Effective heat transfer coefficient for variation Calculator

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Solar Air Heater

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✖Convective heat transfer Coeff of solar is the heat transfer coefficient between the absorber plate and the air stream.ⓘ Convective heat transfer Coeff of solar [h_fp]			+10% -10%
✖Fin height is defined as the height of fin from base to top.ⓘ Fin height [L_f]			+10% -10%
✖Fin effectiveness is the ratio of the rate of heat transfer by use of fin to the rate of heat transfer without fin.ⓘ Fin effectiveness [Φ_f]			+10% -10%
✖Convective heat transfer Coeff of solar fin is defined as the heat transfer coefficient between the fin surface and the air stream.ⓘ Convective heat transfer Coeff of solar fin [h_ff]			+10% -10%
✖Distance between fins is defined as the distance between two fins taken from their centre.ⓘ Distance between fins [W]			+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]			+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%

✖Effective heat transfer coefficient is defined as the heat transfer coefficient between the absorber plate and the air stream.ⓘ Effective heat transfer coefficient for variation [h_e]

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Formula

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Effective heat transfer coefficient for variation

Formula

`"h"_{"e"} = "h"_{"fp"}*(1+(2*"L"_{"f"}*"Φ"_{"f"}*"h"_{"ff"})/("W"*"h"_{"fp"}))+("h"_{"r"}*"h"_{"fb"})/("h"_{"r"}+"h"_{"fb"})`

Example

`"5.292W/m²*K"="4.5W/m²*K"*(1+(2*"12mm"*"0.1"*"1.9W/m²*K")/("30mm"*"4.5W/m²*K"))+("0.8W/m²*K"*"3.2W/m²*K")/("0.8W/m²*K"+"3.2W/m²*K")`

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Effective heat transfer coefficient for variation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
h_e = h_fp*(1+(2*L_f*Φ_f*h_ff)/(W*h_fp))+(h_r*h_fb)/(h_r+h_fb)
This formula uses 8 Variables

Variables Used

Effective heat transfer coefficient - (Measured in Watt per Square Meter per Kelvin) - Effective heat transfer coefficient is defined as the heat transfer coefficient between the absorber plate and the air stream.
Convective heat transfer Coeff of solar - (Measured in Watt per Square Meter per Kelvin) - Convective heat transfer Coeff of solar is the heat transfer coefficient between the absorber plate and the air stream.
Fin height - (Measured in Meter) - Fin height is defined as the height of fin from base to top.
Fin effectiveness - Fin effectiveness is the ratio of the rate of heat transfer by use of fin to the rate of heat transfer without fin.
Convective heat transfer Coeff of solar fin - (Measured in Watt per Square Meter per Kelvin) - Convective heat transfer Coeff of solar fin is defined as the heat transfer coefficient between the fin surface and the air stream.
Distance between fins - (Measured in Meter) - Distance between fins is defined as the distance between two fins taken from their centre.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Convective heat transfer Coeff of solar: 4.5 Watt per Square Meter per Kelvin --> 4.5 Watt per Square Meter per Kelvin No Conversion Required
Fin height: 12 Millimeter --> 0.012 Meter (Check conversion here)
Fin effectiveness: 0.1 --> No Conversion Required
Convective heat transfer Coeff of solar fin: 1.9 Watt per Square Meter per Kelvin --> 1.9 Watt per Square Meter per Kelvin No Conversion Required
Distance between fins: 30 Millimeter --> 0.03 Meter (Check conversion here)
Equivalent radiative heat transfer coefficient: 0.8 Watt per Square Meter per Kelvin --> 0.8 Watt per Square Meter per 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_e = h_fp*(1+(2*L_f*Φ_f*h_ff)/(W*h_fp))+(h_r*h_fb)/(h_r+h_fb) --> 4.5*(1+(2*0.012*0.1*1.9)/(0.03*4.5))+(0.8*3.2)/(0.8+3.2)

Evaluating ... ...

h_e = 5.292

STEP 3: Convert Result to Output's Unit

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

FINAL ANSWER

5.292 Watt per Square Meter per Kelvin <-- Effective heat transfer coefficient

(Calculation completed in 00.008 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

Effective heat transfer coefficient for variation Formula

What is effective heat transfer?

Effective heat transfer is defined as the ratio of the actual heat transfer to the maximum possible heat transfer.

How to Calculate Effective heat transfer coefficient for variation?

Effective heat transfer coefficient for variation calculator uses 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) to calculate the Effective heat transfer coefficient, The Effective heat transfer coefficient for variation formula is defined as the overall heat transfer coefficient, which tells how well heat is conducted through over a series of resistant mediums. Effective heat transfer coefficient is denoted by h_e symbol.

How to calculate Effective heat transfer coefficient for variation using this online calculator? To use this online calculator for Effective heat transfer coefficient for variation, enter Convective heat transfer Coeff of solar (h_fp), Fin height (L_f), Fin effectiveness (Φ_f), Convective heat transfer Coeff of solar fin (h_ff), Distance between fins (W), Equivalent radiative heat transfer coefficient (h_r) & Convective heat transfer Coeff of solar bottom (h_fb) and hit the calculate button. Here is how the Effective heat transfer coefficient for variation calculation can be explained with given input values -> 5.292 = 4.5*(1+(2*0.012*0.1*1.9)/(0.03*4.5))+(0.8*3.2)/(0.8+3.2).

FAQ

What is Effective heat transfer coefficient for variation?

The Effective heat transfer coefficient for variation formula is defined as the overall heat transfer coefficient, which tells how well heat is conducted through over a series of resistant mediums and is represented as h_e = h_fp*(1+(2*L_f*Φ_f*h_ff)/(W*h_fp))+(h_r*h_fb)/(h_r+h_fb) or 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). Convective heat transfer Coeff of solar is the heat transfer coefficient between the absorber plate and the air stream, Fin height is defined as the height of fin from base to top, Fin effectiveness is the ratio of the rate of heat transfer by use of fin to the rate of heat transfer without fin, Convective heat transfer Coeff of solar fin is defined as the heat transfer coefficient between the fin surface and the air stream, Distance between fins is defined as the distance between two fins taken from their centre, 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 & Convective heat transfer Coeff of solar bottom is the heat transfer coefficient between the bottom plate and the air stream.

How to calculate Effective heat transfer coefficient for variation?

The Effective heat transfer coefficient for variation formula is defined as the overall heat transfer coefficient, which tells how well heat is conducted through over a series of resistant mediums is calculated using 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). To calculate Effective heat transfer coefficient for variation, you need Convective heat transfer Coeff of solar (h_fp), Fin height (L_f), Fin effectiveness (Φ_f), Convective heat transfer Coeff of solar fin (h_ff), Distance between fins (W), Equivalent radiative heat transfer coefficient (h_r) & Convective heat transfer Coeff of solar bottom (h_fb). With our tool, you need to enter the respective value for Convective heat transfer Coeff of solar, Fin height, Fin effectiveness, Convective heat transfer Coeff of solar fin, Distance between fins, Equivalent radiative heat transfer coefficient & Convective heat transfer Coeff of solar bottom and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Effective heat transfer coefficient?

In this formula, Effective heat transfer coefficient uses Convective heat transfer Coeff of solar, Fin height, Fin effectiveness, Convective heat transfer Coeff of solar fin, Distance between fins, Equivalent radiative heat transfer coefficient & Convective heat transfer Coeff of solar bottom. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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