Useful heat gain in concentrating collector Calculator

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✖Effective area of aperture is defined as total area of aperture exposed to the incident radiation.ⓘ Effective area of aperture [A_a]			+10% -10%
✖Solar beam radiation is the amount of radiation absorbed in the absorber per unit effective aperture area.ⓘ Solar beam radiation [S]			+10% -10%
✖Heat loss from collector is defined as the heat losses that occur due to convection, conduction and radiation.ⓘ Heat Loss from Collector [q_l]			+10% -10%

✖Useful heat gain is defined as the rate of heat transfer to the working fluid.ⓘ Useful heat gain in concentrating collector [q_u]

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Useful heat gain in concentrating collector

Formula

`"q"_{"u"} = "A"_{"a"}*"S"-"q"_{"l"}`

Example

`"112W"="1.2m²"*"100J/sm²"-"8W"`

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Useful heat gain in concentrating collector Solution

STEP 0: Pre-Calculation Summary

Formula Used

Useful heat gain = Effective area of aperture*Solar beam radiation-Heat Loss from Collector
q_u = A_a*S-q_l
This formula uses 4 Variables

Variables Used

Useful heat gain - (Measured in Watt) - Useful heat gain is defined as the rate of heat transfer to the working fluid.
Effective area of aperture - (Measured in Square Meter) - Effective area of aperture is defined as total area of aperture exposed to the incident radiation.
Solar beam radiation - (Measured in Watt per Square Meter) - Solar beam radiation is the amount of radiation absorbed in the absorber per unit effective aperture area.
Heat Loss from Collector - (Measured in Watt) - Heat loss from collector is defined as the heat losses that occur due to convection, conduction and radiation.

STEP 1: Convert Input(s) to Base Unit

Effective area of aperture: 1.2 Square Meter --> 1.2 Square Meter No Conversion Required
Solar beam radiation: 100 Joule per Second per Square Meter --> 100 Watt per Square Meter (Check conversion here)
Heat Loss from Collector: 8 Watt --> 8 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q_u = A_a*S-q_l --> 1.2*100-8

Evaluating ... ...

q_u = 112

STEP 3: Convert Result to Output's Unit

112 Watt --> No Conversion Required

FINAL ANSWER

112 Watt <-- Useful heat gain

(Calculation completed in 00.004 seconds)

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< 23 Concentrating Collectors Calculators

Useful heat gain when collector efficiency factor is present

Go 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)))

Heat removal factor concentrating collector

Go Collector heat removal factor = ((Mass Flowrate*Molar Specific Heat Capacity at Constant Pressure)/(pi*Outer diameter of absorber tube*Length of Concentrator*Overall loss coefficient))*(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)))

Heat removal factor in compound parabolic collector

Go Collector heat removal factor = ((Mass Flowrate*Molar Specific Heat Capacity at Constant Pressure)/(Absorber Surface Width*Overall loss coefficient*Length of Concentrator))*(1-e^(-(Collector Efficiency Factor*Absorber Surface Width*Overall loss coefficient*Length of Concentrator)/(Mass Flowrate*Molar Specific Heat Capacity at Constant Pressure)))

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

Go 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 in compound parabolic collector

Go 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)))

Flux absorbed in compound parabolic collector

Go Flux absorbed by plate = ((Hourly beam component*Tilt Factor for Beam Radiation)+(Hourly Diffuse Component/Concentration ratio))*Transmissivity of Cover*Effective reflectivity of concentrator*Absorptivity of Absorber Surface

Instantaneous collection efficiency of concentrating collector

Go Instantaneous Collection Efficiency = Useful heat gain/((Hourly beam component*Tilt Factor for Beam Radiation+Hourly Diffuse Component*Tilt factor for diffused radiation)*Concentrator Aperture*Length of Concentrator)

Useful heat gain when collection efficiency is present

Go 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

Collector efficiency factor for compound parabolic collector

Go Collector Efficiency Factor = (Overall loss coefficient*(1/Overall loss coefficient+(Absorber Surface Width/(Number of Tubes*pi*Inner diameter absorber tube*Heat Transfer Coefficient Inside))))^-1

Area of Aperture given Useful Heat Gain

Go Effective area of aperture = Useful heat gain/(Flux absorbed by plate-(Overall loss coefficient/Concentration ratio)*(Average temperature of absorber plate-Ambient Air Temperature))

Collector efficiency factor concentrating collector

Go Collector Efficiency Factor = 1/(Overall loss coefficient*(1/Overall loss coefficient+Outer diameter of absorber tube/(Inner diameter absorber tube*Heat Transfer Coefficient Inside)))

Instantaneous collection efficiency of concentrating collector on basis of beam radiation

Go Instantaneous Collection Efficiency = Useful heat gain/(Hourly beam component*Tilt Factor for Beam Radiation*Concentrator Aperture*Length of Concentrator)

Area of absorber in central receiver collector

Go Area of Absorber in Central Receiver Collector = pi/2*Diameter of Sphere Absorber^2*(1+sin(Rim Angle)-(cos(Rim Angle)/2))

Area of Absorber given Heat Loss from Absorber

Go Area of absorber plate = Heat Loss from Collector/(Overall loss coefficient*(Average temperature of absorber plate-Ambient Air Temperature))

Concentration ratio of collector

Go Concentration ratio = (Concentrator Aperture-Outer diameter of absorber tube)/(pi*Outer diameter of absorber tube)

Inclination of reflectors

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

Solar Beam Radiation given Useful Heat Gain Rate and Heat Loss Rate from Absorber

Go Solar beam radiation = (Useful heat gain+Heat Loss from Collector)/Effective area of aperture

Useful heat gain in concentrating collector

Go Useful heat gain = Effective area of aperture*Solar beam radiation-Heat Loss from Collector

Outer Diameter of Absorber Tube given Concentration Ratio

Go Outer diameter of absorber tube = Concentrator Aperture/(Concentration ratio*pi+1)

Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio

Go Acceptance Angle = (acos(1-2/Maximum concentration ratio))/2

Maximum possible concentration ratio of 3-D concentrator

Go Maximum concentration ratio = 2/(1-cos(2*Acceptance Angle))

Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio

Go Acceptance Angle = asin(1/Maximum concentration ratio)

Maximum possible concentration ratio of 2-D concentrator

Go Maximum concentration ratio = 1/sin(Acceptance Angle)

Useful heat gain in concentrating collector Formula

Useful heat gain = Effective area of aperture*Solar beam radiation-Heat Loss from Collector
q_u = A_a*S-q_l

How do we get useful heat gain?

Useful heat gain is nothing but the difference between the incident (absorbed) radiation and the heat lost due to convection, re-radiation, and conduction.

How to Calculate Useful heat gain in concentrating collector?

Useful heat gain in concentrating collector calculator uses Useful heat gain = Effective area of aperture*Solar beam radiation-Heat Loss from Collector to calculate the Useful heat gain, The Useful heat gain in concentrating 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 concentrating collector using this online calculator? To use this online calculator for Useful heat gain in concentrating collector, enter Effective area of aperture (A_a), Solar beam radiation (S) & Heat Loss from Collector (q_l) and hit the calculate button. Here is how the Useful heat gain in concentrating collector calculation can be explained with given input values -> 112 = 1.2*100-8.

FAQ

What is Useful heat gain in concentrating collector?

The Useful heat gain in concentrating 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 = A_a*S-q_l or Useful heat gain = Effective area of aperture*Solar beam radiation-Heat Loss from Collector. Effective area of aperture is defined as total area of aperture exposed to the incident radiation, Solar beam radiation is the amount of radiation absorbed in the absorber per unit effective aperture area & Heat loss from collector is defined as the heat losses that occur due to convection, conduction and radiation.

How to calculate Useful heat gain in concentrating collector?

The Useful heat gain in concentrating 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 = Effective area of aperture*Solar beam radiation-Heat Loss from Collector. To calculate Useful heat gain in concentrating collector, you need Effective area of aperture (A_a), Solar beam radiation (S) & Heat Loss from Collector (q_l). With our tool, you need to enter the respective value for Effective area of aperture, Solar beam radiation & Heat Loss from Collector 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 Effective area of aperture, Solar beam radiation & Heat Loss from Collector. We can use 4 other way(s) to calculate the same, which is/are as follows -

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
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)))
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)))

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