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Useful heat gain in compound parabolic collector Formula

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GoUseful heat gain rate in concentrating collector when concentration ratio is present Formula

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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. Check FAQs

q u = F R \cdot W \cdot L \cdot (S flux - ((\frac{U l}{C}) \cdot (T fi - T a)))

q_u - Useful Heat Gain?F_R - Collector Heat Removal Factor?W - Concentrator Aperture?L - Length of Concentrator?S_flux - Flux Absorbed by Plate?U_l - Overall Loss Coefficient?C - Concentration Ratio?T_fi - Inlet fluid Temperature Flat Plate Collector?T_a - Ambient Air Temperature?

Useful heat gain in compound parabolic collector Example

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Here is how the Useful heat gain in compound parabolic collector equation looks like with Values.

Here is how the Useful heat gain in compound parabolic collector equation looks like with Units.

Here is how the Useful heat gain in compound parabolic collector equation looks like.

3699.9966 = 0.0946 \cdot 7 \cdot 15 \cdot (98.0044 - ((\frac{1.25}{0.8}) \cdot (124.424 - 300)))

3699.9966W = 0.0946 \cdot 7m \cdot 15m \cdot (98.0044J/sm² - ((\frac{1.25W/m²*K}{0.8}) \cdot (124.424K - 300K)))

3699.9966 = 0.0946 \cdot 7 \cdot 15 \cdot (98.0044 - ((\frac{1.25}{0.8}) \cdot (124.424 - 300)))

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Useful heat gain in compound parabolic collector Solution

Follow our step by step solution on how to calculate Useful heat gain in compound parabolic collector?

FIRST Step Consider the formula

q u = F R \cdot W \cdot L \cdot (S flux - ((\frac{U l}{C}) \cdot (T fi - T a)))

Next Step Substitute values of Variables

∴

q u = 0.0946 \cdot 7m \cdot 15m \cdot (98.0044J/sm² - ((\frac{1.25W/m²*K}{0.8}) \cdot (124.424K - 300K)))

Next Step Convert Units

∴

q u = 0.0946 \cdot 7m \cdot 15m \cdot (98.0044W/m² - ((\frac{1.25W/m²*K}{0.8}) \cdot (124.424K - 300K)))

Next Step Prepare to Evaluate

∴

q u = 0.0946 \cdot 7 \cdot 15 \cdot (98.0044 - ((\frac{1.25}{0.8}) \cdot (124.424 - 300)))

Next Step Evaluate

∴

q u = 3699.9966340386W

LAST Step Rounding Answer

∴

q u = 3699.9966W

Useful heat gain in compound parabolic collector Formula Elements

Variables

Useful Heat Gain

The Useful Heat Gain is the amount of thermal energy collected by a solar concentrating system, contributing to the efficiency of solar energy conversion.

Symbol: q_u

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Useful Heat Gain

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.

Symbol: F_R

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Collector Heat Removal Factor

Concentrator Aperture

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.

Symbol: W

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Concentrator Aperture

Length of Concentrator

The Length of Concentrator is the measurement of the physical extent of a solar concentrator, which focuses sunlight onto a receiver for energy conversion.

Symbol: L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Concentrator

Flux Absorbed by Plate

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.

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

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.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Concentration Ratio

Inlet fluid Temperature Flat Plate Collector

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.

Symbol: T_fi

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Inlet fluid Temperature Flat Plate Collector

Ambient Air Temperature

The Ambient Air Temperature is the measure of the air temperature surrounding a solar energy system, influencing its efficiency and performance.

Symbol: T_a

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Ambient Air Temperature

Other Formulas to find Useful Heat Gain

Go Useful heat gain in concentrating collector

q u = A a \cdot S - q l

Go Useful heat gain rate in concentrating collector when concentration ratio is present

q u = F R \cdot (W - D o) \cdot L \cdot (S flux - (\frac{U l}{C}) \cdot (T fi - T a))

Other formulas in Concentrating Collectors category

Go Maximum possible concentration ratio of 2-D concentrator

C m = \frac{1}{\sin (θ a 3d)}

Go Maximum possible concentration ratio of 3-D concentrator

C m = \frac{2}{1 - \cos (2 \cdot θ a 3d)}

How to Evaluate Useful heat gain in compound parabolic collector?

Useful heat gain in compound parabolic collector evaluator 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 evaluate 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 evaluate Useful heat gain in compound parabolic collector using this online evaluator? To use this online evaluator 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.

FAQs on Useful heat gain in compound parabolic collector

What is the formula to find Useful heat gain in compound parabolic collector?

The formula of Useful heat gain in compound parabolic collector is expressed as 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))). Here is an example- 5476.625 = 0.094639*7*15*(98.00438-((1.25/0.8)*(124.424-300))).

How to calculate Useful heat gain in compound parabolic collector?

With 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) we can find Useful heat gain in compound parabolic collector using the formula - 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))).

What are the other ways to Calculate Useful Heat Gain?

Here are the different ways to Calculate Useful Heat Gain-

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

Can the Useful heat gain in compound parabolic collector be negative?

Yes, the Useful heat gain in compound parabolic collector, measured in Power can be negative.

Which unit is used to measure Useful heat gain in compound parabolic collector?

Useful heat gain in compound parabolic collector is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Useful heat gain in compound parabolic collector can be measured.

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Useful heat gain in compound parabolic collector Formula

​GoUseful heat gain in concentrating collector Formula

​GoUseful heat gain rate in concentrating collector when concentration ratio is present Formula

Useful heat gain in compound parabolic collector Example

Useful heat gain in compound parabolic collector Solution

Useful heat gain in compound parabolic collector Formula Elements

Other Formulas to find Useful Heat Gain

Other formulas in Concentrating Collectors category

How to Evaluate Useful heat gain in compound parabolic collector?

FAQs on Useful heat gain in compound parabolic collector

Variable Name

GoUseful heat gain in concentrating collector Formula

GoUseful heat gain rate in concentrating collector when concentration ratio is present Formula