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Mean temperature of absorber plate Calculator

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✖Flux Absorbed by Plate is the amount of solar energy absorbed by the plate in a solar air heater, which is used to heat the air for various applications.ⓘ 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%
✖Ambient Air Temperature is the temperature of the air surrounding the solar air heater, which affects the system's overall performance and efficiency.ⓘ Ambient Air Temperature [T_a]			+10% -10%
✖Effective Heat Transfer Coefficient is the rate of heat transfer between the solar air heater and the surrounding air, affecting its overall performance.ⓘ Effective Heat Transfer Coefficient [h_e]			+10% -10%
✖Average of Inlet and Outlet Temperature of fluid is the mean temperature of the fluid at the inlet and outlet points of a solar air heater.ⓘ Average of Inlet and Outlet Temperature of fluid [T_f]			+10% -10%

✖Average Temperature of Absorber Plate is the average temperature of the absorber plate in a solar air heater, which affects the overall system efficiency.ⓘ Mean temperature of absorber plate [T_pm]

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Mean temperature of absorber plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Temperature of Absorber Plate = (Flux Absorbed by Plate+Overall Loss Coefficient*Ambient Air Temperature+Effective Heat Transfer Coefficient*Average of Inlet and Outlet Temperature of fluid)/(Overall Loss Coefficient+Effective Heat Transfer Coefficient)
T_pm = (S_flux+U_l*T_a+h_e*T_f)/(U_l+h_e)
This formula uses 6 Variables

Variables Used

Average Temperature of Absorber Plate - (Measured in Kelvin) - Average Temperature of Absorber Plate is the average temperature of the absorber plate in a solar air heater, which affects the overall system efficiency.
Flux Absorbed by Plate - (Measured in Watt per Square Meter) - Flux Absorbed by Plate is the amount of solar energy absorbed by the plate in a solar air heater, which is used to heat the air for various applications.
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) - Ambient Air Temperature is the temperature of the air surrounding the solar air heater, which affects the system's overall performance and efficiency.
Effective Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Effective Heat Transfer Coefficient is the rate of heat transfer between the solar air heater and the surrounding air, affecting its overall performance.
Average of Inlet and Outlet Temperature of fluid - (Measured in Kelvin) - Average of Inlet and Outlet Temperature of fluid is the mean temperature of the fluid at the inlet and outlet points of a solar air heater.

STEP 1: Convert Input(s) to Base Unit

Flux Absorbed by Plate: 261.1052 Joule per Second per Square Meter --> 261.1052 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
Effective Heat Transfer Coefficient: 5.352681 Watt per Square Meter per Kelvin --> 5.352681 Watt per Square Meter per Kelvin No Conversion Required
Average of Inlet and Outlet Temperature of fluid: 14 Kelvin --> 14 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_pm = (S_flux+U_l*T_a+h_e*T_f)/(U_l+h_e) --> (261.1052+1.25*300+5.352681*14)/(1.25+5.352681)

Evaluating ... ...

T_pm = 107.690002591372

STEP 3: Convert Result to Output's Unit

107.690002591372 Kelvin --> No Conversion Required

FINAL ANSWER

107.690002591372 ≈ 107.69 Kelvin <-- Average Temperature of Absorber Plate

(Calculation completed in 00.004 seconds)

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Created by ADITYA RAWAT

DIT UNIVERSITY (DITU), Dehradun

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Effective heat transfer coefficient for variation

LaTeX Go Effective Heat Transfer Coefficient = Convective Heat Transfer Coeff of Solar*(1+(2*Fin Height*Fin Effectiveness*Convective Heat Transfer Coeff of Solar Fin)/(Distance between Fins*Convective Heat Transfer Coeff of Solar))+(Equivalent Radiative Heat Transfer Coefficient*Convective Heat Transfer Coeff of Solar Bottom)/(Equivalent Radiative Heat Transfer Coefficient+Convective Heat Transfer Coeff of Solar Bottom)

Effective heat transfer coefficient

LaTeX Go Effective Heat Transfer Coefficient = Convective Heat Transfer Coeff of Solar+(Equivalent Radiative Heat Transfer Coefficient*Convective Heat Transfer Coeff of Solar Bottom)/(Equivalent Radiative Heat Transfer Coefficient+Convective Heat Transfer Coeff of Solar Bottom)

Equivalent radiative heat transfer coefficient

LaTeX Go Equivalent Radiative Heat Transfer Coefficient = (4*[Stefan-BoltZ]*(Average Temperature of Absorber Plate+Mean Temperature of Plate below)^3)/((1/Emissivity of Absorber Plate Surface)+(1/Emissivity of Bottom Plate Surface)-1*(8))

Collector efficiency factor

LaTeX Go Collector Efficiency Factor = (1+Overall Loss Coefficient/Effective Heat Transfer Coefficient)^-1

Mean temperature of absorber plate Formula

LaTeX Go

What is the purpose of the Absorber Plate in a Flat Plate Collector?

Flat-plate collectors are equipped with an absorber plate characterized by a high absorptivity (achieved through black paint or special coatings) which is exposed to solar radiation. This plate absorbs a large portion of the incoming energy and transfers it to the circulating fluid going through internal passageways.

How to Calculate Mean temperature of absorber plate?

Mean temperature of absorber plate calculator uses Average Temperature of Absorber Plate = (Flux Absorbed by Plate+Overall Loss Coefficient*Ambient Air Temperature+Effective Heat Transfer Coefficient*Average of Inlet and Outlet Temperature of fluid)/(Overall Loss Coefficient+Effective Heat Transfer Coefficient) to calculate the Average Temperature of Absorber Plate, Mean temperature of absorber plate formula is defined as the average temperature of the absorber plate in a solar air heater, which is a critical parameter in determining the performance of the heater, and is influenced by factors such as solar flux, ambient temperature, and heat transfer coefficients. Average Temperature of Absorber Plate is denoted by T_pm symbol.

How to calculate Mean temperature of absorber plate using this online calculator? To use this online calculator for Mean temperature of absorber plate, enter Flux Absorbed by Plate (S_flux), Overall Loss Coefficient (U_l), Ambient Air Temperature (T_a), Effective Heat Transfer Coefficient (h_e) & Average of Inlet and Outlet Temperature of fluid (T_f) and hit the calculate button. Here is how the Mean temperature of absorber plate calculation can be explained with given input values -> 107.69 = (261.1052+1.25*300+5.352681*14)/(1.25+5.352681).

FAQ

What is Mean temperature of absorber plate?

Mean temperature of absorber plate formula is defined as the average temperature of the absorber plate in a solar air heater, which is a critical parameter in determining the performance of the heater, and is influenced by factors such as solar flux, ambient temperature, and heat transfer coefficients and is represented as T_pm = (S_flux+U_l*T_a+h_e*T_f)/(U_l+h_e) or Average Temperature of Absorber Plate = (Flux Absorbed by Plate+Overall Loss Coefficient*Ambient Air Temperature+Effective Heat Transfer Coefficient*Average of Inlet and Outlet Temperature of fluid)/(Overall Loss Coefficient+Effective Heat Transfer Coefficient). Flux Absorbed by Plate is the amount of solar energy absorbed by the plate in a solar air heater, which is used to heat the air for various applications, 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 is the temperature of the air surrounding the solar air heater, which affects the system's overall performance and efficiency, Effective Heat Transfer Coefficient is the rate of heat transfer between the solar air heater and the surrounding air, affecting its overall performance & Average of Inlet and Outlet Temperature of fluid is the mean temperature of the fluid at the inlet and outlet points of a solar air heater.

How to calculate Mean temperature of absorber plate?

Mean temperature of absorber plate formula is defined as the average temperature of the absorber plate in a solar air heater, which is a critical parameter in determining the performance of the heater, and is influenced by factors such as solar flux, ambient temperature, and heat transfer coefficients is calculated using Average Temperature of Absorber Plate = (Flux Absorbed by Plate+Overall Loss Coefficient*Ambient Air Temperature+Effective Heat Transfer Coefficient*Average of Inlet and Outlet Temperature of fluid)/(Overall Loss Coefficient+Effective Heat Transfer Coefficient). To calculate Mean temperature of absorber plate, you need Flux Absorbed by Plate (S_flux), Overall Loss Coefficient (U_l), Ambient Air Temperature (T_a), Effective Heat Transfer Coefficient (h_e) & Average of Inlet and Outlet Temperature of fluid (T_f). With our tool, you need to enter the respective value for Flux Absorbed by Plate, Overall Loss Coefficient, Ambient Air Temperature, Effective Heat Transfer Coefficient & Average of Inlet and Outlet Temperature of fluid 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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