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Mean temperature of absorber plate Formula

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Average Temperature of Absorber Plate is the average temperature of the absorber plate in a solar air heater, which affects the overall system efficiency. Check FAQs

T pm = \frac{S flux + U l \cdot T a + h e \cdot T f}{U l + h e}

T_pm - Average Temperature of Absorber Plate?S_flux - Flux Absorbed by Plate?U_l - Overall Loss Coefficient?T_a - Ambient Air Temperature?h_e - Effective Heat Transfer Coefficient?T_f - Average of Inlet and Outlet Temperature of fluid?

Mean temperature of absorber plate Example

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Here is how the Mean temperature of absorber plate equation looks like with Values.

Here is how the Mean temperature of absorber plate equation looks like with Units.

Here is how the Mean temperature of absorber plate equation looks like.

107.69 = \frac{261.1052 + 1.25 \cdot 300 + 5.3527 \cdot 14}{1.25 + 5.3527}

107.69K = \frac{261.1052J/sm² + 1.25W/m²*K \cdot 300K + 5.3527W/m²*K \cdot 14K}{1.25W/m²*K + 5.3527W/m²*K}

107.69 = \frac{261.1052 + 1.25 \cdot 300 + 5.3527 \cdot 14}{1.25 + 5.3527}

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Mean temperature of absorber plate Solution

Follow our step by step solution on how to calculate Mean temperature of absorber plate?

FIRST Step Consider the formula

T pm = \frac{S flux + U l \cdot T a + h e \cdot T f}{U l + h e}

Next Step Substitute values of Variables

∴

T pm = \frac{261.1052J/sm² + 1.25W/m²*K \cdot 300K + 5.3527W/m²*K \cdot 14K}{1.25W/m²*K + 5.3527W/m²*K}

Next Step Convert Units

∴

T pm = \frac{261.1052W/m² + 1.25W/m²*K \cdot 300K + 5.3527W/m²*K \cdot 14K}{1.25W/m²*K + 5.3527W/m²*K}

Next Step Prepare to Evaluate

∴

T pm = \frac{261.1052 + 1.25 \cdot 300 + 5.3527 \cdot 14}{1.25 + 5.3527}

Next Step Evaluate

∴

T pm = 107.690002591372K

LAST Step Rounding Answer

∴

T pm = 107.69K

Mean temperature of absorber plate Formula Elements

Variables

Average Temperature of Absorber Plate

Average Temperature of Absorber Plate is the average temperature of the absorber plate in a solar air heater, which affects the overall system efficiency.

Symbol: T_pm

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Average Temperature of Absorber Plate

Flux Absorbed by Plate

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.

Symbol: S_flux

Measurement: Heat Flux DensityUnit: J/sm²

Note: Value can be positive or negative.

Formulas to find Flux Absorbed by Plate

Overall Loss Coefficient

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.

Symbol: U_l

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value should be greater than 0.

Formulas to find Overall Loss Coefficient

Ambient Air Temperature

Ambient Air Temperature is the temperature of the air surrounding the solar air heater, which affects the system's overall performance and efficiency.

Symbol: T_a

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Ambient Air Temperature

Effective Heat Transfer Coefficient

Effective Heat Transfer Coefficient is the rate of heat transfer between the solar air heater and the surrounding air, affecting its overall performance.

Symbol: h_e

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value can be positive or negative.

Formulas to find Effective Heat Transfer Coefficient

Average of Inlet and Outlet Temperature of fluid

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.

Symbol: T_f

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Average of Inlet and Outlet Temperature of fluid

Other formulas in Solar Air Heater category

Go Equivalent radiative heat transfer coefficient

h r = \frac{4 \cdot [Stefan-BoltZ] \cdot {(T pm + T bm)}^{3}}{(\frac{1}{ε p}) + (\frac{1}{ε b}) - 1 \cdot (8)}

Go Effective heat transfer coefficient

h e = h fp + \frac{h r \cdot h fb}{h r + h fb}

Go Collector efficiency factor

F′ = {(1 + \frac{U l}{h e})}^{- 1}

Go Effective heat transfer coefficient for variation

h e = h fp \cdot (1 + \frac{2 \cdot L f \cdot Φ f \cdot h ff}{W \cdot h fp}) + \frac{h r \cdot h fb}{h r + h fb}

How to Evaluate Mean temperature of absorber plate?

Mean temperature of absorber plate evaluator 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 evaluate 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 evaluate Mean temperature of absorber plate using this online evaluator? To use this online evaluator 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.

FAQs on Mean temperature of absorber plate

What is the formula to find Mean temperature of absorber plate?

The formula of Mean temperature of absorber plate is expressed as 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). Here is an example- 107.69 = (261.1052+1.25*300+5.352681*14)/(1.25+5.352681).

How to calculate Mean temperature of absorber plate?

With 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) we can find Mean temperature of absorber plate using the formula - 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).

Can the Mean temperature of absorber plate be negative?

Yes, the Mean temperature of absorber plate, measured in Temperature can be negative.

Which unit is used to measure Mean temperature of absorber plate?

Mean temperature of absorber plate is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Mean temperature of absorber plate can be measured.

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Mean temperature of absorber plate Formula

Mean temperature of absorber plate Example

Mean temperature of absorber plate Solution

Mean temperature of absorber plate Formula Elements

Other formulas in Solar Air Heater category

How to Evaluate Mean temperature of absorber plate?

FAQs on Mean temperature of absorber plate

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