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Useful heat gain when collector efficiency factor is present Calculator

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✖The Mass Flowrate is the measure of the mass of fluid passing through a given surface per unit time, essential for analyzing energy transfer in solar energy systems.ⓘ Mass Flowrate [m]			+10% -10%
✖The Molar Specific Heat Capacity at Constant Pressure is the amount of heat required to raise the temperature of one mole of a substance at constant pressure.ⓘ Molar Specific Heat Capacity at Constant Pressure [C_{p molar}]			+10% -10%
✖The Concentration Ratio is the measure of how much solar energy is concentrated by a solar collector compared to the energy received from the sun.ⓘ Concentration Ratio [C]			+10% -10%
✖The Flux Absorbed by Plate is the amount of solar energy captured by the plate of a concentrating collector, influencing its efficiency in converting sunlight to heat.ⓘ Flux Absorbed by Plate [S_flux]			+10% -10%
✖Overall loss coefficient is defined as the heat loss from collector per unit area of absorber plate and temperature difference between absorber plate and surrounding air.ⓘ Overall Loss Coefficient [U_l]			+10% -10%
✖The Ambient Air Temperature is the measure of the air temperature surrounding a solar energy system, influencing its efficiency and performance.ⓘ Ambient Air Temperature [T_a]			+10% -10%
✖The Inlet fluid Temperature Flat Plate Collector is the temperature of the fluid entering the flat plate collector, crucial for assessing the collector's efficiency in solar energy systems.ⓘ Inlet fluid Temperature Flat Plate Collector [T_fi]			+10% -10%
✖The Collector Efficiency Factor is a measure of how effectively a solar collector converts sunlight into usable energy, reflecting its performance in energy collection.ⓘ Collector Efficiency Factor [F′]			+10% -10%
✖The Outer Diameter of Absorber Tube is the measurement across the widest part of the tube that collects solar energy in concentrating solar collectors.ⓘ Outer Diameter of Absorber Tube [D_o]			+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 collector efficiency factor is present [q_u]

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Useful heat gain when collector efficiency factor is present Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
q_u = (m*C_{p molar})*(((C*S_flux)/U_l)+(T_a-T_fi))*(1-e^(-(F′*pi*D_o*U_l*L)/(m*C_{p molar})))
This formula uses 2 Constants, 11 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

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.
Mass Flowrate - (Measured in Kilogram per Second) - The Mass Flowrate is the measure of the mass of fluid passing through a given surface per unit time, essential for analyzing energy transfer in solar energy systems.
Molar Specific Heat Capacity at Constant Pressure - (Measured in Joule Per Kelvin Per Mole) - The Molar Specific Heat Capacity at Constant Pressure is the amount of heat required to raise the temperature of one mole of a substance at constant pressure.
Concentration Ratio - The Concentration Ratio is the measure of how much solar energy is concentrated by a solar collector compared to the energy received from the sun.
Flux Absorbed by Plate - (Measured in Watt per Square Meter) - The Flux Absorbed by Plate is the amount of solar energy captured by the plate of a concentrating collector, influencing its efficiency in converting sunlight to heat.
Overall Loss Coefficient - (Measured in Watt per Square Meter per Kelvin) - Overall loss coefficient is defined as the heat loss from collector per unit area of absorber plate and temperature difference between absorber plate and surrounding air.
Ambient Air Temperature - (Measured in Kelvin) - The Ambient Air Temperature is the measure of the air temperature surrounding a solar energy system, influencing its efficiency and performance.
Inlet fluid Temperature Flat Plate Collector - (Measured in Kelvin) - The Inlet fluid Temperature Flat Plate Collector is the temperature of the fluid entering the flat plate collector, crucial for assessing the collector's efficiency in solar energy systems.
Collector Efficiency Factor - The Collector Efficiency Factor is a measure of how effectively a solar collector converts sunlight into usable energy, reflecting its performance in energy collection.
Outer Diameter of Absorber Tube - (Measured in Meter) - The Outer Diameter of Absorber Tube is the measurement across the widest part of the tube that collects solar energy in concentrating solar collectors.
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

Mass Flowrate: 12 Kilogram per Second --> 12 Kilogram per Second No Conversion Required
Molar Specific Heat Capacity at Constant Pressure: 122 Joule Per Kelvin Per Mole --> 122 Joule Per Kelvin Per Mole No Conversion Required
Concentration Ratio: 0.8 --> No Conversion Required
Flux Absorbed by Plate: 98.00438 Joule per Second per Square Meter --> 98.00438 Watt per Square Meter (Check conversion here)
Overall Loss Coefficient: 1.25 Watt per Square Meter per Kelvin --> 1.25 Watt per Square Meter per Kelvin No Conversion Required
Ambient Air Temperature: 300 Kelvin --> 300 Kelvin No Conversion Required
Inlet fluid Temperature Flat Plate Collector: 124.424 Kelvin --> 124.424 Kelvin No Conversion Required
Collector Efficiency Factor: 0.095 --> No Conversion Required
Outer Diameter of Absorber Tube: 1.992443 Meter --> 1.992443 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 = (m*C_{p molar})*(((C*S_flux)/U_l)+(T_a-T_fi))*(1-e^(-(F′*pi*D_o*U_l*L)/(m*C_{p molar}))) --> (12*122)*(((0.8*98.00438)/1.25)+(300-124.424))*(1-e^(-(0.095*pi*1.992443*1.25*15)/(12*122)))

Evaluating ... ...

q_u = 2646.85287253066

STEP 3: Convert Result to Output's Unit

2646.85287253066 Watt --> No Conversion Required

FINAL ANSWER

2646.85287253066 ≈ 2646.853 Watt <-- Useful Heat Gain

(Calculation completed in 00.004 seconds)

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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 collector efficiency factor is present Formula

LaTeX Go

How do we get useful Heat Gain?

Useful heat gain is nothing but the difference between the incident ( absorbed) radiation and the heat lost due to convection, re-radiation, and conduction.

How to Calculate Useful heat gain when collector efficiency factor is present?

Useful heat gain when collector efficiency factor is present calculator uses 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))) to calculate the Useful Heat Gain, The Useful heat gain when collector efficiency factor 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 collector efficiency factor is present using this online calculator? To use this online calculator for Useful heat gain when collector efficiency factor is present, enter Mass Flowrate (m), Molar Specific Heat Capacity at Constant Pressure (C_{p molar}), Concentration Ratio (C), Flux Absorbed by Plate (S_flux), Overall Loss Coefficient (U_l), Ambient Air Temperature (T_a), Inlet fluid Temperature Flat Plate Collector (T_fi), Collector Efficiency Factor (F′), Outer Diameter of Absorber Tube (D_o) & Length of Concentrator (L) and hit the calculate button. Here is how the Useful heat gain when collector efficiency factor is present calculation can be explained with given input values -> 3917.793 = (12*122)*(((0.8*98.00438)/1.25)+(300-124.424))*(1-e^(-(0.095*pi*1.992443*1.25*15)/(12*122))).

FAQ

What is Useful heat gain when collector efficiency factor is present?

The Useful heat gain when collector efficiency factor 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 = (m*C_{p molar})*(((C*S_flux)/U_l)+(T_a-T_fi))*(1-e^(-(F′*pi*D_o*U_l*L)/(m*C_{p molar}))) or 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))). The Mass Flowrate is the measure of the mass of fluid passing through a given surface per unit time, essential for analyzing energy transfer in solar energy systems, The Molar Specific Heat Capacity at Constant Pressure is the amount of heat required to raise the temperature of one mole of a substance at constant pressure, The Concentration Ratio is the measure of how much solar energy is concentrated by a solar collector compared to the energy received from the sun, The Flux Absorbed by Plate is the amount of solar energy captured by the plate of a concentrating collector, influencing its efficiency in converting sunlight to heat, Overall loss coefficient is defined as the heat loss from collector per unit area of absorber plate and temperature difference between absorber plate and surrounding air, The Ambient Air Temperature is the measure of the air temperature surrounding a solar energy system, influencing its efficiency and performance, The Inlet fluid Temperature Flat Plate Collector is the temperature of the fluid entering the flat plate collector, crucial for assessing the collector's efficiency in solar energy systems, The Collector Efficiency Factor is a measure of how effectively a solar collector converts sunlight into usable energy, reflecting its performance in energy collection, The Outer Diameter of Absorber Tube is the measurement across the widest part of the tube that collects solar energy in concentrating solar collectors & 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 collector efficiency factor is present?

The Useful heat gain when collector efficiency factor 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 = (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))). To calculate Useful heat gain when collector efficiency factor is present, you need Mass Flowrate (m), Molar Specific Heat Capacity at Constant Pressure (C_{p molar}), Concentration Ratio (C), Flux Absorbed by Plate (S_flux), Overall Loss Coefficient (U_l), Ambient Air Temperature (T_a), Inlet fluid Temperature Flat Plate Collector (T_fi), Collector Efficiency Factor (F′), Outer Diameter of Absorber Tube (D_o) & Length of Concentrator (L). With our tool, you need to enter the respective value for 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, Collector Efficiency Factor, Outer Diameter of Absorber Tube & 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 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, Collector Efficiency Factor, Outer Diameter of Absorber Tube & 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 = Instantaneous Collection Efficiency*(Hourly Beam Component*Tilt Factor for Beam Radiation+Hourly Diffuse Component*Tilt factor for Diffused Radiation)*Concentrator Aperture*Length of Concentrator

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