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Maximum possible concentration ratio of 3-D concentrator Calculator

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✖Acceptance Angle for 3D is the range of angles at which a solar collector can effectively capture sunlight, maximizing energy absorption for optimal performance.ⓘ Acceptance Angle for 3D [θ_{a 3d}]

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✖The Maximum Concentration Ratio is the highest ratio of concentrated solar energy to the incident solar energy, indicating the efficiency of solar collectors in harnessing sunlight.ⓘ Maximum possible concentration ratio of 3-D concentrator [C_m]

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Maximum possible concentration ratio of 3-D concentrator Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Concentration Ratio = 2/(1-cos(2*Acceptance Angle for 3D))
C_m = 2/(1-cos(2*θ_{a 3d}))
This formula uses 1 Functions, 2 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Maximum Concentration Ratio - The Maximum Concentration Ratio is the highest ratio of concentrated solar energy to the incident solar energy, indicating the efficiency of solar collectors in harnessing sunlight.
Acceptance Angle for 3D - (Measured in Radian) - Acceptance Angle for 3D is the range of angles at which a solar collector can effectively capture sunlight, maximizing energy absorption for optimal performance.

STEP 1: Convert Input(s) to Base Unit

Acceptance Angle for 3D: 59.54849 Degree --> 1.03931721509072 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_m = 2/(1-cos(2*θ_{a 3d})) --> 2/(1-cos(2*1.03931721509072))

Evaluating ... ...

C_m = 1.34563302549547

STEP 3: Convert Result to Output's Unit

1.34563302549547 --> No Conversion Required

FINAL ANSWER

1.34563302549547 ≈ 1.345633 <-- Maximum Concentration Ratio

(Calculation completed in 00.004 seconds)

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Useful heat gain in concentrating collector

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Maximum possible concentration ratio of 3-D concentrator

LaTeX Go Maximum Concentration Ratio = 2/(1-cos(2*Acceptance Angle for 3D))

Maximum possible concentration ratio of 2-D concentrator

Go Maximum Concentration Ratio = 1/sin(Acceptance Angle for 2D)

Maximum possible concentration ratio of 3-D concentrator Formula

LaTeX Go

Maximum Concentration Ratio = 2/(1-cos(2*Acceptance Angle for 3D))
C_m = 2/(1-cos(2*θ_{a 3d}))

What is Concentration Ratio?

The concentration ratio is the ratio of the area of the solar collector that gathers sunlight to the area of the receiver that absorbs it. It indicates how effectively the collector focuses sunlight onto the receiver. A higher concentration ratio means greater solar energy is focused, enhancing the thermal or electrical output, and is commonly used in concentrated solar power systems for efficiency evaluation.

How to Calculate Maximum possible concentration ratio of 3-D concentrator?

Maximum possible concentration ratio of 3-D concentrator calculator uses Maximum Concentration Ratio = 2/(1-cos(2*Acceptance Angle for 3D)) to calculate the Maximum Concentration Ratio, The Maximum possible concentration ratio of 3-D concentrator formula is defined as the maximum value of the ratio of effective aperture area to absorber area for a point-focus concentrator. Maximum Concentration Ratio is denoted by C_m symbol.

How to calculate Maximum possible concentration ratio of 3-D concentrator using this online calculator? To use this online calculator for Maximum possible concentration ratio of 3-D concentrator, enter Acceptance Angle for 3D (θ_{a 3d}) and hit the calculate button. Here is how the Maximum possible concentration ratio of 3-D concentrator calculation can be explained with given input values -> 1.810727 = 2/(1-cos(2*1.03931721509072)).

FAQ

What is Maximum possible concentration ratio of 3-D concentrator?

The Maximum possible concentration ratio of 3-D concentrator formula is defined as the maximum value of the ratio of effective aperture area to absorber area for a point-focus concentrator and is represented as C_m = 2/(1-cos(2*θ_{a 3d})) or Maximum Concentration Ratio = 2/(1-cos(2*Acceptance Angle for 3D)). Acceptance Angle for 3D is the range of angles at which a solar collector can effectively capture sunlight, maximizing energy absorption for optimal performance.

How to calculate Maximum possible concentration ratio of 3-D concentrator?

The Maximum possible concentration ratio of 3-D concentrator formula is defined as the maximum value of the ratio of effective aperture area to absorber area for a point-focus concentrator is calculated using Maximum Concentration Ratio = 2/(1-cos(2*Acceptance Angle for 3D)). To calculate Maximum possible concentration ratio of 3-D concentrator, you need Acceptance Angle for 3D (θ_{a 3d}). With our tool, you need to enter the respective value for Acceptance Angle for 3D 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 for 3D. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum Concentration Ratio = 1/sin(Acceptance Angle for 2D)

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