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Equivalent radiative heat transfer coefficient Formula

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

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

h_r - Equivalent Radiative Heat Transfer Coefficient?T_pm - Average Temperature of Absorber Plate?T_bm - Mean Temperature of Plate below?ε_p - Emissivity of Absorber Plate Surface?ε_b - Emissivity of Bottom Plate Surface?[Stefan-BoltZ] - Stefan-Boltzmann Constant?

Equivalent radiative heat transfer coefficient Example

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Here is how the Equivalent radiative heat transfer coefficient equation looks like with Values.

Here is how the Equivalent radiative heat transfer coefficient equation looks like with Units.

Here is how the Equivalent radiative heat transfer coefficient equation looks like.

1.1624 = \frac{4 \cdot 5.7E-8 \cdot {(107.69 + 38.9649)}^{3}}{(\frac{1}{0.2}) + (\frac{1}{0.2766}) - 1 \cdot (8)}

1.1624W/m²*K = \frac{4 \cdot 5.7E-8 \cdot {(107.69K + 38.9649K)}^{3}}{(\frac{1}{0.2}) + (\frac{1}{0.2766}) - 1 \cdot (8)}

1.1624 = \frac{4 \cdot 5.7E-8 \cdot {(107.69 + 38.9649)}^{3}}{(\frac{1}{0.2}) + (\frac{1}{0.2766}) - 1 \cdot (8)}

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Equivalent radiative heat transfer coefficient Solution

Follow our step by step solution on how to calculate Equivalent radiative heat transfer coefficient?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h r = \frac{4 \cdot [Stefan-BoltZ] \cdot {(107.69K + 38.9649K)}^{3}}{(\frac{1}{0.2}) + (\frac{1}{0.2766}) - 1 \cdot (8)}

Next Step Substitute values of Constants

∴

h r = \frac{4 \cdot 5.7E-8 \cdot {(107.69K + 38.9649K)}^{3}}{(\frac{1}{0.2}) + (\frac{1}{0.2766}) - 1 \cdot (8)}

Next Step Prepare to Evaluate

∴

h r = \frac{4 \cdot 5.7E-8 \cdot {(107.69 + 38.9649)}^{3}}{(\frac{1}{0.2}) + (\frac{1}{0.2766}) - 1 \cdot (8)}

Next Step Evaluate

∴

h r = 1.16241493266763W/m²*K

LAST Step Rounding Answer

∴

h r = 1.1624W/m²*K

Equivalent radiative heat transfer coefficient Formula Elements

Variables

Constants

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

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

Emissivity of Absorber Plate Surface

Emissivity of Absorber Plate Surface is a measure of the ability of the absorber plate surface to emit heat in a solar air heater.

Symbol: ε_p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Emissivity of Absorber Plate Surface

Emissivity of Bottom Plate Surface

Emissivity of Bottom Plate Surface is a measure of the ability of the bottom plate surface of a solar air heater to emit heat by radiation.

Symbol: ε_b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Emissivity of Bottom Plate Surface

Stefan-Boltzmann Constant

Stefan-Boltzmann Constant relates the total energy radiated by a perfect black body to its temperature and is fundamental in understanding blackbody radiation and astrophysics.

Symbol: [Stefan-BoltZ]

Value: 5.670367E-8

Other formulas in Solar Air Heater category

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}

Go Incident flux when flow is between Cover and Absorber plate

S flux = h fp \cdot (T pm - T fi) + (h r \cdot (T pm - T c)) + (U b \cdot (T pm - T a))

How to Evaluate Equivalent radiative heat transfer coefficient?

Equivalent radiative heat transfer coefficient evaluator uses 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)) to evaluate the Equivalent Radiative Heat Transfer Coefficient, Equivalent radiative heat transfer coefficient formula is defined as a measure of the heat transfer rate between two surfaces due to radiation, considering the emissivity of both surfaces and the average temperature of the plates in a solar air heater. Equivalent Radiative Heat Transfer Coefficient is denoted by h_r symbol.

How to evaluate Equivalent radiative heat transfer coefficient using this online evaluator? To use this online evaluator for Equivalent radiative heat transfer coefficient, enter Average Temperature of Absorber Plate (T_pm), Mean Temperature of Plate below (T_bm), Emissivity of Absorber Plate Surface (ε_p) & Emissivity of Bottom Plate Surface (ε_b) and hit the calculate button.

FAQs on Equivalent radiative heat transfer coefficient

What is the formula to find Equivalent radiative heat transfer coefficient?

The formula of Equivalent radiative heat transfer coefficient is expressed as 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)). Here is an example- 0.015684 = (4*[Stefan-BoltZ]*(107.69+38.96489)^3)/((1/0.2)+(1/0.27659)-1*(8)).

How to calculate Equivalent radiative heat transfer coefficient?

With Average Temperature of Absorber Plate (T_pm), Mean Temperature of Plate below (T_bm), Emissivity of Absorber Plate Surface (ε_p) & Emissivity of Bottom Plate Surface (ε_b) we can find Equivalent radiative heat transfer coefficient using the formula - 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)). This formula also uses Stefan-Boltzmann Constant .

Can the Equivalent radiative heat transfer coefficient be negative?

Yes, the Equivalent radiative heat transfer coefficient, measured in Heat Transfer Coefficient can be negative.

Which unit is used to measure Equivalent radiative heat transfer coefficient?

Equivalent radiative heat transfer coefficient is usually measured using the Watt per Square Meter per Kelvin[W/m²*K] for Heat Transfer Coefficient. Watt per Square Meter per Celcius[W/m²*K], Joule per Second per Square Meter per Kelvin[W/m²*K], Kilocalorie (IT) per Hour per Square Foot per Celcius[W/m²*K] are the few other units in which Equivalent radiative heat transfer coefficient can be measured.

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Equivalent radiative heat transfer coefficient Formula

Equivalent radiative heat transfer coefficient Example

Equivalent radiative heat transfer coefficient Solution

Equivalent radiative heat transfer coefficient Formula Elements

Other formulas in Solar Air Heater category

How to Evaluate Equivalent radiative heat transfer coefficient?

FAQs on Equivalent radiative heat transfer coefficient

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