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

STEP 0: Pre-Calculation Summary
Formula Used
Solar beam radiation = (Useful heat gain+Heat Loss from Collector)/Effective area of aperture
S = (qu+ql)/Aa
This formula uses 4 Variables
Variables Used
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.
Useful heat gain - (Measured in Watt) - Useful heat gain is defined as the rate of heat transfer to the working fluid.
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.
Effective area of aperture - (Measured in Square Meter) - Effective area of aperture is defined as total area of aperture exposed to the incident radiation.
STEP 1: Convert Input(s) to Base Unit
Useful heat gain: 20 Watt --> 20 Watt No Conversion Required
Heat Loss from Collector: 8 Watt --> 8 Watt No Conversion Required
Effective area of aperture: 1.2 Square Meter --> 1.2 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = (qu+ql)/Aa --> (20+8)/1.2
Evaluating ... ...
S = 23.3333333333333
STEP 3: Convert Result to Output's Unit
23.3333333333333 Watt per Square Meter -->23.3333333333333 Joule per Second per Square Meter (Check conversion here)
FINAL ANSWER
23.3333333333333 23.33333 Joule per Second per Square Meter <-- Solar beam radiation
(Calculation completed in 00.004 seconds)

Credits

Created by ADITYA RAWAT
DIT UNIVERSITY (DITU), Dehradun
ADITYA RAWAT has created this Calculator and 50+ more calculators!
Verified by Ravi Khiyani
Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
Ravi Khiyani has verified this Calculator and 300+ more calculators!

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)

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

Solar beam radiation = (Useful heat gain+Heat Loss from Collector)/Effective area of aperture
S = (qu+ql)/Aa

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

Solar Beam Radiation given Useful Heat Gain Rate and Heat Loss Rate from Absorber calculator uses Solar beam radiation = (Useful heat gain+Heat Loss from Collector)/Effective area of aperture to calculate the Solar beam radiation, The Solar Beam Radiation given Useful Heat Gain Rate and Heat Loss Rate from Absorber formula is defined as the amount of radiation absorbed in the absorber per unit effective aperture area. Solar beam radiation is denoted by S symbol.

How to calculate Solar Beam Radiation given Useful Heat Gain Rate and Heat Loss Rate from Absorber using this online calculator? To use this online calculator for Solar Beam Radiation given Useful Heat Gain Rate and Heat Loss Rate from Absorber, enter Useful heat gain (qu), Heat Loss from Collector (ql) & Effective area of aperture (Aa) and hit the calculate button. Here is how the Solar Beam Radiation given Useful Heat Gain Rate and Heat Loss Rate from Absorber calculation can be explained with given input values -> 23.33333 = (20+8)/1.2.

FAQ

What is Solar Beam Radiation given Useful Heat Gain Rate and Heat Loss Rate from Absorber?
The Solar Beam Radiation given Useful Heat Gain Rate and Heat Loss Rate from Absorber formula is defined as the amount of radiation absorbed in the absorber per unit effective aperture area and is represented as S = (qu+ql)/Aa or Solar beam radiation = (Useful heat gain+Heat Loss from Collector)/Effective area of aperture. Useful heat gain is defined as the rate of heat transfer to the working fluid, Heat loss from collector is defined as the heat losses that occur due to convection, conduction and radiation & Effective area of aperture is defined as total area of aperture exposed to the incident radiation.
How to calculate Solar Beam Radiation given Useful Heat Gain Rate and Heat Loss Rate from Absorber?
The Solar Beam Radiation given Useful Heat Gain Rate and Heat Loss Rate from Absorber formula is defined as the amount of radiation absorbed in the absorber per unit effective aperture area is calculated using Solar beam radiation = (Useful heat gain+Heat Loss from Collector)/Effective area of aperture. To calculate Solar Beam Radiation given Useful Heat Gain Rate and Heat Loss Rate from Absorber, you need Useful heat gain (qu), Heat Loss from Collector (ql) & Effective area of aperture (Aa). With our tool, you need to enter the respective value for Useful heat gain, Heat Loss from Collector & Effective area of aperture and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!