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Useful heat gain when collection efficiency is present Calculator

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✖The Instantaneous Collection Efficiency is the measure of how effectively a solar collector converts sunlight into usable energy at a specific moment in time.ⓘ Instantaneous Collection Efficiency [η_i]			+10% -10%
✖The Hourly Beam Component is the amount of solar radiation received per hour on a surface, crucial for optimizing the performance of solar energy systems.ⓘ Hourly Beam Component [I_b]			+10% -10%
✖The Tilt Factor for Beam Radiation is a measure that indicates how the angle of a solar collector affects the amount of direct sunlight it receives.ⓘ Tilt Factor for Beam Radiation [r_b]			+10% -10%
✖The Hourly Diffuse Component is the amount of solar radiation received per hour that is scattered and diffused by the atmosphere, impacting solar energy collection efficiency.ⓘ Hourly Diffuse Component [I_d]			+10% -10%
✖The Tilt factor for Diffused Radiation is a measure that adjusts the amount of diffused solar radiation received by a surface based on its angle of inclination.ⓘ Tilt factor for Diffused Radiation [r_d]			+10% -10%
✖The Concentrator Aperture is the opening through which sunlight enters a solar concentrator, playing a crucial role in capturing and directing solar energy for conversion.ⓘ Concentrator Aperture [W]			+10% -10%
✖The Length of Concentrator is the measurement of the physical extent of a solar concentrator, which focuses sunlight onto a receiver for energy conversion.ⓘ Length of Concentrator [L]			+10% -10%

✖The Useful Heat Gain is the amount of thermal energy collected by a solar concentrating system, contributing to the efficiency of solar energy conversion.ⓘ Useful heat gain when collection efficiency is present [q_u]

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Useful heat gain when collection efficiency is present Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
q_u = η_i*(I_b*r_b+I_d*r_d)*W*L
This formula uses 8 Variables

Variables Used

Useful Heat Gain - (Measured in Watt) - The Useful Heat Gain is the amount of thermal energy collected by a solar concentrating system, contributing to the efficiency of solar energy conversion.
Instantaneous Collection Efficiency - The Instantaneous Collection Efficiency is the measure of how effectively a solar collector converts sunlight into usable energy at a specific moment in time.
Hourly Beam Component - (Measured in Watt per Square Meter) - The Hourly Beam Component is the amount of solar radiation received per hour on a surface, crucial for optimizing the performance of solar energy systems.
Tilt Factor for Beam Radiation - The Tilt Factor for Beam Radiation is a measure that indicates how the angle of a solar collector affects the amount of direct sunlight it receives.
Hourly Diffuse Component - (Measured in Watt per Square Meter) - The Hourly Diffuse Component is the amount of solar radiation received per hour that is scattered and diffused by the atmosphere, impacting solar energy collection efficiency.
Tilt factor for Diffused Radiation - The Tilt factor for Diffused Radiation is a measure that adjusts the amount of diffused solar radiation received by a surface based on its angle of inclination.
Concentrator Aperture - (Measured in Meter) - The Concentrator Aperture is the opening through which sunlight enters a solar concentrator, playing a crucial role in capturing and directing solar energy for conversion.
Length of Concentrator - (Measured in Meter) - The Length of Concentrator is the measurement of the physical extent of a solar concentrator, which focuses sunlight onto a receiver for energy conversion.

STEP 1: Convert Input(s) to Base Unit

Instantaneous Collection Efficiency: 0.783069 --> 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: 1.38513E-06 --> 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

q_u = η_i*(I_b*r_b+I_d*r_d)*W*L --> 0.783069*(180*0.25+9*1.38513E-06)*7*15

Evaluating ... ...

q_u = 3700.00204999648

STEP 3: Convert Result to Output's Unit

3700.00204999648 Watt --> No Conversion Required

FINAL ANSWER

3700.00204999648 ≈ 3700.002 Watt <-- Useful Heat Gain

(Calculation completed in 00.020 seconds)

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< Concentrating Collectors Calculators

Inclination of reflectors

LaTeX Go Inclination of Reflector = (pi-Tilt Angle-2*Latitude Angle+2*Declination Angle)/3

Useful heat gain in concentrating collector

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 for 3D))

Maximum possible concentration ratio of 2-D concentrator

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

Useful heat gain when collection efficiency is present Formula

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What is Instantaneous Collection Efficiency?

Instantaneous collection efficiency is the ratio of useful thermal energy gained by a solar collector to the total solar energy incident on its surface at a specific moment. It reflects the collector's performance under prevailing conditions, including solar intensity, ambient temperature, and heat losses. This efficiency helps evaluate the real-time effectiveness of solar thermal systems in converting solar energy into usable heat.

How to Calculate Useful heat gain when collection efficiency is present?

Useful heat gain when collection efficiency is present calculator uses 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 to calculate the Useful Heat Gain, The Useful heat gain when collection efficiency is present formula is defined as the amount of heat absorbed from the incident radiation from the sun which has further applications. Useful Heat Gain is denoted by q_u symbol.

How to calculate Useful heat gain when collection efficiency is present using this online calculator? To use this online calculator for Useful heat gain when collection efficiency is present, enter Instantaneous Collection Efficiency (η_i), Hourly Beam Component (I_b), Tilt Factor for Beam Radiation (r_b), Hourly Diffuse Component (I_d), Tilt factor for Diffused Radiation (r_d), Concentrator Aperture (W) & Length of Concentrator (L) and hit the calculate button. Here is how the Useful heat gain when collection efficiency is present calculation can be explained with given input values -> 7318.602 = 0.783069*(180*0.25+9*1.38513E-06)*7*15.

FAQ

What is Useful heat gain when collection efficiency is present?

The Useful heat gain when collection efficiency is present formula is defined as the amount of heat absorbed from the incident radiation from the sun which has further applications and is represented as q_u = η_i*(I_b*r_b+I_d*r_d)*W*L or 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. The Instantaneous Collection Efficiency is the measure of how effectively a solar collector converts sunlight into usable energy at a specific moment in time, The Hourly Beam Component is the amount of solar radiation received per hour on a surface, crucial for optimizing the performance of solar energy systems, The Tilt Factor for Beam Radiation is a measure that indicates how the angle of a solar collector affects the amount of direct sunlight it receives, The Hourly Diffuse Component is the amount of solar radiation received per hour that is scattered and diffused by the atmosphere, impacting solar energy collection efficiency, The Tilt factor for Diffused Radiation is a measure that adjusts the amount of diffused solar radiation received by a surface based on its angle of inclination, The Concentrator Aperture is the opening through which sunlight enters a solar concentrator, playing a crucial role in capturing and directing solar energy for conversion & The Length of Concentrator is the measurement of the physical extent of a solar concentrator, which focuses sunlight onto a receiver for energy conversion.

How to calculate Useful heat gain when collection efficiency is present?

The Useful heat gain when collection efficiency is present formula is defined as the amount of heat absorbed from the incident radiation from the sun which has further applications is calculated using 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. To calculate Useful heat gain when collection efficiency is present, you need Instantaneous Collection Efficiency (η_i), Hourly Beam Component (I_b), Tilt Factor for Beam Radiation (r_b), Hourly Diffuse Component (I_d), Tilt factor for Diffused Radiation (r_d), Concentrator Aperture (W) & Length of Concentrator (L). With our tool, you need to enter the respective value for Instantaneous Collection Efficiency, 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 Useful Heat Gain?

In this formula, Useful Heat Gain uses Instantaneous Collection Efficiency, Hourly Beam Component, Tilt Factor for Beam Radiation, Hourly Diffuse Component, Tilt factor for Diffused Radiation, Concentrator Aperture & Length of Concentrator. We can use 3 other way(s) to calculate the same, which is/are as follows -

Useful Heat Gain = Effective Area of Aperture*Solar Beam Radiation-Heat Loss from Collector
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 = (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)))

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