Instantaneous collection efficiency of concentrating collector Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
ηi = qu/((Ib*rb+Id*rd)*W*L)
This formula uses 8 Variables
Variables Used
Instantaneous Collection Efficiency - Instantaneous collection efficiency is defined as ratio of useful heat gain to radiation incident on collector.
Useful Heat Gain - (Measured in Watt) - Useful heat gain is defined as the rate of heat transfer to the working fluid.
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.
Tilt factor for Diffused Radiation - Tilt factor for diffused radiation is the ratio of the diffuse radiation flux falling on the tilted surface to that falling on a horizontal surface.
Concentrator Aperture - (Measured in Meter) - Concentrator aperture is defined as the opening through which sun rays pass .
Length of Concentrator - (Measured in Meter) - Length of concentrator is the length of concentrator from one end to other end.
STEP 1: Convert Input(s) to Base Unit
Useful Heat Gain: 3700 Watt --> 3700 Watt No Conversion Required
Hourly Beam Component: 180 Joule per Second per Square Meter --> 180 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)
Tilt factor for Diffused Radiation: 5 --> No Conversion Required
Concentrator Aperture: 7 Meter --> 7 Meter No Conversion Required
Length of Concentrator: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ηi = qu/((Ib*rb+Id*rd)*W*L) --> 3700/((180*0.25+9*5)*7*15)
Evaluating ... ...
ηi = 0.391534391534392
STEP 3: Convert Result to Output's Unit
0.391534391534392 --> No Conversion Required
FINAL ANSWER
0.391534391534392 0.391534 <-- Instantaneous Collection Efficiency
(Calculation completed in 00.004 seconds)

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DIT UNIVERSITY (DITU), Dehradun
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Concentrating Collectors Calculators

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​ LaTeX ​ Go Useful Heat Gain = Effective Area of Aperture*Solar Beam Radiation-Heat Loss from Collector
Maximum possible concentration ratio of 3-D concentrator
​ LaTeX ​ Go Maximum Concentration Ratio = 2/(1-cos(2*Acceptance Angle))
Maximum possible concentration ratio of 2-D concentrator
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Instantaneous collection efficiency of concentrating collector Formula

​LaTeX ​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)
ηi = qu/((Ib*rb+Id*rd)*W*L)

What does instantaneous collection efficiency mean?

It is the amount of energy removed by the transfer fluid over a given measuring period divided by the total incident solar radiation onto the gross collector area during the measuring period.

How to Calculate Instantaneous collection efficiency of concentrating collector?

Instantaneous collection efficiency of concentrating collector calculator uses 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) to calculate the Instantaneous Collection Efficiency, The Instantaneous collection efficiency of concentrating collector formula is defined as the ratio of useful heat gain to the radiation incident on the collector. Instantaneous Collection Efficiency is denoted by ηi symbol.

How to calculate Instantaneous collection efficiency of concentrating collector using this online calculator? To use this online calculator for Instantaneous collection efficiency of concentrating collector, enter Useful Heat Gain (qu), Hourly Beam Component (Ib), Tilt Factor for Beam Radiation (rb), Hourly Diffuse Component (Id), Tilt factor for Diffused Radiation (rd), Concentrator Aperture (W) & Length of Concentrator (L) and hit the calculate button. Here is how the Instantaneous collection efficiency of concentrating collector calculation can be explained with given input values -> 0.391534 = 3700/((180*0.25+9*5)*7*15).

FAQ

What is Instantaneous collection efficiency of concentrating collector?
The Instantaneous collection efficiency of concentrating collector formula is defined as the ratio of useful heat gain to the radiation incident on the collector and is represented as ηi = qu/((Ib*rb+Id*rd)*W*L) or 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 is defined as the rate of heat transfer to the working fluid, 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, Tilt factor for diffused radiation is the ratio of the diffuse radiation flux falling on the tilted surface to that falling on a horizontal surface, Concentrator aperture is defined as the opening through which sun rays pass & Length of concentrator is the length of concentrator from one end to other end.
How to calculate Instantaneous collection efficiency of concentrating collector?
The Instantaneous collection efficiency of concentrating collector formula is defined as the ratio of useful heat gain to the radiation incident on the collector is calculated using 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). To calculate Instantaneous collection efficiency of concentrating collector, you need Useful Heat Gain (qu), Hourly Beam Component (Ib), Tilt Factor for Beam Radiation (rb), Hourly Diffuse Component (Id), Tilt factor for Diffused Radiation (rd), Concentrator Aperture (W) & Length of Concentrator (L). With our tool, you need to enter the respective value for Useful Heat Gain, Hourly Beam Component, Tilt Factor for Beam Radiation, Hourly Diffuse Component, Tilt factor for Diffused Radiation, Concentrator Aperture & Length of Concentrator 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 Instantaneous Collection Efficiency?
In this formula, Instantaneous Collection Efficiency uses Useful Heat Gain, Hourly Beam Component, Tilt Factor for Beam Radiation, Hourly Diffuse Component, Tilt factor for Diffused Radiation, Concentrator Aperture & Length of Concentrator. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Instantaneous Collection Efficiency = Useful Heat Gain/(Hourly Beam Component*Tilt Factor for Beam Radiation*Concentrator Aperture*Length of Concentrator)
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