Mean temperature of plate below Calculator

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✖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]			+10% -10%
✖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%
✖Convective heat transfer Coeff of solar bottom is the heat transfer coefficient between the bottom plate and the air stream.ⓘ Convective heat transfer Coeff of solar bottom [h_fb]			+10% -10%
✖Average of inlet and outlet temperature of fluid is defined as the arithmetic mean of inlet and outlet temperatures of fluid entering collector plate.ⓘ Average of Inlet and Outlet Temperature of fluid [T_f]			+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]

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Formula

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Mean temperature of plate below

Formula

`"T"_{"bm"} = ("h"_{"r"}*"T"_{"pm"}+"h"_{"fb"}*"T"_{"f"})/("h"_{"r"}+"h"_{"fb"})`

Example

`"73.2K"= ("0.8W/m²*K"*"310K"+"3.2W/m²*K"*"14K")/("0.8W/m²*K"+"3.2W/m²*K")`

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Mean temperature of plate below Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
T_bm = (h_r*T_pm+h_fb*T_f)/(h_r+h_fb)
This formula uses 5 Variables

Variables Used

Mean Temperature of Plate below - (Measured in Kelvin) - Mean temperature of plate below is the mean temperature of the plate below the absorber plate.
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.
Convective heat transfer Coeff of solar bottom - (Measured in Watt per Square Meter per Kelvin) - Convective heat transfer Coeff of solar bottom is the heat transfer coefficient between the bottom plate and the air stream.
Average of Inlet and Outlet Temperature of fluid - (Measured in Kelvin) - Average of inlet and outlet temperature of fluid is defined as the arithmetic mean of inlet and outlet temperatures of fluid entering collector plate.

STEP 1: Convert Input(s) to Base Unit

Equivalent radiative heat transfer coefficient: 0.8 Watt per Square Meter per Kelvin --> 0.8 Watt per Square Meter per Kelvin No Conversion Required
Average temperature of absorber plate: 310 Kelvin --> 310 Kelvin No Conversion Required
Convective heat transfer Coeff of solar bottom: 3.2 Watt per Square Meter per Kelvin --> 3.2 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_bm = (h_r*T_pm+h_fb*T_f)/(h_r+h_fb) --> (0.8*310+3.2*14)/(0.8+3.2)

Evaluating ... ...

T_bm = 73.2

STEP 3: Convert Result to Output's Unit

73.2 Kelvin --> No Conversion Required

FINAL ANSWER

73.2 Kelvin <-- Mean Temperature of Plate below

(Calculation completed in 00.004 seconds)

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Credits

Created by ADITYA RAWAT

DIT UNIVERSITY (DITU), Dehradun

ADITYA RAWAT has created this Calculator and 50+ more calculators!

Verified by Ravi Khiyani

Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

Ravi Khiyani has verified this Calculator and 300+ more calculators!

< 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

Mean temperature of plate below Formula

What is the principle of solar air heater?

Drawing on the principle that warm air rises and cool air sinks, the solar air heater pulls cooled air from the bottom of a room, circulates it through the solar collector where it picks up heat, then blows the warmed air back into the room.

How to Calculate Mean temperature of plate below?

Mean temperature of plate below calculator 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 calculate the Mean Temperature of Plate below, The Mean temperature of plate below formula is defined as the average temperature of the surface of plate below absorber plate. Mean Temperature of Plate below is denoted by T_bm symbol.

How to calculate Mean temperature of plate below using this online calculator? To use this online calculator 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. Here is how the Mean temperature of plate below calculation can be explained with given input values -> 73.2 = (0.8*310+3.2*14)/(0.8+3.2).

FAQ

What is Mean temperature of plate below?

The Mean temperature of plate below formula is defined as the average temperature of the surface of plate below absorber plate and is represented as T_bm = (h_r*T_pm+h_fb*T_f)/(h_r+h_fb) or 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). 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 is defined as the temperature spread across the surface area of the absorber plate, Convective heat transfer Coeff of solar bottom is the heat transfer coefficient between the bottom plate and the air stream & Average of inlet and outlet temperature of fluid is defined as the arithmetic mean of inlet and outlet temperatures of fluid entering collector plate.

How to calculate Mean temperature of plate below?

The Mean temperature of plate below formula is defined as the average temperature of the surface of plate below absorber plate is calculated using 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 calculate Mean temperature of plate below, you need 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). With our tool, you need to enter the respective value for 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 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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