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Useful heat gain when collection efficiency is present Formula

GoUseful heat gain in concentrating collector Formula

GoUseful heat gain rate in concentrating collector when concentration ratio 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 = η i \cdot (I b \cdot r b + I d \cdot r d) \cdot W \cdot L

q_u - Useful Heat Gain?η_i - Instantaneous Collection Efficiency?I_b - Hourly Beam Component?r_b - Tilt Factor for Beam Radiation?I_d - Hourly Diffuse Component?r_d - Tilt factor for Diffused Radiation?W - Concentrator Aperture?L - Length of Concentrator?

Useful heat gain when collection efficiency is present Example

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Here is how the Useful heat gain when collection efficiency is present equation looks like with Values.

Here is how the Useful heat gain when collection efficiency is present equation looks like with Units.

Here is how the Useful heat gain when collection efficiency is present equation looks like.

3685.5 = 0.39 \cdot (180 \cdot 0.25 + 9 \cdot 5) \cdot 7 \cdot 15

3685.5W = 0.39 \cdot (180J/sm² \cdot 0.25 + 9J/sm² \cdot 5) \cdot 7m \cdot 15m

3685.5 = 0.39 \cdot (180 \cdot 0.25 + 9 \cdot 5) \cdot 7 \cdot 15

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Home » Physics » Mechanical » Solar Energy Systems » Useful heat gain when collection efficiency is present

Useful heat gain when collection efficiency is present Solution

Follow our step by step solution on how to calculate Useful heat gain when collection efficiency is present?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

q u = 0.39 \cdot (180J/sm² \cdot 0.25 + 9J/sm² \cdot 5) \cdot 7m \cdot 15m

Next Step Convert Units

∴

q u = 0.39 \cdot (180W/m² \cdot 0.25 + 9W/m² \cdot 5) \cdot 7m \cdot 15m

Next Step Prepare to Evaluate

∴

q u = 0.39 \cdot (180 \cdot 0.25 + 9 \cdot 5) \cdot 7 \cdot 15

LAST Step Evaluate

∴

q u = 3685.5W

Useful heat gain when collection efficiency 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.

Instantaneous Collection Efficiency

Instantaneous collection efficiency is defined as ratio of useful heat gain to radiation incident on collector.

Symbol: η_i

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Hourly Beam Component

Hourly beam component is defined as the solar radiation received from the Sun without having been scattered by the atmosphere per hour.

Symbol: I_b

Measurement: Heat Flux DensityUnit: J/sm²

Note: Value can be positive or negative.

Tilt Factor for Beam Radiation

Tilt factor for beam radiation is defined as the ratio of beam radiation flux falling on a tilted surface to that falling on an horizontal surface.

Symbol: r_b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Hourly Diffuse Component

Hourly diffuse component is defined as the part of total radiation that reaches earth's surface after a change of its directions due to scattering by the atmosphere per hour.

Symbol: I_d

Measurement: Heat Flux DensityUnit: J/sm²

Note: Value can be positive or negative.

Tilt factor for Diffused Radiation

Tilt factor for diffused radiation is the ratio of the diffuse radiation flux falling on the tilted surface to that falling on a horizontal surface.

Symbol: r_d

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

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.

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.

Credits

Created by ADITYA RAWAT

DIT UNIVERSITY (DITU), Dehradun

ADITYA RAWAT has created this Formula and 50+ more formulas!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Formula and 2500+ more formulas!

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)}

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 when collection efficiency is present?

Useful heat gain when collection efficiency is present evaluator uses 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 to evaluate the Useful Heat Gain, The Useful heat gain when collection efficiency 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 when collection efficiency is present using this online evaluator? To use this online evaluator for Useful heat gain when collection efficiency is present, enter Instantaneous Collection Efficiency (η_i), Hourly Beam Component (I_b), Tilt Factor for Beam Radiation (r_b), Hourly Diffuse Component (I_d), Tilt factor for Diffused Radiation (r_d), Concentrator Aperture (W) & Length of Concentrator (L) and hit the calculate button.

FAQs on Useful heat gain when collection efficiency is present

What is the formula to find Useful heat gain when collection efficiency is present?

The formula of Useful heat gain when collection efficiency is present is expressed as 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. Here is an example- 6378.75 = 0.39*(180*0.25+9*5)*7*15.

How to calculate Useful heat gain when collection efficiency is present?

With Instantaneous Collection Efficiency (η_i), Hourly Beam Component (I_b), Tilt Factor for Beam Radiation (r_b), Hourly Diffuse Component (I_d), Tilt factor for Diffused Radiation (r_d), Concentrator Aperture (W) & Length of Concentrator (L) we can find Useful heat gain when collection efficiency is present using the formula - 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.

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=(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 when collection efficiency is present be negative?

Yes, the Useful heat gain when collection efficiency is present, measured in Power can be negative.

Which unit is used to measure Useful heat gain when collection efficiency is present?

Useful heat gain when collection efficiency 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 when collection efficiency is present can be measured.

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Useful heat gain when collection efficiency is present Formula

​GoUseful heat gain in concentrating collector Formula

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

Useful heat gain when collection efficiency is present Example

Useful heat gain when collection efficiency is present Solution

Useful heat gain when collection efficiency is present Formula Elements

Credits

Other Formulas to find Useful Heat Gain

Other formulas in Concentrating Collectors category

How to Evaluate Useful heat gain when collection efficiency is present?

FAQs on Useful heat gain when collection efficiency is present

Variable Name

GoUseful heat gain in concentrating collector Formula

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