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Area of Aperture given Useful Heat Gain Calculator

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✖Useful heat gain is defined as the rate of heat transfer to the working fluid.ⓘ Useful Heat Gain [q_u]			+10% -10%
✖Flux absorbed by plate is defined as the incident solar flux absorbed in the absorber plate.ⓘ Flux Absorbed by Plate [S_flux]			+10% -10%
✖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.ⓘ Overall Loss Coefficient [U_l]			+10% -10%
✖Concentration ratio is defined as the ratio of the effective area of aperture to the surface area of the absorber.ⓘ Concentration Ratio [C]			+10% -10%
✖Average temperature of absorber plate is defined as the temperature spread across the surface area of the absorber plate.ⓘ Average Temperature of Absorber Plate [T_pm]			+10% -10%
✖Ambient Air Temperature is the temperature of the surrounding medium.ⓘ Ambient Air Temperature [T_a]			+10% -10%

✖Effective area of aperture is defined as total area of aperture exposed to the incident radiation.ⓘ Area of Aperture given Useful Heat Gain [A_a]

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Area of Aperture given Useful Heat Gain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Area of Aperture = Useful Heat Gain/(Flux Absorbed by Plate-(Overall Loss Coefficient/Concentration Ratio)*(Average Temperature of Absorber Plate-Ambient Air Temperature))
A_a = q_u/(S_flux-(U_l/C)*(T_pm-T_a))
This formula uses 7 Variables

Variables Used

Effective Area of Aperture - (Measured in Square Meter) - Effective area of aperture is defined as total area of aperture exposed to the incident radiation.
Useful Heat Gain - (Measured in Watt) - Useful heat gain is defined as the rate of heat transfer to the working fluid.
Flux Absorbed by Plate - (Measured in Watt per Square Meter) - Flux absorbed by plate is defined as the incident solar flux absorbed in the absorber plate.
Overall Loss Coefficient - (Measured in Watt per Square Meter per Kelvin) - 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.
Concentration Ratio - Concentration ratio is defined as the ratio of the effective area of aperture to the surface area of the absorber.
Average Temperature of Absorber Plate - (Measured in Kelvin) - Average temperature of absorber plate is defined as the temperature spread across the surface area of the absorber plate.
Ambient Air Temperature - (Measured in Kelvin) - Ambient Air Temperature is the temperature of the surrounding medium.

STEP 1: Convert Input(s) to Base Unit

Useful Heat Gain: 3700 Watt --> 3700 Watt No Conversion Required
Flux Absorbed by Plate: 98 Joule per Second per Square Meter --> 98 Watt per Square Meter (Check conversion here)
Overall Loss Coefficient: 1.25 Watt per Square Meter per Kelvin --> 1.25 Watt per Square Meter per Kelvin No Conversion Required
Concentration Ratio: 0.8 --> No Conversion Required
Average Temperature of Absorber Plate: 310 Kelvin --> 310 Kelvin No Conversion Required
Ambient Air Temperature: 300 Kelvin --> 300 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_a = q_u/(S_flux-(U_l/C)*(T_pm-T_a)) --> 3700/(98-(1.25/0.8)*(310-300))

Evaluating ... ...

A_a = 44.9165402124431

STEP 3: Convert Result to Output's Unit

44.9165402124431 Square Meter --> No Conversion Required

FINAL ANSWER

44.9165402124431 ≈ 44.91654 Square Meter <-- Effective Area of Aperture

(Calculation completed in 00.021 seconds)

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Area of Aperture given Useful Heat Gain Formula

LaTeX Go

How do we get useful heat gain?

Useful heat gain is nothing but the difference between the incident (absorbed) radiation and the heat lost due to convection, re-radiation, and conduction.

How to Calculate Area of Aperture given Useful Heat Gain?

Area of Aperture given Useful Heat Gain calculator 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 calculate 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 calculate Area of Aperture given Useful Heat Gain using this online calculator? To use this online calculator 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. Here is how the Area of Aperture given Useful Heat Gain calculation can be explained with given input values -> 44.91654 = 3700/(98-(1.25/0.8)*(310-300)).

FAQ

What is Area of Aperture given Useful Heat Gain?

The Area of Aperture given Useful Heat Gain formula is defined as the total area of aperture exposed to the incident radiation and is represented as A_a = q_u/(S_flux-(U_l/C)*(T_pm-T_a)) or Effective Area of Aperture = Useful Heat Gain/(Flux Absorbed by Plate-(Overall Loss Coefficient/Concentration Ratio)*(Average Temperature of Absorber Plate-Ambient Air Temperature)). Useful heat gain is defined as the rate of heat transfer to the working fluid, Flux absorbed by plate is defined as the incident solar flux absorbed in the absorber plate, 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, Concentration ratio is defined as the ratio of the effective area of aperture to the surface area of the absorber, Average temperature of absorber plate is defined as the temperature spread across the surface area of the absorber plate & Ambient Air Temperature is the temperature of the surrounding medium.

How to calculate Area of Aperture given Useful Heat Gain?

The Area of Aperture given Useful Heat Gain formula is defined as the total area of aperture exposed to the incident radiation is calculated using 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 calculate Area of Aperture given Useful Heat Gain, you need 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). With our tool, you need to enter the respective value for Useful Heat Gain, Flux Absorbed by Plate, Overall Loss Coefficient, Concentration Ratio, Average Temperature of Absorber Plate & Ambient Air Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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