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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
FR=(mCp molarbUlL)(1-e-F′bUlLmCp molar)
FR - Collector Heat Removal Factor?m - Mass Flowrate?Cp molar - Molar Specific Heat Capacity at Constant Pressure?b - Absorber Surface Width?Ul - Overall Loss Coefficient?L - Length of Concentrator?F′ - Collector Efficiency Factor?

Heat removal factor in compound parabolic collector Example

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With units
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Here is how the Heat removal factor in compound parabolic collector equation looks like with Values.

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

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

0.0931Edit=(12Edit122Edit33Edit1.25Edit15Edit)(1-e-0.095Edit33Edit1.25Edit15Edit12Edit122Edit)
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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
FR=(mCp molarbUlL)(1-e-F′bUlLmCp molar)
Next Step Substitute values of Variables
FR=(12kg/s122J/K*mol33m1.25W/m²*K15m)(1-e-0.09533m1.25W/m²*K15m12kg/s122J/K*mol)
Next Step Prepare to Evaluate
FR=(12122331.2515)(1-e-0.095331.251512122)
Next Step Evaluate
FR=0.0931180924158863
LAST Step Rounding Answer
FR=0.0931

Heat removal factor in compound parabolic collector Formula Elements

Variables
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: FR
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: Cp molar
Measurement: Molar Specific Heat Capacity at Constant PressureUnit: J/K*mol
Note: Value should be greater than 0.
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.
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: Ul
Measurement: Heat Transfer CoefficientUnit: W/m²*K
Note: Value should be greater than 0.
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.
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.

Other Formulas to find Collector Heat Removal Factor

​Go Heat removal factor concentrating collector
FR=(mCp molarπDoLUl)(1-e-F′πDoUlLmCp molar)

Other formulas in Concentrating Collectors category

​Go Maximum possible concentration ratio of 2-D concentrator
Cm=1sin(θa)
​Go Maximum possible concentration ratio of 3-D concentrator
Cm=21-cos(2θa)

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 FR 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 (Cp molar), Absorber Surface Width (b), Overall Loss Coefficient (Ul), 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- 0.093118 = ((12*122)/(33*1.25*15))*(1-e^(-(0.095*33*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 (Cp molar), Absorber Surface Width (b), Overall Loss Coefficient (Ul), 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)))OpenImg
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