Area of Absorber given Heat Loss from Absorber Calculator

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✖Heat loss from collector is defined as the heat losses that occur due to convection, conduction and radiation.ⓘ Heat Loss from Collector [q_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%
✖Average temperature of absorber plate is defined as the temperature spread across the surface area of the absorber plate.ⓘ Average temperature of absorber plate [T_pm]			+10% -10%
✖Ambient Air Temperature is the temperature of the surrounding medium.ⓘ Ambient Air Temperature [T_a]			+10% -10%

✖Area of absorber plate is defined as the area exposed to the sun that absorbs incident radiation .ⓘ Area of Absorber given Heat Loss from Absorber [A_p]

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Formula

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Area of Absorber given Heat Loss from Absorber

Formula

`"A"_{"p"} = "q"_{"l"}/("U"_{"l"}*("T"_{"pm"}-"T"_{"a"}))`

Example

`"0.64m²"="8W"/("1.25W/m²*K"*("310K"-"300K"))`

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Area of Absorber given Heat Loss from Absorber Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of absorber plate = Heat Loss from Collector/(Overall loss coefficient*(Average temperature of absorber plate-Ambient Air Temperature))
A_p = q_l/(U_l*(T_pm-T_a))
This formula uses 5 Variables

Variables Used

Area of absorber plate - (Measured in Square Meter) - Area of absorber plate is defined as the area exposed to the sun that absorbs incident radiation .
Heat Loss from Collector - (Measured in Watt) - Heat loss from collector is defined as the heat losses that occur due to convection, conduction and radiation.
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.
Average temperature of absorber plate - (Measured in Kelvin) - Average temperature of absorber plate is defined as the temperature spread across the surface area of the absorber plate.
Ambient Air Temperature - (Measured in Kelvin) - Ambient Air Temperature is the temperature of the surrounding medium.

STEP 1: Convert Input(s) to Base Unit

Heat Loss from Collector: 8 Watt --> 8 Watt 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
Average temperature of absorber plate: 310 Kelvin --> 310 Kelvin No Conversion Required
Ambient Air Temperature: 300 Kelvin --> 300 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_p = q_l/(U_l*(T_pm-T_a)) --> 8/(1.25*(310-300))

Evaluating ... ...

A_p = 0.64

STEP 3: Convert Result to Output's Unit

0.64 Square Meter --> No Conversion Required

FINAL ANSWER

0.64 Square Meter <-- Area of absorber plate

(Calculation completed in 00.004 seconds)

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< 23 Concentrating Collectors Calculators

Useful heat gain when collector efficiency factor is present

Go 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)))

Heat removal factor concentrating collector

Go 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)))

Heat removal factor in compound parabolic collector

Go 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)))

Useful heat gain rate in concentrating collector when concentration ratio is present

Go 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 in compound parabolic collector

Go Useful heat gain = Collector heat removal factor*Concentrator Aperture*Length of Concentrator*(Flux absorbed by plate-((Overall loss coefficient/Concentration ratio)*(Inlet fluid temperature flat plate collector-Ambient Air Temperature)))

Flux absorbed in compound parabolic collector

Go Flux absorbed by plate = ((Hourly beam component*Tilt Factor for Beam Radiation)+(Hourly Diffuse Component/Concentration ratio))*Transmissivity of Cover*Effective reflectivity of concentrator*Absorptivity of Absorber Surface

Instantaneous collection efficiency of concentrating collector

Go Instantaneous Collection Efficiency = Useful heat gain/((Hourly beam component*Tilt Factor for Beam Radiation+Hourly Diffuse Component*Tilt factor for diffused radiation)*Concentrator Aperture*Length of Concentrator)

Useful heat gain when collection efficiency is present

Go 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

Collector efficiency factor for compound parabolic collector

Go Collector Efficiency Factor = (Overall loss coefficient*(1/Overall loss coefficient+(Absorber Surface Width/(Number of Tubes*pi*Inner diameter absorber tube*Heat Transfer Coefficient Inside))))^-1

Area of Aperture given Useful Heat Gain

Go Effective area of aperture = Useful heat gain/(Flux absorbed by plate- (Overall loss coefficient/Concentration ratio)*(Average temperature of absorber plate-Ambient Air Temperature))

Collector efficiency factor concentrating collector

Go Collector Efficiency Factor = 1/(Overall loss coefficient*(1/Overall loss coefficient+Outer diameter of absorber tube/(Inner diameter absorber tube*Heat Transfer Coefficient Inside)))

Instantaneous collection efficiency of concentrating collector on basis of beam radiation

Go Instantaneous Collection Efficiency = Useful heat gain/(Hourly beam component*Tilt Factor for Beam Radiation*Concentrator Aperture*Length of Concentrator)

Area of absorber in central receiver collector

Go Area of Absorber in Central Receiver Collector = pi/2*Diameter of Sphere Absorber^2*(1+sin(Rim Angle)-(cos(Rim Angle)/2))

Area of Absorber given Heat Loss from Absorber

Go Area of absorber plate = Heat Loss from Collector/(Overall loss coefficient*(Average temperature of absorber plate-Ambient Air Temperature))

Concentration ratio of collector

Go Concentration ratio = (Concentrator Aperture-Outer diameter of absorber tube)/(pi*Outer diameter of absorber tube)

Inclination of reflectors

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

Solar Beam Radiation given Useful Heat Gain Rate and Heat Loss Rate from Absorber

Go Solar beam radiation = (Useful heat gain+Heat Loss from Collector)/Effective area of aperture

Useful heat gain in concentrating collector

Go Useful heat gain = Effective area of aperture*Solar beam radiation-Heat Loss from Collector

Outer Diameter of Absorber Tube given Concentration Ratio

Go Outer diameter of absorber tube = Concentrator Aperture/(Concentration ratio*pi+1)

Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio

Go Acceptance Angle = (acos(1-2/Maximum concentration ratio))/2

Maximum possible concentration ratio of 3-D concentrator

Go Maximum concentration ratio = 2/(1-cos(2*Acceptance Angle))

Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio

Go Acceptance Angle = asin(1/Maximum concentration ratio)

Maximum possible concentration ratio of 2-D concentrator

Go Maximum concentration ratio = 1/sin(Acceptance Angle)

Area of Absorber given Heat Loss from Absorber Formula

Area of absorber plate = Heat Loss from Collector/(Overall loss coefficient*(Average temperature of absorber plate-Ambient Air Temperature))
A_p = q_l/(U_l*(T_pm-T_a))

What is another way to find heat loss from absorber?

Heat loss from the absorber is actually the sum of rates of heat loss from the top, the bottom, and the sides.

How to Calculate Area of Absorber given Heat Loss from Absorber?

Area of Absorber given Heat Loss from Absorber calculator uses Area of absorber plate = Heat Loss from Collector/(Overall loss coefficient*(Average temperature of absorber plate-Ambient Air Temperature)) to calculate the Area of absorber plate, The Area of Absorber given Heat Loss from Absorber formula is defined as the area exposed to the sun that absorbs incident radiation. Area of absorber plate is denoted by A_p symbol.

How to calculate Area of Absorber given Heat Loss from Absorber using this online calculator? To use this online calculator for Area of Absorber given Heat Loss from Absorber, enter Heat Loss from Collector (q_l), Overall loss coefficient (U_l), Average temperature of absorber plate (T_pm) & Ambient Air Temperature (T_a) and hit the calculate button. Here is how the Area of Absorber given Heat Loss from Absorber calculation can be explained with given input values -> 0.64 = 8/(1.25*(310-300)).

FAQ

What is Area of Absorber given Heat Loss from Absorber?

The Area of Absorber given Heat Loss from Absorber formula is defined as the area exposed to the sun that absorbs incident radiation and is represented as A_p = q_l/(U_l*(T_pm-T_a)) or Area of absorber plate = Heat Loss from Collector/(Overall loss coefficient*(Average temperature of absorber plate-Ambient Air Temperature)). Heat loss from collector is defined as the heat losses that occur due to convection, conduction and radiation, 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, Average temperature of absorber plate is defined as the temperature spread across the surface area of the absorber plate & Ambient Air Temperature is the temperature of the surrounding medium.

How to calculate Area of Absorber given Heat Loss from Absorber?

The Area of Absorber given Heat Loss from Absorber formula is defined as the area exposed to the sun that absorbs incident radiation is calculated using Area of absorber plate = Heat Loss from Collector/(Overall loss coefficient*(Average temperature of absorber plate-Ambient Air Temperature)). To calculate Area of Absorber given Heat Loss from Absorber, you need Heat Loss from Collector (q_l), Overall loss coefficient (U_l), Average temperature of absorber plate (T_pm) & Ambient Air Temperature (T_a). With our tool, you need to enter the respective value for Heat Loss from Collector, Overall loss coefficient, Average temperature of absorber plate & Ambient Air Temperature 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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