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Useful heat gain in compound parabolic collector Calculator

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✖The Collector Heat Removal Factor is a measure of the efficiency of a solar collector in transferring heat to the working fluid under specific operating conditions.ⓘ Collector Heat Removal Factor [F_R]			+10% -10%
✖The Concentrator Aperture is the opening through which sunlight enters a solar concentrator, playing a crucial role in capturing and directing solar energy for conversion.ⓘ Concentrator Aperture [W]			+10% -10%
✖The Length of Concentrator is the measurement of the physical extent of a solar concentrator, which focuses sunlight onto a receiver for energy conversion.ⓘ Length of Concentrator [L]			+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 Inlet fluid Temperature Flat Plate Collector is the temperature of the fluid entering the flat plate collector, crucial for assessing the collector's efficiency in solar energy systems.ⓘ Inlet fluid Temperature Flat Plate Collector [T_fi]			+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 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 in compound parabolic collector [q_u]

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Useful heat gain in compound parabolic collector Solution

STEP 0: Pre-Calculation Summary

Formula Used

Useful Heat Gain = Collector Heat Removal Factor*Concentrator Aperture*Length of Concentrator*(Flux Absorbed by Plate-((Overall Loss Coefficient/Concentration Ratio)*(Inlet fluid Temperature Flat Plate Collector-Ambient Air Temperature)))
q_u = F_R*W*L*(S_flux-((U_l/C)*(T_fi-T_a)))
This formula uses 9 Variables

Variables Used

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.
Collector Heat Removal Factor - The Collector Heat Removal Factor is a measure of the efficiency of a solar collector in transferring heat to the working fluid under specific operating conditions.
Concentrator Aperture - (Measured in Meter) - The Concentrator Aperture is the opening through which sunlight enters a solar concentrator, playing a crucial role in capturing and directing solar energy for conversion.
Length of Concentrator - (Measured in Meter) - The Length of Concentrator is the measurement of the physical extent of a solar concentrator, which focuses sunlight onto a receiver for 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.
Inlet fluid Temperature Flat Plate Collector - (Measured in Kelvin) - The Inlet fluid Temperature Flat Plate Collector is the temperature of the fluid entering the flat plate collector, crucial for assessing the collector's efficiency in solar energy systems.
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

Collector Heat Removal Factor: 0.094639 --> No Conversion Required
Concentrator Aperture: 7 Meter --> 7 Meter No Conversion Required
Length of Concentrator: 15 Meter --> 15 Meter 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
Inlet fluid Temperature Flat Plate Collector: 124.424 Kelvin --> 124.424 Kelvin No Conversion Required
Ambient Air Temperature: 300 Kelvin --> 300 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q_u = F_R*W*L*(S_flux-((U_l/C)*(T_fi-T_a))) --> 0.094639*7*15*(98.00438-((1.25/0.8)*(124.424-300)))

Evaluating ... ...

q_u = 3699.9966340386

STEP 3: Convert Result to Output's Unit

3699.9966340386 Watt --> No Conversion Required

FINAL ANSWER

3699.9966340386 ≈ 3699.997 Watt <-- Useful Heat Gain

(Calculation completed in 00.004 seconds)

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< Concentrating Collectors Calculators

Inclination of reflectors

LaTeX Go Inclination of Reflector = (pi-Tilt Angle-2*Latitude Angle+2*Declination Angle)/3

Useful heat gain in concentrating collector

LaTeX Go Useful Heat Gain = Effective Area of Aperture*Solar Beam Radiation-Heat Loss from Collector

Maximum possible concentration ratio of 3-D concentrator

LaTeX Go Maximum Concentration Ratio = 2/(1-cos(2*Acceptance Angle for 3D))

Maximum possible concentration ratio of 2-D concentrator

LaTeX Go Maximum Concentration Ratio = 1/sin(Acceptance Angle for 2D)

Useful heat gain in compound parabolic collector Formula

LaTeX Go

How do we get useful Heat Gain?

Useful heat gain is obtained by maximizing the energy absorbed by a system while minimizing heat losses. This involves optimizing the design of the collector to effectively capture solar energy, using materials with high thermal conductivity, and reducing losses through insulation and proper orientation. Ensuring efficient heat transfer to the working fluid also contributes to achieving maximum useful heat gain in thermal systems.

How to Calculate Useful heat gain in compound parabolic collector?

Useful heat gain in compound parabolic collector calculator uses Useful Heat Gain = Collector Heat Removal Factor*Concentrator Aperture*Length of Concentrator*(Flux Absorbed by Plate-((Overall Loss Coefficient/Concentration Ratio)*(Inlet fluid Temperature Flat Plate Collector-Ambient Air Temperature))) to calculate the Useful Heat Gain, The Useful heat gain in compound parabolic collector formula is defined as the amount of heat absorbed from the incident radiation from the sun which has further applications. Useful Heat Gain is denoted by q_u symbol.

How to calculate Useful heat gain in compound parabolic collector using this online calculator? To use this online calculator for Useful heat gain in compound parabolic collector, enter Collector Heat Removal Factor (F_R), Concentrator Aperture (W), Length of Concentrator (L), Flux Absorbed by Plate (S_flux), Overall Loss Coefficient (U_l), Concentration Ratio (C), Inlet fluid Temperature Flat Plate Collector (T_fi) & Ambient Air Temperature (T_a) and hit the calculate button. Here is how the Useful heat gain in compound parabolic collector calculation can be explained with given input values -> 5476.625 = 0.094639*7*15*(98.00438-((1.25/0.8)*(124.424-300))).

FAQ

What is Useful heat gain in compound parabolic collector?

The Useful heat gain in compound parabolic collector formula is defined as the amount of heat absorbed from the incident radiation from the sun which has further applications and is represented as q_u = F_R*W*L*(S_flux-((U_l/C)*(T_fi-T_a))) or Useful Heat Gain = Collector Heat Removal Factor*Concentrator Aperture*Length of Concentrator*(Flux Absorbed by Plate-((Overall Loss Coefficient/Concentration Ratio)*(Inlet fluid Temperature Flat Plate Collector-Ambient Air Temperature))). The Collector Heat Removal Factor is a measure of the efficiency of a solar collector in transferring heat to the working fluid under specific operating conditions, The Concentrator Aperture is the opening through which sunlight enters a solar concentrator, playing a crucial role in capturing and directing solar energy for conversion, The Length of Concentrator is the measurement of the physical extent of a solar concentrator, which focuses sunlight onto a receiver for 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 Inlet fluid Temperature Flat Plate Collector is the temperature of the fluid entering the flat plate collector, crucial for assessing the collector's efficiency in solar energy systems & The Ambient Air Temperature is the measure of the air temperature surrounding a solar energy system, influencing its efficiency and performance.

How to calculate Useful heat gain in compound parabolic collector?

The Useful heat gain in compound parabolic collector formula is defined as the amount of heat absorbed from the incident radiation from the sun which has further applications is calculated using Useful Heat Gain = Collector Heat Removal Factor*Concentrator Aperture*Length of Concentrator*(Flux Absorbed by Plate-((Overall Loss Coefficient/Concentration Ratio)*(Inlet fluid Temperature Flat Plate Collector-Ambient Air Temperature))). To calculate Useful heat gain in compound parabolic collector, you need Collector Heat Removal Factor (F_R), Concentrator Aperture (W), Length of Concentrator (L), Flux Absorbed by Plate (S_flux), Overall Loss Coefficient (U_l), Concentration Ratio (C), Inlet fluid Temperature Flat Plate Collector (T_fi) & Ambient Air Temperature (T_a). With our tool, you need to enter the respective value for Collector Heat Removal Factor, Concentrator Aperture, Length of Concentrator, Flux Absorbed by Plate, Overall Loss Coefficient, Concentration Ratio, Inlet fluid Temperature Flat Plate Collector & Ambient Air Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Useful Heat Gain?

In this formula, Useful Heat Gain uses Collector Heat Removal Factor, Concentrator Aperture, Length of Concentrator, Flux Absorbed by Plate, Overall Loss Coefficient, Concentration Ratio, Inlet fluid Temperature Flat Plate Collector & Ambient Air Temperature. We can use 3 other way(s) to calculate the same, which is/are as follows -

Useful Heat Gain = Effective Area of Aperture*Solar Beam Radiation-Heat Loss from Collector
Useful Heat Gain = Collector Heat Removal Factor*(Concentrator Aperture-Outer Diameter of Absorber Tube)*Length of Concentrator*(Flux Absorbed by Plate-(Overall Loss Coefficient/Concentration Ratio)*(Inlet fluid Temperature Flat Plate Collector-Ambient Air Temperature))
Useful Heat Gain = Instantaneous Collection Efficiency*(Hourly Beam Component*Tilt Factor for Beam Radiation+Hourly Diffuse Component*Tilt factor for Diffused Radiation)*Concentrator Aperture*Length of Concentrator

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