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Mean temperature of plate below Formula

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Mean Temperature of Plate below is the average temperature of the plate in a solar air heater, which affects the heat transfer and overall efficiency. Check FAQs

T bm = \frac{h r \cdot T pm + h fb \cdot T f}{h r + h fb}

T_bm - Mean Temperature of Plate below?h_r - Equivalent Radiative Heat Transfer Coefficient?T_pm - Average Temperature of Absorber Plate?h_fb - Convective Heat Transfer Coeff of Solar Bottom?T_f - Average of Inlet and Outlet Temperature of fluid?

Mean temperature of plate below Example

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

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

38.9649 = \frac{1.1624 \cdot 107.69 + 3.2 \cdot 14}{1.1624 + 3.2}

38.9649K = \frac{1.1624W/m²*K \cdot 107.69K + 3.2W/m²*K \cdot 14K}{1.1624W/m²*K + 3.2W/m²*K}

38.9649 = \frac{1.1624 \cdot 107.69 + 3.2 \cdot 14}{1.1624 + 3.2}

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Mean temperature of plate below Solution

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

FIRST Step Consider the formula

T bm = \frac{h r \cdot T pm + h fb \cdot T f}{h r + h fb}

Next Step Substitute values of Variables

∴

T bm = \frac{1.1624W/m²*K \cdot 107.69K + 3.2W/m²*K \cdot 14K}{1.1624W/m²*K + 3.2W/m²*K}

Next Step Prepare to Evaluate

∴

T bm = \frac{1.1624 \cdot 107.69 + 3.2 \cdot 14}{1.1624 + 3.2}

Next Step Evaluate

∴

T bm = 38.9648901241351K

LAST Step Rounding Answer

∴

T bm = 38.9649K

Mean temperature of plate below Formula Elements

Variables

Mean Temperature of Plate below

Mean Temperature of Plate below is the average temperature of the plate in a solar air heater, which affects the heat transfer and overall efficiency.

Symbol: T_bm

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Mean Temperature of Plate below

Equivalent Radiative Heat Transfer Coefficient

Equivalent Radiative Heat Transfer Coefficient is the rate of heat transfer between the solar air heater and its surroundings through radiation.

Symbol: h_r

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value can be positive or negative.

Formulas to find Equivalent Radiative Heat Transfer Coefficient

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

Convective Heat Transfer Coeff of Solar Bottom

Convective Heat Transfer Coeff of Solar Bottom is the rate of heat transfer between the solar absorber plate and the surrounding air in a solar air heater.

Symbol: h_fb

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value should be greater than 0.

Formulas to find Convective Heat Transfer Coeff of Solar Bottom

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 plate below?

Mean temperature of plate below evaluator uses Mean Temperature of Plate below = (Equivalent Radiative Heat Transfer Coefficient*Average Temperature of Absorber Plate+Convective Heat Transfer Coeff of Solar Bottom*Average of Inlet and Outlet Temperature of fluid)/(Equivalent Radiative Heat Transfer Coefficient+Convective Heat Transfer Coeff of Solar Bottom) to evaluate the Mean Temperature of Plate below, Mean temperature of plate below formula is defined as the average temperature of the plate in a solar air heater, which is a critical parameter in evaluating the performance of the heater, and it is influenced by the radiative heat transfer and convective heat transfer coefficients. Mean Temperature of Plate below is denoted by T_bm symbol.

How to evaluate Mean temperature of plate below using this online evaluator? To use this online evaluator for Mean temperature of plate below, enter Equivalent Radiative Heat Transfer Coefficient (h_r), Average Temperature of Absorber Plate (T_pm), Convective Heat Transfer Coeff of Solar Bottom (h_fb) & Average of Inlet and Outlet Temperature of fluid (T_f) and hit the calculate button.

FAQs on Mean temperature of plate below

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

The formula of Mean temperature of plate below is expressed as Mean Temperature of Plate below = (Equivalent Radiative Heat Transfer Coefficient*Average Temperature of Absorber Plate+Convective Heat Transfer Coeff of Solar Bottom*Average of Inlet and Outlet Temperature of fluid)/(Equivalent Radiative Heat Transfer Coefficient+Convective Heat Transfer Coeff of Solar Bottom). Here is an example- 38.96489 = (1.162423*107.69+3.2*14)/(1.162423+3.2).

How to calculate Mean temperature of plate below?

With Equivalent Radiative Heat Transfer Coefficient (h_r), Average Temperature of Absorber Plate (T_pm), Convective Heat Transfer Coeff of Solar Bottom (h_fb) & Average of Inlet and Outlet Temperature of fluid (T_f) we can find Mean temperature of plate below using the formula - Mean Temperature of Plate below = (Equivalent Radiative Heat Transfer Coefficient*Average Temperature of Absorber Plate+Convective Heat Transfer Coeff of Solar Bottom*Average of Inlet and Outlet Temperature of fluid)/(Equivalent Radiative Heat Transfer Coefficient+Convective Heat Transfer Coeff of Solar Bottom).

Can the Mean temperature of plate below be negative?

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

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

Mean temperature of plate below 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 plate below can be measured.

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Mean temperature of plate below Formula

Mean temperature of plate below Example

Mean temperature of plate below Solution

Mean temperature of plate below Formula Elements

Other formulas in Solar Air Heater category

How to Evaluate Mean temperature of plate below?

FAQs on Mean temperature of plate below

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