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Collector heat removal factor 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}{U l \cdot A c} \cdot (1 - e^{- \frac{F′ \cdot U l \cdot A c}{m \cdot C p}})

F_R - Collector Heat Removal Factor?m - Mass Flow Rate?C_p - Specific Heat Capacity at Constant Pressure?U_l - Overall Loss Coefficient?A_c - Gross Collector Area?F′ - Collector Efficiency Factor?

Collector heat removal factor Example

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Here is how the Collector heat removal factor equation looks like with Values.

Here is how the Collector heat removal factor equation looks like with Units.

Here is how the Collector heat removal factor equation looks like.

0.1 = \frac{0.0015 \cdot 1.005}{1.25 \cdot 11} \cdot (1 - e^{- \frac{0.3 \cdot 1.25 \cdot 11}{0.0015 \cdot 1.005}})

0.1 = \frac{0.0015kg/s \cdot 1.005kJ/kg*K}{1.25W/m²*K \cdot 11m²} \cdot (1 - e^{- \frac{0.3 \cdot 1.25W/m²*K \cdot 11m²}{0.0015kg/s \cdot 1.005kJ/kg*K}})

0.1 = \frac{0.0015 \cdot 1.005}{1.25 \cdot 11} \cdot (1 - e^{- \frac{0.3 \cdot 1.25 \cdot 11}{0.0015 \cdot 1.005}})

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Collector heat removal factor Solution

Follow our step by step solution on how to calculate Collector heat removal factor?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F R = \frac{0.0015kg/s \cdot 1.005kJ/kg*K}{1.25W/m²*K \cdot 11m²} \cdot (1 - e^{- \frac{0.3 \cdot 1.25W/m²*K \cdot 11m²}{0.0015kg/s \cdot 1.005kJ/kg*K}})

Next Step Convert Units

∴

F R = \frac{0.0015kg/s \cdot 1005J/(kg*K)}{1.25W/m²*K \cdot 11m²} \cdot (1 - e^{- \frac{0.3 \cdot 1.25W/m²*K \cdot 11m²}{0.0015kg/s \cdot 1005J/(kg*K)}})

Next Step Prepare to Evaluate

∴

F R = \frac{0.0015 \cdot 1005}{1.25 \cdot 11} \cdot (1 - e^{- \frac{0.3 \cdot 1.25 \cdot 11}{0.0015 \cdot 1005}})

Next Step Evaluate

∴

F R = 0.100000226442815

LAST Step Rounding Answer

∴

F R = 0.1

Collector heat removal factor 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: F_R

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Collector Heat Removal Factor

Mass Flow Rate

Mass flow rate is the mass of a substance that passes per unit of time. Its unit is kilogram per second in SI units.

Symbol: m

Measurement: Mass Flow RateUnit: kg/s

Note: Value should be greater than 0.

Formulas to find Mass Flow Rate

Specific Heat Capacity at Constant Pressure

Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.

Symbol: C_p

Measurement: Specific Heat CapacityUnit: kJ/kg*K

Note: Value can be positive or negative.

Formulas to find Specific Heat Capacity at Constant Pressure

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

Gross Collector Area

Gross collector area is the area of the topmost cover including the frame.

Symbol: A_c

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Gross Collector Area

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

Other formulas in Liquid Flat Plate Collectors category

Go Useful heat gain

q u = A p \cdot S flux - q l

Go Instantaneous collection efficiency

η i = \frac{q u}{A c \cdot I T}

Go Transmissivity Absorptivity product

τα = τ \cdot \frac{α}{1 - (1 - α) \cdot ρ d}

Go Heat loss from collector

q l = U l \cdot A p \cdot (T pm - T a)

How to Evaluate Collector heat removal factor?

Collector heat removal factor evaluator uses Collector Heat Removal Factor = (Mass Flow Rate*Specific Heat Capacity at Constant Pressure)/(Overall Loss Coefficient*Gross Collector Area)*(1-e^(-(Collector Efficiency Factor*Overall Loss Coefficient*Gross Collector Area)/(Mass Flow Rate*Specific Heat Capacity at Constant Pressure))) to evaluate the Collector Heat Removal Factor, The Collector heat removal factor 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 Collector heat removal factor using this online evaluator? To use this online evaluator for Collector heat removal factor, enter Mass Flow Rate (m), Specific Heat Capacity at Constant Pressure (C_p), Overall Loss Coefficient (U_l), Gross Collector Area (A_c) & Collector Efficiency Factor (F′) and hit the calculate button.

FAQs on Collector heat removal factor

What is the formula to find Collector heat removal factor?

The formula of Collector heat removal factor is expressed as Collector Heat Removal Factor = (Mass Flow Rate*Specific Heat Capacity at Constant Pressure)/(Overall Loss Coefficient*Gross Collector Area)*(1-e^(-(Collector Efficiency Factor*Overall Loss Coefficient*Gross Collector Area)/(Mass Flow Rate*Specific Heat Capacity at Constant Pressure))). Here is an example- 0.299441 = (0.00145475*1005)/(1.25*11)*(1-e^(-(0.3*1.25*11)/(0.00145475*1005))).

How to calculate Collector heat removal factor?

With Mass Flow Rate (m), Specific Heat Capacity at Constant Pressure (C_p), Overall Loss Coefficient (U_l), Gross Collector Area (A_c) & Collector Efficiency Factor (F′) we can find Collector heat removal factor using the formula - Collector Heat Removal Factor = (Mass Flow Rate*Specific Heat Capacity at Constant Pressure)/(Overall Loss Coefficient*Gross Collector Area)*(1-e^(-(Collector Efficiency Factor*Overall Loss Coefficient*Gross Collector Area)/(Mass Flow Rate*Specific Heat Capacity at Constant Pressure))).

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Collector heat removal factor Formula

Collector heat removal factor Example

Collector heat removal factor Solution

Collector heat removal factor Formula Elements

Other formulas in Liquid Flat Plate Collectors category

How to Evaluate Collector heat removal factor?

FAQs on Collector heat removal factor

Variable Name