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Collector heat removal factor Calculator

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✖Mass flow rate is the mass of a substance that passes per unit of time. Its unit is kilogram per second in SI units.ⓘ Mass Flow Rate [m]			+10% -10%
✖Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.ⓘ Specific Heat Capacity at Constant Pressure [C_p]			+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%
✖Gross collector area is the area of the topmost cover including the frame.ⓘ Gross Collector Area [A_c]			+10% -10%
✖Collector efficiency factor is defined as the ratio of the actual thermal collector power to the power of an ideal collector whose absorber temperature is equal to the fluid temperature.ⓘ Collector Efficiency Factor [F′]			+10% -10%

✖Collector heat removal factor is the ratio of the actual heat transfer to the maximum possible heat transfer through the collector plate.ⓘ Collector heat removal factor [F_R]

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Collector heat removal factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Collector Heat Removal Factor = (Mass Flow Rate*Specific Heat Capacity at Constant Pressure)/(Overall Loss Coefficient*Gross Collector Area)*(1-e^(-(Collector Efficiency Factor*Overall Loss Coefficient*Gross Collector Area)/(Mass Flow Rate*Specific Heat Capacity at Constant Pressure)))
F_R = (m*C_p)/(U_l*A_c)*(1-e^(-(F′*U_l*A_c)/(m*C_p)))
This formula uses 1 Constants, 6 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Variables Used

Collector Heat Removal Factor - Collector heat removal factor is the ratio of the actual heat transfer to the maximum possible heat transfer through the collector plate.
Mass Flow Rate - (Measured in Kilogram per Second) - Mass flow rate is the mass of a substance that passes per unit of time. Its unit is kilogram per second in SI units.
Specific Heat Capacity at Constant Pressure - (Measured in Joule per Kilogram per K) - Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.
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.
Gross Collector Area - (Measured in Square Meter) - Gross collector area is the area of the topmost cover including the frame.
Collector Efficiency Factor - Collector efficiency factor is defined as the ratio of the actual thermal collector power to the power of an ideal collector whose absorber temperature is equal to the fluid temperature.

STEP 1: Convert Input(s) to Base Unit

Mass Flow Rate: 5 Kilogram per Second --> 5 Kilogram per Second No Conversion Required
Specific Heat Capacity at Constant Pressure: 1.005 Kilojoule per Kilogram per K --> 1005 Joule per Kilogram per K (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
Gross Collector Area: 11 Square Meter --> 11 Square Meter No Conversion Required
Collector Efficiency Factor: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_R = (m*C_p)/(U_l*A_c)*(1-e^(-(F′*U_l*A_c)/(m*C_p))) --> (5*1005)/(1.25*11)*(1-e^(-(0.3*1.25*11)/(5*1005)))

Evaluating ... ...

F_R = 0.299876899358204

STEP 3: Convert Result to Output's Unit

0.299876899358204 --> No Conversion Required

FINAL ANSWER

0.299876899358204 ≈ 0.299877 <-- Collector Heat Removal Factor

(Calculation completed in 00.004 seconds)

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Created by ADITYA RAWAT

DIT UNIVERSITY (DITU), Dehradun

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< Liquid Flat Plate Collectors Calculators

Heat loss from collector

LaTeX Go Heat Loss from Collector = Overall Loss Coefficient*Area of Absorber Plate*(Average Temperature of Absorber Plate-Ambient Air Temperature)

Transmissivity Absorptivity product

LaTeX Go Transmissivity - Absorptivity Product = Transmissivity*Absorptivity/(1-(1-Absorptivity)*Diffuse Reflectivity)

Instantaneous collection efficiency

LaTeX Go Instantaneous Collection Efficiency = Useful Heat Gain/(Gross Collector Area*Flux Incident on Top Cover)

Useful heat gain

LaTeX Go Useful Heat Gain = Area of Absorber Plate*Flux Absorbed by Plate-Heat Loss from Collector

Collector heat removal factor 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 Collector heat removal factor?

Collector heat removal factor calculator uses Collector Heat Removal Factor = (Mass Flow Rate*Specific Heat Capacity at Constant Pressure)/(Overall Loss Coefficient*Gross Collector Area)*(1-e^(-(Collector Efficiency Factor*Overall Loss Coefficient*Gross Collector Area)/(Mass Flow Rate*Specific Heat Capacity at Constant Pressure))) to calculate the Collector Heat Removal Factor, The Collector heat removal factor 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 Collector heat removal factor using this online calculator? To use this online calculator for Collector heat removal factor, enter Mass Flow Rate (m), Specific Heat Capacity at Constant Pressure (C_p), Overall Loss Coefficient (U_l), Gross Collector Area (A_c) & Collector Efficiency Factor (F′) and hit the calculate button. Here is how the Collector heat removal factor calculation can be explained with given input values -> 0.299877 = (5*1005)/(1.25*11)*(1-e^(-(0.3*1.25*11)/(5*1005))).

FAQ

What is Collector heat removal factor?

The Collector heat removal factor 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)/(U_l*A_c)*(1-e^(-(F′*U_l*A_c)/(m*C_p))) or Collector Heat Removal Factor = (Mass Flow Rate*Specific Heat Capacity at Constant Pressure)/(Overall Loss Coefficient*Gross Collector Area)*(1-e^(-(Collector Efficiency Factor*Overall Loss Coefficient*Gross Collector Area)/(Mass Flow Rate*Specific Heat Capacity at Constant Pressure))). Mass flow rate is the mass of a substance that passes per unit of time. Its unit is kilogram per second in SI units, Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure, 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, Gross collector area is the area of the topmost cover including the frame & Collector efficiency factor is defined as the ratio of the actual thermal collector power to the power of an ideal collector whose absorber temperature is equal to the fluid temperature.

How to calculate Collector heat removal factor?

The Collector heat removal factor 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 Flow Rate*Specific Heat Capacity at Constant Pressure)/(Overall Loss Coefficient*Gross Collector Area)*(1-e^(-(Collector Efficiency Factor*Overall Loss Coefficient*Gross Collector Area)/(Mass Flow Rate*Specific Heat Capacity at Constant Pressure))). To calculate Collector heat removal factor, you need Mass Flow Rate (m), Specific Heat Capacity at Constant Pressure (C_p), Overall Loss Coefficient (U_l), Gross Collector Area (A_c) & Collector Efficiency Factor (F′). With our tool, you need to enter the respective value for Mass Flow Rate, Specific Heat Capacity at Constant Pressure, Overall Loss Coefficient, Gross Collector Area & Collector Efficiency Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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