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Area of Aperture given Useful Heat Gain Calculator

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✖The Useful Heat Gain is the amount of thermal energy collected by a solar concentrating system, contributing to the efficiency of solar energy conversion.ⓘ Useful Heat Gain [q_u]			+10% -10%
✖The Flux Absorbed by Plate is the amount of solar energy captured by the plate of a concentrating collector, influencing its efficiency in converting sunlight to heat.ⓘ 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%
✖The Concentration Ratio is the measure of how much solar energy is concentrated by a solar collector compared to the energy received from the sun.ⓘ Concentration Ratio [C]			+10% -10%
✖The Average Temperature of Absorber Plate is the mean temperature of the surface that collects solar energy in concentrating solar collectors, influencing efficiency and performance.ⓘ Average Temperature of Absorber Plate [T_pm]			+10% -10%
✖The Ambient Air Temperature is the measure of the air temperature surrounding a solar energy system, influencing its efficiency and performance.ⓘ Ambient Air Temperature [T_a]			+10% -10%

✖The Effective Area of Aperture is the area through which solar energy is collected by a concentrating collector, influencing its efficiency in harnessing sunlight.ⓘ 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) - The Effective Area of Aperture is the area through which solar energy is collected by a concentrating collector, influencing its efficiency in harnessing sunlight.
Useful Heat Gain - (Measured in Watt) - The Useful Heat Gain is the amount of thermal energy collected by a solar concentrating system, contributing to the efficiency of solar energy conversion.
Flux Absorbed by Plate - (Measured in Watt per Square Meter) - The Flux Absorbed by Plate is the amount of solar energy captured by the plate of a concentrating collector, influencing its efficiency in converting sunlight to heat.
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 - The Concentration Ratio is the measure of how much solar energy is concentrated by a solar collector compared to the energy received from the sun.
Average Temperature of Absorber Plate - (Measured in Kelvin) - The Average Temperature of Absorber Plate is the mean temperature of the surface that collects solar energy in concentrating solar collectors, influencing efficiency and performance.
Ambient Air Temperature - (Measured in Kelvin) - The Ambient Air Temperature is the measure of the air temperature surrounding a solar energy system, influencing its efficiency and performance.

STEP 1: Convert Input(s) to Base Unit

Useful Heat Gain: 3700 Watt --> 3700 Watt No Conversion Required
Flux Absorbed by Plate: 98.00438 Joule per Second per Square Meter --> 98.00438 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/(98.00438-(1.25/0.8)*(310-300))

Evaluating ... ...

A_a = 44.9141520608677

STEP 3: Convert Result to Output's Unit

44.9141520608677 Square Meter --> No Conversion Required

FINAL ANSWER

44.9141520608677 ≈ 44.91415 Square Meter <-- Effective Area of Aperture

(Calculation completed in 00.004 seconds)

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Area of Aperture given Useful Heat Gain Formula

LaTeX Go

What is Heat Gain?

Heat gain refers to the increase in thermal energy of a system or space due to external or internal sources. It can result from factors like solar radiation, heat from appliances, or warm air infiltration. Managing heat gain is essential in designing energy-efficient buildings, cooling systems, and thermal management solutions to maintain desired temperatures and reduce energy consumption.

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 -> 44.91415 = 3700/(98.00438-(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)). The Useful Heat Gain is the amount of thermal energy collected by a solar concentrating system, contributing to the efficiency of solar energy conversion, The Flux Absorbed by Plate is the amount of solar energy captured by the plate of a concentrating collector, influencing its efficiency in converting sunlight to heat, 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, The Concentration Ratio is the measure of how much solar energy is concentrated by a solar collector compared to the energy received from the sun, The Average Temperature of Absorber Plate is the mean temperature of the surface that collects solar energy in concentrating solar collectors, influencing efficiency and performance & The Ambient Air Temperature is the measure of the air temperature surrounding a solar energy system, influencing its efficiency and performance.

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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