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Area of Aperture given Useful Heat Gain Formula

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Effective area of aperture is defined as total area of aperture exposed to the incident radiation. Check FAQs

A a = \frac{q u}{S flux - (\frac{U l}{C}) \cdot (T pm - T a)}

A_a - Effective Area of Aperture?q_u - Useful Heat Gain?S_flux - Flux Absorbed by Plate?U_l - Overall Loss Coefficient?C - Concentration Ratio?T_pm - Average Temperature of Absorber Plate?T_a - Ambient Air Temperature?

Area of Aperture given Useful Heat Gain Example

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Here is how the Area of Aperture given Useful Heat Gain equation looks like with Values.

Here is how the Area of Aperture given Useful Heat Gain equation looks like with Units.

Here is how the Area of Aperture given Useful Heat Gain equation looks like.

44.9165 = \frac{3700}{98 - (\frac{1.25}{0.8}) \cdot (310 - 300)}

44.9165m² = \frac{3700W}{98J/sm² - (\frac{1.25W/m²*K}{0.8}) \cdot (310K - 300K)}

44.9165 = \frac{3700}{98 - (\frac{1.25}{0.8}) \cdot (310 - 300)}

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Area of Aperture given Useful Heat Gain Solution

Follow our step by step solution on how to calculate Area of Aperture given Useful Heat Gain?

FIRST Step Consider the formula

A a = \frac{q u}{S flux - (\frac{U l}{C}) \cdot (T pm - T a)}

Next Step Substitute values of Variables

∴

A a = \frac{3700W}{98J/sm² - (\frac{1.25W/m²*K}{0.8}) \cdot (310K - 300K)}

Next Step Convert Units

∴

A a = \frac{3700W}{98W/m² - (\frac{1.25W/m²*K}{0.8}) \cdot (310K - 300K)}

Next Step Prepare to Evaluate

∴

A a = \frac{3700}{98 - (\frac{1.25}{0.8}) \cdot (310 - 300)}

Next Step Evaluate

∴

A a = 44.9165402124431m²

LAST Step Rounding Answer

∴

A a = 44.9165m²

Area of Aperture given Useful Heat Gain Formula Elements

Variables

Effective Area of Aperture

Effective area of aperture is defined as total area of aperture exposed to the incident radiation.

Symbol: A_a

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Effective Area of Aperture

Useful Heat Gain

Useful heat gain is defined as the rate of heat transfer to the working fluid.

Symbol: q_u

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Useful Heat Gain

Flux Absorbed by Plate

Flux absorbed by plate is defined as the incident solar flux absorbed in the absorber plate.

Symbol: S_flux

Measurement: Heat Flux DensityUnit: J/sm²

Note: Value can be positive or negative.

Formulas to find Flux Absorbed by Plate

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

Concentration Ratio

Concentration ratio is defined as the ratio of the effective area of aperture to the surface area of the absorber.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Concentration Ratio

Average Temperature of Absorber Plate

Average temperature of absorber plate is defined as the temperature spread across the surface area of the absorber plate.

Symbol: T_pm

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Average Temperature of Absorber Plate

Ambient Air Temperature

Ambient Air Temperature is the temperature of the surrounding medium.

Symbol: T_a

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Ambient Air Temperature

Other formulas in Concentrating Collectors category

Go Maximum possible concentration ratio of 2-D concentrator

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Go Maximum possible concentration ratio of 3-D concentrator

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

How to Evaluate Area of Aperture given Useful Heat Gain?

Area of Aperture given Useful Heat Gain evaluator uses Effective Area of Aperture = Useful Heat Gain/(Flux Absorbed by Plate-(Overall Loss Coefficient/Concentration Ratio)*(Average Temperature of Absorber Plate-Ambient Air Temperature)) to evaluate the Effective Area of Aperture, The Area of Aperture given Useful Heat Gain formula is defined as the total area of aperture exposed to the incident radiation. Effective Area of Aperture is denoted by A_a symbol.

How to evaluate Area of Aperture given Useful Heat Gain using this online evaluator? To use this online evaluator for Area of Aperture given Useful Heat Gain, enter Useful Heat Gain (q_u), Flux Absorbed by Plate (S_flux), Overall Loss Coefficient (U_l), Concentration Ratio (C), Average Temperature of Absorber Plate (T_pm) & Ambient Air Temperature (T_a) and hit the calculate button.

FAQs on Area of Aperture given Useful Heat Gain

What is the formula to find Area of Aperture given Useful Heat Gain?

The formula of Area of Aperture given Useful Heat Gain is expressed as Effective Area of Aperture = Useful Heat Gain/(Flux Absorbed by Plate-(Overall Loss Coefficient/Concentration Ratio)*(Average Temperature of Absorber Plate-Ambient Air Temperature)). Here is an example- 44.91654 = 3700/(98-(1.25/0.8)*(310-300)).

How to calculate Area of Aperture given Useful Heat Gain?

With Useful Heat Gain (q_u), Flux Absorbed by Plate (S_flux), Overall Loss Coefficient (U_l), Concentration Ratio (C), Average Temperature of Absorber Plate (T_pm) & Ambient Air Temperature (T_a) we can find Area of Aperture given Useful Heat Gain using the formula - Effective Area of Aperture = Useful Heat Gain/(Flux Absorbed by Plate-(Overall Loss Coefficient/Concentration Ratio)*(Average Temperature of Absorber Plate-Ambient Air Temperature)).

Can the Area of Aperture given Useful Heat Gain be negative?

No, the Area of Aperture given Useful Heat Gain, measured in Area cannot be negative.

Which unit is used to measure Area of Aperture given Useful Heat Gain?

Area of Aperture given Useful Heat Gain is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Aperture given Useful Heat Gain can be measured.

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Area of Aperture given Useful Heat Gain Formula

Area of Aperture given Useful Heat Gain Example

Area of Aperture given Useful Heat Gain Solution

Area of Aperture given Useful Heat Gain Formula Elements

Other formulas in Concentrating Collectors category

How to Evaluate Area of Aperture given Useful Heat Gain?

FAQs on Area of Aperture given Useful Heat Gain

Variable Name