

Here is how the Heat removal factor concentrating collector equation looks like with Units.

Here is how the Heat removal factor concentrating collector equation looks like.

0.0946 = (\frac{12 \cdot 122}{3.1416 \cdot 2 \cdot 15 \cdot 1.25}) \cdot (1 - e^{- \frac{0.095 \cdot 3.1416 \cdot 2 \cdot 1.25 \cdot 15}{12 \cdot 122}})

0.0946 = (\frac{12kg/s \cdot 122J/K*mol}{3.1416 \cdot 2m \cdot 15m \cdot 1.25W/m²*K}) \cdot (1 - e^{- \frac{0.095 \cdot 3.1416 \cdot 2m \cdot 1.25W/m²*K \cdot 15m}{12kg/s \cdot 122J/K*mol}})

0.0946 = (\frac{12 \cdot 122}{3.1416 \cdot 2 \cdot 15 \cdot 1.25}) \cdot (1 - e^{- \frac{0.095 \cdot 3.1416 \cdot 2 \cdot 1.25 \cdot 15}{12 \cdot 122}})

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Heat removal factor concentrating collector Solution

Follow our step by step solution on how to calculate Heat removal factor concentrating collector?

FIRST Step Consider the formula

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}})

Next Step Substitute values of Variables

∴

F R = (\frac{12kg/s \cdot 122J/K*mol}{π \cdot 2m \cdot 15m \cdot 1.25W/m²*K}) \cdot (1 - e^{- \frac{0.095 \cdot π \cdot 2m \cdot 1.25W/m²*K \cdot 15m}{12kg/s \cdot 122J/K*mol}})

Next Step Substitute values of Constants

∴

F R = (\frac{12kg/s \cdot 122J/K*mol}{3.1416 \cdot 2m \cdot 15m \cdot 1.25W/m²*K}) \cdot (1 - e^{- \frac{0.095 \cdot 3.1416 \cdot 2m \cdot 1.25W/m²*K \cdot 15m}{12kg/s \cdot 122J/K*mol}})

Next Step Prepare to Evaluate

∴

F R = (\frac{12 \cdot 122}{3.1416 \cdot 2 \cdot 15 \cdot 1.25}) \cdot (1 - e^{- \frac{0.095 \cdot 3.1416 \cdot 2 \cdot 1.25 \cdot 15}{12 \cdot 122}})

Next Step Evaluate

∴

F R = 0.0946377976268199

LAST Step Rounding Answer

∴

F R = 0.0946

Heat removal factor concentrating collector Formula Elements

Variables

Constants

Collector Heat Removal Factor

Collector heat removal factor is the ratio of the actual heat transfer to the maximum possible heat transfer through the collector plate.

Symbol: F_R

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Mass Flowrate

Mass flowrate is the mass moved in unit amount of time.

Symbol: m

Measurement: Mass Flow RateUnit: kg/s

Note: Value can be positive or negative.

Molar Specific Heat Capacity at Constant Pressure

Molar Specific Heat Capacity at Constant Pressure, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.

Symbol: C_{p molar}

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

Note: Value should be greater than 0.

Outer Diameter of Absorber Tube

Outer diameter of absorber tube is the measurement of the outside edges of the tube passing through its center.

Symbol: D_o

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Length of Concentrator

Length of concentrator is the length of concentrator from one end to other end.

Symbol: L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

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.

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.

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

Credits

Created by ADITYA RAWAT

DIT UNIVERSITY (DITU), Dehradun

ADITYA RAWAT has created this Formula and 50+ more formulas!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Formula and 2500+ more formulas!

Other Formulas to find Collector Heat Removal Factor

Go Heat removal factor in compound parabolic collector

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}})

Other formulas in Concentrating Collectors category

Go Maximum possible concentration ratio of 2-D concentrator

C m = \frac{1}{\sin (θ a)}

Go Maximum possible concentration ratio of 3-D concentrator

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

How to Evaluate Heat removal factor concentrating collector?

Heat removal factor concentrating collector evaluator uses 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))) to evaluate the Collector Heat Removal Factor, The Heat removal factor concentrating 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 concentrating collector using this online evaluator? To use this online evaluator for Heat removal factor concentrating collector, enter Mass Flowrate (m), Molar Specific Heat Capacity at Constant Pressure (C_{p molar}), Outer Diameter of Absorber Tube (D_o), Length of Concentrator (L), Overall Loss Coefficient (U_l) & Collector Efficiency Factor (F′) and hit the calculate button.

FAQs on Heat removal factor concentrating collector

What is the formula to find Heat removal factor concentrating collector?

The formula of Heat removal factor concentrating collector is expressed as 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))). Here is an example- 0.094638 = ((12*122)/(pi*2*15*1.25))*(1-e^(-(0.095*pi*2*1.25*15)/(12*122))).

How to calculate Heat removal factor concentrating collector?

With Mass Flowrate (m), Molar Specific Heat Capacity at Constant Pressure (C_{p molar}), Outer Diameter of Absorber Tube (D_o), Length of Concentrator (L), Overall Loss Coefficient (U_l) & Collector Efficiency Factor (F′) we can find Heat removal factor concentrating collector using the formula - 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))). This formula also uses Archimedes' constant .

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)/(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)))