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

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GoUseful heat gain when collection efficiency is present Formula

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

q u = F R \cdot (W - D o) \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?D_o - Outer Diameter of Absorber Tube?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 rate in concentrating collector when concentration ratio is present Example

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Here is how the Useful heat gain rate in concentrating collector when concentration ratio is present equation looks like with Values.

Here is how the Useful heat gain rate in concentrating collector when concentration ratio is present equation looks like with Units.

Here is how the Useful heat gain rate in concentrating collector when concentration ratio is present equation looks like.

3844.0969 = 0.093 \cdot (7 - 2) \cdot 15 \cdot (98 - (\frac{1.25}{0.8}) \cdot (10 - 300))

3844.0969W = 0.093 \cdot (7m - 2m) \cdot 15m \cdot (98J/sm² - (\frac{1.25W/m²*K}{0.8}) \cdot (10K - 300K))

3844.0969 = 0.093 \cdot (7 - 2) \cdot 15 \cdot (98 - (\frac{1.25}{0.8}) \cdot (10 - 300))

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

Follow our step by step solution on how to calculate Useful heat gain rate in concentrating collector when concentration ratio is present?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

q u = 0.093 \cdot (7m - 2m) \cdot 15m \cdot (98J/sm² - (\frac{1.25W/m²*K}{0.8}) \cdot (10K - 300K))

Next Step Convert Units

∴

q u = 0.093 \cdot (7m - 2m) \cdot 15m \cdot (98W/m² - (\frac{1.25W/m²*K}{0.8}) \cdot (10K - 300K))

Next Step Prepare to Evaluate

∴

q u = 0.093 \cdot (7 - 2) \cdot 15 \cdot (98 - (\frac{1.25}{0.8}) \cdot (10 - 300))

Next Step Evaluate

∴

q u = 3844.096875W

LAST Step Rounding Answer

∴

q u = 3844.0969W

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

Variables

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

Collector Heat Removal Factor

Collector heat removal factor is the ratio of the actual heat transfer to the maximum possible heat transfer through the collector plate.

Symbol: F_R

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Collector Heat Removal Factor

Concentrator Aperture

Concentrator aperture is defined as the opening through which sun rays pass .

Symbol: W

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Concentrator Aperture

Outer Diameter of Absorber Tube

Outer diameter of absorber tube is the measurement of the outside edges of the tube passing through its center.

Symbol: D_o

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Outer Diameter of Absorber Tube

Length of Concentrator

Length of concentrator is the length of concentrator from one end to other end.

Symbol: L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Concentrator

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

Inlet fluid Temperature Flat Plate Collector

Inlet fluid temperature flat plate collector is defined as the temperature at which the liquid enters the liquid flat plate collector.

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

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 to find Useful Heat Gain

Go Useful heat gain in concentrating collector

q u = A a \cdot S - q l

Go Useful heat gain when collection efficiency is present

q u = η i \cdot (I b \cdot r b + I d \cdot r d) \cdot W \cdot L

Other formulas in Concentrating Collectors category

Go Maximum possible concentration ratio of 2-D concentrator

C m = \frac{1}{\sin (θ a)}

Go Maximum possible concentration ratio of 3-D concentrator

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

How to Evaluate Useful heat gain rate in concentrating collector when concentration ratio is present?

Useful heat gain rate in concentrating collector when concentration ratio is present evaluator uses 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)) to evaluate the Useful Heat Gain, The Useful heat gain rate in concentrating collector when concentration ratio is present 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 rate in concentrating collector when concentration ratio is present using this online evaluator? To use this online evaluator for Useful heat gain rate in concentrating collector when concentration ratio is present, enter Collector Heat Removal Factor (F_R), Concentrator Aperture (W), Outer Diameter of Absorber Tube (D_o), 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 rate in concentrating collector when concentration ratio is present

What is the formula to find Useful heat gain rate in concentrating collector when concentration ratio is present?

The formula of Useful heat gain rate in concentrating collector when concentration ratio is present is expressed as 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)). Here is an example- 4133.438 = 0.093*(7-2)*15*(98-(1.25/0.8)*(10-300)).

How to calculate Useful heat gain rate in concentrating collector when concentration ratio is present?

With Collector Heat Removal Factor (F_R), Concentrator Aperture (W), Outer Diameter of Absorber Tube (D_o), 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 rate in concentrating collector when concentration ratio is present using the formula - 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)).

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=Instantaneous Collection Efficiency*(Hourly Beam Component*Tilt Factor for Beam Radiation+Hourly Diffuse Component*Tilt factor for Diffused Radiation)*Concentrator Aperture*Length of Concentrator
Useful Heat Gain=(Mass Flowrate*Molar Specific Heat Capacity at Constant Pressure)*(((Concentration Ratio*Flux Absorbed by Plate)/Overall Loss Coefficient)+(Ambient Air Temperature-Inlet fluid Temperature Flat Plate Collector))*(1-e^(-(Collector Efficiency Factor*pi*Outer Diameter of Absorber Tube*Overall Loss Coefficient*Length of Concentrator)/(Mass Flowrate*Molar Specific Heat Capacity at Constant Pressure)))

Can the Useful heat gain rate in concentrating collector when concentration ratio is present be negative?

Yes, the Useful heat gain rate in concentrating collector when concentration ratio is present, measured in Power can be negative.

Which unit is used to measure Useful heat gain rate in concentrating collector when concentration ratio is present?

Useful heat gain rate in concentrating collector when concentration ratio is present 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 rate in concentrating collector when concentration ratio is present can be measured.

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

​GoUseful heat gain in concentrating collector Formula

​GoUseful heat gain when collection efficiency is present Formula

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

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

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

Other Formulas to find Useful Heat Gain

Other formulas in Concentrating Collectors category

How to Evaluate Useful heat gain rate in concentrating collector when concentration ratio is present?

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

Variable Name

GoUseful heat gain in concentrating collector Formula

GoUseful heat gain when collection efficiency is present Formula