Equivalent radiative heat transfer coefficient Calculator

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✖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%
✖Mean temperature of plate below is the mean temperature of the plate below the absorber plate.ⓘ Mean Temperature of Plate below [T_bm]			+10% -10%
✖Emissivity of absorber plate surface is the calculation of how much radiation an object emits at a given temperature compared to a blackbody at the same temperature.ⓘ Emissivity of absorber plate surface [ε_p]			+10% -10%
✖Emissivity of bottom plate surface is the calculation of how much radiation an object emits at a given temperature compared to a blackbody at the same temperature.ⓘ Emissivity of bottom plate surface [ε_b]			+10% -10%

✖Equivalent radiative heat transfer coefficient is defined as the overall heat transfer coefficient, which tells how well heat is conducted through over a series of resistant mediums.ⓘ Equivalent radiative heat transfer coefficient [h_r]

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Formula

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Equivalent radiative heat transfer coefficient

Formula

`"h"_{"r"} = (4*"[Stefan-BoltZ]"*("T"_{"pm"}+"T"_{"bm"})^3)/((1/"ε"_{"p"})+(1/"ε"_{"b"})-1*8)`

Example

`"-15.004318W/m²*K"=(4*"[Stefan-BoltZ]"*("310K"+"11K")^3)/((1/"0.2")+(1/"0.4")-1*8)`

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Equivalent radiative heat transfer coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
h_r = (4*[Stefan-BoltZ]*(T_pm+T_bm)^3)/((1/ε_p)+(1/ε_b)-1*8)
This formula uses 1 Constants, 5 Variables

Constants Used

[Stefan-BoltZ] - Stefan-Boltzmann Constant Value Taken As 5.670367E-8

Variables Used

Equivalent radiative heat transfer coefficient - (Measured in Watt per Square Meter per Kelvin) - Equivalent radiative heat transfer coefficient is defined as the overall heat transfer coefficient, which tells how well heat is conducted through over a series of resistant mediums.
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.
Mean Temperature of Plate below - (Measured in Kelvin) - Mean temperature of plate below is the mean temperature of the plate below the absorber plate.
Emissivity of absorber plate surface - Emissivity of absorber plate surface is the calculation of how much radiation an object emits at a given temperature compared to a blackbody at the same temperature.
Emissivity of bottom plate surface - Emissivity of bottom plate surface is the calculation of how much radiation an object emits at a given temperature compared to a blackbody at the same temperature.

STEP 1: Convert Input(s) to Base Unit

Average temperature of absorber plate: 310 Kelvin --> 310 Kelvin No Conversion Required
Mean Temperature of Plate below: 11 Kelvin --> 11 Kelvin No Conversion Required
Emissivity of absorber plate surface: 0.2 --> No Conversion Required
Emissivity of bottom plate surface: 0.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_r = (4*[Stefan-BoltZ]*(T_pm+T_bm)^3)/((1/ε_p)+(1/ε_b)-1*8) --> (4*[Stefan-BoltZ]*(310+11)^3)/((1/0.2)+(1/0.4)-1*8)

Evaluating ... ...

h_r = -15.004317745687

STEP 3: Convert Result to Output's Unit

-15.004317745687 Watt per Square Meter per Kelvin --> No Conversion Required

FINAL ANSWER

-15.004317745687 ≈ -15.004318 Watt per Square Meter per Kelvin <-- Equivalent radiative heat transfer coefficient

(Calculation completed in 00.004 seconds)

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Created by ADITYA RAWAT

DIT UNIVERSITY (DITU), Dehradun

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National Institute Of Technology (NIT), Hamirpur

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< 8 Solar Air Heater Calculators

Effective heat transfer coefficient for variation

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)

Incident flux when flow is between Cover and Absorber plate

Go Flux absorbed by plate = Convective heat transfer Coeff of solar*(Average temperature of absorber plate-Inlet fluid temperature flat plate collector)+(Equivalent radiative heat transfer coefficient*(Average temperature of absorber plate-Temperature of Cover))+(Bottom Loss Coefficient*(Average temperature of absorber plate-Ambient Air Temperature))

Mean temperature of plate below

Go 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)

Mean temperature of absorber plate

Go 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)

Effective heat transfer coefficient

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

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)

Equivalent Diameter of fin channel

Go Equivalent diameter of fin channel = (4*(Distance between fins*Distance between absorber and bottom plate-Thickness of fin*Fin height))/(2*(Distance between fins+Fin height))

Collector efficiency factor

Go Collector Efficiency Factor = (1+Overall loss coefficient/Effective heat transfer coefficient)^-1

Equivalent radiative heat transfer coefficient Formula

What is heat transfer coefficient radiation?

Radiative heat transfer is a comparison of an actual material's emissivity to a “black body”. The radiative exchange between two gray, diffuse surfaces may be characterized by calculating the radiative heat transfer coefficient.

How to Calculate Equivalent radiative heat transfer coefficient?

Equivalent radiative heat transfer coefficient calculator 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 calculate the Equivalent radiative heat transfer coefficient, The Equivalent radiative heat transfer coefficient formula is defined as the overall heat transfer coefficient, which tells how well heat is conducted over a series of resistant mediums. Equivalent radiative heat transfer coefficient is denoted by h_r symbol.

How to calculate Equivalent radiative heat transfer coefficient using this online calculator? To use this online calculator 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. Here is how the Equivalent radiative heat transfer coefficient calculation can be explained with given input values -> -15.004318 = (4*[Stefan-BoltZ]*(310+11)^3)/((1/0.2)+(1/0.4)-1*8).

FAQ

What is Equivalent radiative heat transfer coefficient?

The Equivalent radiative heat transfer coefficient formula is defined as the overall heat transfer coefficient, which tells how well heat is conducted over a series of resistant mediums and is represented as h_r = (4*[Stefan-BoltZ]*(T_pm+T_bm)^3)/((1/ε_p)+(1/ε_b)-1*8) or 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). Average temperature of absorber plate is defined as the temperature spread across the surface area of the absorber plate, Mean temperature of plate below is the mean temperature of the plate below the absorber plate, Emissivity of absorber plate surface is the calculation of how much radiation an object emits at a given temperature compared to a blackbody at the same temperature & Emissivity of bottom plate surface is the calculation of how much radiation an object emits at a given temperature compared to a blackbody at the same temperature.

How to calculate Equivalent radiative heat transfer coefficient?

The Equivalent radiative heat transfer coefficient formula is defined as the overall heat transfer coefficient, which tells how well heat is conducted over a series of resistant mediums is calculated using 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 calculate Equivalent radiative heat transfer coefficient, you need 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). With our tool, you need to enter the respective value for Average temperature of absorber plate, Mean Temperature of Plate below, Emissivity of absorber plate surface & Emissivity of bottom plate surface 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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