HCF of three numbers

Heat removal factor concentrating collector 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 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%
✖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 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 Collector Heat Removal Factor is a measure of the efficiency of a solar collector in transferring heat to the working fluid under specific operating conditions.ⓘ Heat removal factor concentrating collector [F_R]

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Heat removal factor concentrating collector Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
F_R = ((m*C_{p molar})/(pi*D_o*L*U_l))*(1-e^(-(F′*pi*D_o*U_l*L)/(m*C_{p molar})))
This formula uses 2 Constants, 7 Variables

Constants Used

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

Variables Used

Collector Heat Removal Factor - The Collector Heat Removal Factor is a measure of the efficiency of a solar collector in transferring heat to the working fluid under specific operating conditions.
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.
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.
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.
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.

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
Outer Diameter of Absorber Tube: 1.992443 Meter --> 1.992443 Meter No Conversion Required
Length of Concentrator: 15 Meter --> 15 Meter No Conversion Required
Overall Loss Coefficient: 1.25 Watt per Square Meter per Kelvin --> 1.25 Watt per Square Meter per Kelvin No Conversion Required
Collector Efficiency Factor: 0.095 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_R = ((m*C_{p molar})/(pi*D_o*L*U_l))*(1-e^(-(F′*pi*D_o*U_l*L)/(m*C_{p molar}))) --> ((12*122)/(pi*1.992443*15*1.25))*(1-e^(-(0.095*pi*1.992443*1.25*15)/(12*122)))

Evaluating ... ...

F_R = 0.0946391627385732

STEP 3: Convert Result to Output's Unit

0.0946391627385732 --> No Conversion Required

FINAL ANSWER

0.0946391627385732 ≈ 0.094639 <-- Collector Heat Removal Factor

(Calculation completed in 00.004 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)

Heat removal factor concentrating collector Formula

LaTeX Go

Why is Collector Heat Removal Factor important?

It is an important design parameter since it is a measure of the thermal resistance encountered by the absorbed solar radiation in reaching the collector fluid.

How to Calculate Heat removal factor concentrating collector?

Heat removal factor concentrating collector calculator uses 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))) to calculate the Collector Heat Removal Factor, The Heat removal factor concentrating collector formula is defined as the ratio of the actual heat transfer to the maximum possible heat transfer through the collector plate. Collector Heat Removal Factor is denoted by F_R symbol.

How to calculate Heat removal factor concentrating collector using this online calculator? To use this online calculator for Heat removal factor concentrating collector, enter Mass Flowrate (m), Molar Specific Heat Capacity at Constant Pressure (C_{p molar}), Outer Diameter of Absorber Tube (D_o), Length of Concentrator (L), Overall Loss Coefficient (U_l) & Collector Efficiency Factor (F′) and hit the calculate button. Here is how the Heat removal factor concentrating collector calculation can be explained with given input values -> 0.094639 = ((12*122)/(pi*1.992443*15*1.25))*(1-e^(-(0.095*pi*1.992443*1.25*15)/(12*122))).

FAQ

What is Heat removal factor concentrating collector?

The Heat removal factor concentrating collector formula is defined as the ratio of the actual heat transfer to the maximum possible heat transfer through the collector plate and is represented as F_R = ((m*C_{p molar})/(pi*D_o*L*U_l))*(1-e^(-(F′*pi*D_o*U_l*L)/(m*C_{p molar}))) or 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))). 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 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, 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 Collector Efficiency Factor is a measure of how effectively a solar collector converts sunlight into usable energy, reflecting its performance in energy collection.

How to calculate Heat removal factor concentrating collector?

The Heat removal factor concentrating collector formula is defined as the ratio of the actual heat transfer to the maximum possible heat transfer through the collector plate is calculated using 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))). To calculate Heat removal factor concentrating collector, you need Mass Flowrate (m), Molar Specific Heat Capacity at Constant Pressure (C_{p molar}), Outer Diameter of Absorber Tube (D_o), Length of Concentrator (L), Overall Loss Coefficient (U_l) & Collector Efficiency Factor (F′). With our tool, you need to enter the respective value for Mass Flowrate, Molar Specific Heat Capacity at Constant Pressure, Outer Diameter of Absorber Tube, Length of Concentrator, Overall Loss Coefficient & Collector Efficiency Factor 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 Collector Heat Removal Factor?

In this formula, Collector Heat Removal Factor uses Mass Flowrate, Molar Specific Heat Capacity at Constant Pressure, Outer Diameter of Absorber Tube, Length of Concentrator, Overall Loss Coefficient & Collector Efficiency Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)))

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