## 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)))
FR = (m*Cp)/(Ul*Ac)*(1-e^(-(F′*Ul*Ac)/(m*Cp)))
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
FR = (m*Cp)/(Ul*Ac)*(1-e^(-(F′*Ul*Ac)/(m*Cp))) --> (5*1005)/(1.25*11)*(1-e^(-(0.3*1.25*11)/(5*1005)))
Evaluating ... ...
FR = 0.299876899358204
STEP 3: Convert Result to Output's Unit
0.299876899358204 --> No Conversion Required
0.299876899358204 <-- Collector heat removal factor
(Calculation completed in 00.000 seconds)
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## < 10+ Liquid Flat Plate Collectors Calculators

Collection efficiency when collector efficiency factor is present
Instantaneous Collection Efficiency = (Collector Efficiency Factor*(Area of absorber plate/Gross Collector Area)*Average Transmissivity-absorptivity Product)-(Collector Efficiency Factor*Area of absorber plate*Overall loss coefficient*(Average of Inlet and Outlet Temperature of fluid-Ambient Air Temperature)*1/Flux Incident on Top Cover)
Collection efficiency when heat removal factor is present
Instantaneous Collection Efficiency = Collector heat removal factor*(Area of absorber plate/Gross Collector Area)*(Flux absorbed by plate/Flux Incident on Top Cover-((Overall loss coefficient*(Inlet fluid temperature flat plate collector-Ambient Air Temperature))/Flux Incident on Top Cover))
Collector heat removal factor
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)))
Collection efficiency when average transmissivity-absorptivity product is present
Instantaneous Collection Efficiency = Collector heat removal factor*(Area of absorber plate/Gross Collector Area)*(Average Transmissivity-absorptivity Product-(Overall loss coefficient*(Inlet fluid temperature flat plate collector-Ambient Air Temperature))/Flux Incident on Top Cover)
Heat loss from collector
Heat Loss from Collector = Overall loss coefficient*Area of absorber plate*(Average temperature of absorber plate-Ambient Air Temperature)
Collection efficiency when fluid temperature is present
Instantaneous Collection Efficiency = (0.692-4.024*(Inlet fluid temperature flat plate collector-Ambient Air Temperature))/Flux Incident on Top Cover
Transmissivity Absorptivity product
Transmissivity - Absorptivity product = Transmissivity*Absorptivity/(1-(1-Absorptivity)*Diffuse Reflectivity)
Instantaneous collection efficiency
Instantaneous Collection Efficiency = Useful heat gain/(Gross Collector Area*Flux Incident on Top Cover)
Useful heat gain
Useful heat gain = Area of absorber plate*Flux absorbed by plate-Heat Loss from Collector
Bottom loss coefficient
Bottom Loss Coefficient = Thermal Conductivity of Insulation/Thickness of Insulation

## Collector heat removal factor Formula

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)))
FR = (m*Cp)/(Ul*Ac)*(1-e^(-(F′*Ul*Ac)/(m*Cp)))

## 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 FR 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 (Cp), Overall loss coefficient (Ul), Gross Collector Area (Ac) & 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 FR = (m*Cp)/(Ul*Ac)*(1-e^(-(F′*Ul*Ac)/(m*Cp))) 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 (Cp), Overall loss coefficient (Ul), Gross Collector Area (Ac) & 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. Let Others Know