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)
Tbm = (hr*Tpm+hfb*Tf)/(hr+hfb)
This formula uses 5 Variables
Variables Used
Mean Temperature of Plate below - (Measured in Kelvin) - 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.
Equivalent Radiative Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Equivalent Radiative Heat Transfer Coefficient is the rate of heat transfer between the solar air heater and its surroundings through radiation.
Average Temperature of Absorber Plate - (Measured in Kelvin) - Average Temperature of Absorber Plate is the average temperature of the absorber plate in a solar air heater, which affects the overall system efficiency.
Convective Heat Transfer Coeff of Solar Bottom - (Measured in Watt per Square Meter per Kelvin) - 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.
Average of Inlet and Outlet Temperature of fluid - (Measured in Kelvin) - 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.
STEP 1: Convert Input(s) to Base Unit
Equivalent Radiative Heat Transfer Coefficient: 1.162423 Watt per Square Meter per Kelvin --> 1.162423 Watt per Square Meter per Kelvin No Conversion Required
Average Temperature of Absorber Plate: 107.69 Kelvin --> 107.69 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
Tbm = (hr*Tpm+hfb*Tf)/(hr+hfb) --> (1.162423*107.69+3.2*14)/(1.162423+3.2)
Evaluating ... ...
Tbm = 38.9648901241351
STEP 3: Convert Result to Output's Unit
38.9648901241351 Kelvin --> No Conversion Required
FINAL ANSWER
38.9648901241351 38.96489 Kelvin <-- Mean Temperature of Plate below
(Calculation completed in 00.004 seconds)

Credits

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Created by ADITYA RAWAT
DIT UNIVERSITY (DITU), Dehradun
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Verified by Ravi Khiyani
Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
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Solar Air Heater Calculators

Effective heat transfer coefficient for variation
​ LaTeX ​ 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)
Effective heat transfer coefficient
​ LaTeX ​ 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
​ LaTeX ​ 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))
Collector efficiency factor
​ LaTeX ​ Go Collector Efficiency Factor = (1+Overall Loss Coefficient/Effective Heat Transfer Coefficient)^-1

Mean temperature of plate below Formula

​LaTeX ​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)
Tbm = (hr*Tpm+hfb*Tf)/(hr+hfb)

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, 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 Tbm 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 (hr), Average Temperature of Absorber Plate (Tpm), Convective Heat Transfer Coeff of Solar Bottom (hfb) & Average of Inlet and Outlet Temperature of fluid (Tf) and hit the calculate button. Here is how the Mean temperature of plate below calculation can be explained with given input values -> 38.96489 = (1.162423*107.69+3.2*14)/(1.162423+3.2).

FAQ

What is 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 and is represented as Tbm = (hr*Tpm+hfb*Tf)/(hr+hfb) 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 the rate of heat transfer between the solar air heater and its surroundings through radiation, Average Temperature of Absorber Plate is the average temperature of the absorber plate in a solar air heater, which affects the overall system efficiency, 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 & 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.
How to calculate 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 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 (hr), Average Temperature of Absorber Plate (Tpm), Convective Heat Transfer Coeff of Solar Bottom (hfb) & Average of Inlet and Outlet Temperature of fluid (Tf). 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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