Maximum possible concentration ratio of 2-D concentrator Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum concentration ratio = 1/sin(Acceptance Angle)
Cm = 1/sin(θa)
This formula uses 1 Functions, 2 Variables
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Maximum concentration ratio - Maximum concentration ratio is the maximum value of the ratio of effective aperture area to absorber area.
Acceptance Angle - (Measured in Radian) - Acceptance angle is defined as the angle over which beam radiation may deviate from normal to the aperture plane and yet reach the observer.
STEP 1: Convert Input(s) to Base Unit
Acceptance Angle: 65 Degree --> 1.1344640137961 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cm = 1/sin(θa) --> 1/sin(1.1344640137961)
Evaluating ... ...
Cm = 1.1033779189626
STEP 3: Convert Result to Output's Unit
1.1033779189626 --> No Conversion Required
FINAL ANSWER
1.1033779189626 1.103378 <-- Maximum concentration ratio
(Calculation completed in 00.004 seconds)

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DIT UNIVERSITY (DITU), Dehradun
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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)

Maximum possible concentration ratio of 2-D concentrator Formula

Maximum concentration ratio = 1/sin(Acceptance Angle)
Cm = 1/sin(θa)

What is concentration ratio?

It is the ratio of solar radiation entering the collector to solar radiation received by the receiver. The value of concentration ratio of flat plate collector is nearly around 10 and thus is used to collect most of the sunlight to the use.

How to Calculate Maximum possible concentration ratio of 2-D concentrator?

Maximum possible concentration ratio of 2-D concentrator calculator uses Maximum concentration ratio = 1/sin(Acceptance Angle) to calculate the Maximum concentration ratio, The Maximum possible concentration ratio of 2-D concentrator formula is defined as the maximum value of the ratio of effective aperture area to absorber area for a line-focus concentrator. Maximum concentration ratio is denoted by Cm symbol.

How to calculate Maximum possible concentration ratio of 2-D concentrator using this online calculator? To use this online calculator for Maximum possible concentration ratio of 2-D concentrator, enter Acceptance Angle a) and hit the calculate button. Here is how the Maximum possible concentration ratio of 2-D concentrator calculation can be explained with given input values -> 1.103378 = 1/sin(1.1344640137961).

FAQ

What is Maximum possible concentration ratio of 2-D concentrator?
The Maximum possible concentration ratio of 2-D concentrator formula is defined as the maximum value of the ratio of effective aperture area to absorber area for a line-focus concentrator and is represented as Cm = 1/sin(θa) or Maximum concentration ratio = 1/sin(Acceptance Angle). Acceptance angle is defined as the angle over which beam radiation may deviate from normal to the aperture plane and yet reach the observer.
How to calculate Maximum possible concentration ratio of 2-D concentrator?
The Maximum possible concentration ratio of 2-D concentrator formula is defined as the maximum value of the ratio of effective aperture area to absorber area for a line-focus concentrator is calculated using Maximum concentration ratio = 1/sin(Acceptance Angle). To calculate Maximum possible concentration ratio of 2-D concentrator, you need Acceptance Angle a). With our tool, you need to enter the respective value for Acceptance Angle 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 Maximum concentration ratio?
In this formula, Maximum concentration ratio uses Acceptance Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Maximum concentration ratio = 2/(1-cos(2*Acceptance Angle))
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