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Collector efficiency factor Formula

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Collector Efficiency Factor is the ratio of the energy gained by the air to the energy received by the collector in a solar air heater system. Check FAQs

F′ = {(1 + \frac{U l}{h e})}^{- 1}

F′ - Collector Efficiency Factor?U_l - Overall Loss Coefficient?h_e - Effective Heat Transfer Coefficient?

Collector efficiency factor Example

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

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

Here is how the Collector efficiency factor equation looks like.

0.8107 = {(1 + \frac{1.25}{5.3527})}^{- 1}

0.8107 = {(1 + \frac{1.25W/m²*K}{5.3527W/m²*K})}^{- 1}

0.8107 = {(1 + \frac{1.25}{5.3527})}^{- 1}

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Collector efficiency factor Solution

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

FIRST Step Consider the formula

F′ = {(1 + \frac{U l}{h e})}^{- 1}

Next Step Substitute values of Variables

∴

F′ = {(1 + \frac{1.25W/m²*K}{5.3527W/m²*K})}^{- 1}

Next Step Prepare to Evaluate

∴

F′ = {(1 + \frac{1.25}{5.3527})}^{- 1}

Next Step Evaluate

∴

F′ = 0.810682963481047

LAST Step Rounding Answer

∴

F′ = 0.8107

Collector efficiency factor Formula Elements

Variables

Collector Efficiency Factor

Collector Efficiency Factor is the ratio of the energy gained by the air to the energy received by the collector in a solar air heater system.

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

Effective Heat Transfer Coefficient

Effective Heat Transfer Coefficient is the rate of heat transfer between the solar air heater and the surrounding air, affecting its overall performance.

Symbol: h_e

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value can be positive or negative.

Formulas to find Effective Heat Transfer Coefficient

Other formulas in Solar Air Heater category

Go Equivalent radiative heat transfer coefficient

h r = \frac{4 \cdot [Stefan-BoltZ] \cdot {(T pm + T bm)}^{3}}{(\frac{1}{ε p}) + (\frac{1}{ε b}) - 1 \cdot (8)}

Go Effective heat transfer coefficient

h e = h fp + \frac{h r \cdot h fb}{h r + h fb}

Go Effective heat transfer coefficient for variation

h e = h fp \cdot (1 + \frac{2 \cdot L f \cdot Φ f \cdot h ff}{W \cdot h fp}) + \frac{h r \cdot h fb}{h r + h fb}

Go Incident flux when flow is between Cover and Absorber plate

S flux = h fp \cdot (T pm - T fi) + (h r \cdot (T pm - T c)) + (U b \cdot (T pm - T a))

How to Evaluate Collector efficiency factor?

Collector efficiency factor evaluator uses Collector Efficiency Factor = (1+Overall Loss Coefficient/Effective Heat Transfer Coefficient)^-1 to evaluate the Collector Efficiency Factor, Collector efficiency factor formula is defined as a dimensionless quantity that characterizes the thermal performance of a solar air heater, representing the ratio of actual heat gain to the maximum possible heat gain, thereby indicating the effectiveness of the collector in harnessing solar energy. Collector Efficiency Factor is denoted by F′ symbol.

How to evaluate Collector efficiency factor using this online evaluator? To use this online evaluator for Collector efficiency factor, enter Overall Loss Coefficient (U_l) & Effective Heat Transfer Coefficient (h_e) and hit the calculate button.

FAQs on Collector efficiency factor

What is the formula to find Collector efficiency factor?

The formula of Collector efficiency factor is expressed as Collector Efficiency Factor = (1+Overall Loss Coefficient/Effective Heat Transfer Coefficient)^-1. Here is an example- 0.810683 = (1+1.25/5.352681)^-1.

How to calculate Collector efficiency factor?

With Overall Loss Coefficient (U_l) & Effective Heat Transfer Coefficient (h_e) we can find Collector efficiency factor using the formula - Collector Efficiency Factor = (1+Overall Loss Coefficient/Effective Heat Transfer Coefficient)^-1.

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