Flux absorbed in compound parabolic collector Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
Sflux = ((Ib*rb)+(Id/C))*τ*ρe*α
This formula uses 8 Variables
Variables Used
Flux absorbed by plate - (Measured in Watt per Square Meter) - Flux absorbed by plate is defined as the incident solar flux absorbed in the absorber plate.
Hourly beam component - (Measured in Watt per Square Meter) - Hourly beam component is defined as the solar radiation received from the Sun without having been scattered by the atmosphere per hour.
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.
Hourly Diffuse Component - (Measured in Watt per Square Meter) - 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.
Concentration ratio - Concentration ratio is defined as the ratio of the effective area of aperture to the surface area of the absorber.
Transmissivity of Cover - Transmissivity of cover is defined as the degree to which the cover allows something, in particular electromagnetic radiation, to pass through it.
Effective reflectivity of concentrator - Effective reflectivity of concentrator is the ability of the concentrator to reflect the energy incident on its surface for all types of radiation.
Absorptivity of Absorber Surface - Absorptivity of absorber surface is the property of the surface that determines the fraction of incident radiation absorbed by the surface.
STEP 1: Convert Input(s) to Base Unit
Hourly beam component: 18 Joule per Second per Square Meter --> 18 Watt per Square Meter (Check conversion here)
Tilt Factor for Beam Radiation: 0.25 --> No Conversion Required
Hourly Diffuse Component: 9 Joule per Second per Square Meter --> 9 Watt per Square Meter (Check conversion here)
Concentration ratio: 0.8 --> No Conversion Required
Transmissivity of Cover: 0.56 --> No Conversion Required
Effective reflectivity of concentrator: 0.5 --> No Conversion Required
Absorptivity of Absorber Surface: 0.7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sflux = ((Ib*rb)+(Id/C))*τ*ρe*α --> ((18*0.25)+(9/0.8))*0.56*0.5*0.7
Evaluating ... ...
Sflux = 3.087
STEP 3: Convert Result to Output's Unit
3.087 Watt per Square Meter -->3.087 Joule per Second per Square Meter (Check conversion here)
FINAL ANSWER
3.087 Joule per Second per Square Meter <-- Flux absorbed by plate
(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)

Flux absorbed in compound parabolic collector Formula

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
Sflux = ((Ib*rb)+(Id/C))*τ*ρe*α

What is compound parabolic collector?

Compound parabolic collectors are non-imaging concentrators. They have the capability of reflecting to the absorber all of the incident radiation within wide limits.

How to Calculate Flux absorbed in compound parabolic collector?

Flux absorbed in compound parabolic collector calculator uses 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 to calculate the Flux absorbed by plate, The Flux absorbed in compound parabolic collector formula is defined as the incident solar flux absorbed in the absorber/collector. Flux absorbed by plate is denoted by Sflux symbol.

How to calculate Flux absorbed in compound parabolic collector using this online calculator? To use this online calculator for Flux absorbed in compound parabolic collector, enter Hourly beam component (Ib), Tilt Factor for Beam Radiation (rb), Hourly Diffuse Component (Id), Concentration ratio (C), Transmissivity of Cover (τ), Effective reflectivity of concentrator e) & Absorptivity of Absorber Surface (α) and hit the calculate button. Here is how the Flux absorbed in compound parabolic collector calculation can be explained with given input values -> 3.087 = ((18*0.25)+(9/0.8))*0.56*0.5*0.7.

FAQ

What is Flux absorbed in compound parabolic collector?
The Flux absorbed in compound parabolic collector formula is defined as the incident solar flux absorbed in the absorber/collector and is represented as Sflux = ((Ib*rb)+(Id/C))*τ*ρe or 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. Hourly beam component is defined as the solar radiation received from the Sun without having been scattered by the atmosphere per hour, 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, 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, Concentration ratio is defined as the ratio of the effective area of aperture to the surface area of the absorber, Transmissivity of cover is defined as the degree to which the cover allows something, in particular electromagnetic radiation, to pass through it, Effective reflectivity of concentrator is the ability of the concentrator to reflect the energy incident on its surface for all types of radiation & Absorptivity of absorber surface is the property of the surface that determines the fraction of incident radiation absorbed by the surface.
How to calculate Flux absorbed in compound parabolic collector?
The Flux absorbed in compound parabolic collector formula is defined as the incident solar flux absorbed in the absorber/collector is calculated using 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. To calculate Flux absorbed in compound parabolic collector, you need Hourly beam component (Ib), Tilt Factor for Beam Radiation (rb), Hourly Diffuse Component (Id), Concentration ratio (C), Transmissivity of Cover (τ), Effective reflectivity of concentrator e) & Absorptivity of Absorber Surface (α). With our tool, you need to enter the respective value for Hourly beam component, Tilt Factor for Beam Radiation, Hourly Diffuse Component, Concentration ratio, Transmissivity of Cover, Effective reflectivity of concentrator & Absorptivity of Absorber Surface and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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