Equivalent Diameter of fin channel Calculator

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Solar Air Heater

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✖Distance between fins is defined as the distance between two fins taken from their centre.ⓘ Distance between fins [W]			+10% -10%
✖Distance between absorber and bottom plate is defined as the distance between the bottom of absorber plate and the tip of bottom plate.ⓘ Distance between absorber and bottom plate [L]			+10% -10%
✖Thickness of fin is the thickness of fin on fin channel.ⓘ Thickness of fin [δ_f]			+10% -10%
✖Fin height is defined as the height of fin from base to top.ⓘ Fin height [L_f]			+10% -10%

✖Equivalent diameter of fin channel is defined as the ratio of cross-sectional area of fin channel to the wetted perimeter of fin channel.ⓘ Equivalent Diameter of fin channel [d_e]

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Formula

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Equivalent Diameter of fin channel

Formula

`"d"_{"e"} = (4*("W"*"L"-"δ"_{"f"}*"L"_{"f"}))/(2*("W"+"L"_{"f"}))`

Example

`"19.14286mm"=(4*("30mm"*"15mm"-"4mm"*"12mm"))/(2*("30mm"+"12mm"))`

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Equivalent Diameter of fin channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
d_e = (4*(W*L-δ_f*L_f))/(2*(W+L_f))
This formula uses 5 Variables

Variables Used

Equivalent diameter of fin channel - (Measured in Meter) - Equivalent diameter of fin channel is defined as the ratio of cross-sectional area of fin channel to the wetted perimeter of fin channel.
Distance between fins - (Measured in Meter) - Distance between fins is defined as the distance between two fins taken from their centre.
Distance between absorber and bottom plate - (Measured in Meter) - Distance between absorber and bottom plate is defined as the distance between the bottom of absorber plate and the tip of bottom plate.
Thickness of fin - (Measured in Meter) - Thickness of fin is the thickness of fin on fin channel.
Fin height - (Measured in Meter) - Fin height is defined as the height of fin from base to top.

STEP 1: Convert Input(s) to Base Unit

Distance between fins: 30 Millimeter --> 0.03 Meter (Check conversion here)
Distance between absorber and bottom plate: 15 Millimeter --> 0.015 Meter (Check conversion here)
Thickness of fin: 4 Millimeter --> 0.004 Meter (Check conversion here)
Fin height: 12 Millimeter --> 0.012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_e = (4*(W*L-δ_f*L_f))/(2*(W+L_f)) --> (4*(0.03*0.015-0.004*0.012))/(2*(0.03+0.012))

Evaluating ... ...

d_e = 0.0191428571428571

STEP 3: Convert Result to Output's Unit

0.0191428571428571 Meter -->19.1428571428571 Millimeter (Check conversion here)

FINAL ANSWER

19.1428571428571 ≈ 19.14286 Millimeter <-- Equivalent diameter of fin channel

(Calculation completed in 00.004 seconds)

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Created by ADITYA RAWAT

DIT UNIVERSITY (DITU), Dehradun

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

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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 Diameter of fin channel Formula

Why are fins used?

Fins are used whenever the available surface area is found insufficient to transfer required quantity of heat with available temperature gradient and heat transfer coefficient.

How to Calculate Equivalent Diameter of fin channel?

Equivalent Diameter of fin channel calculator uses 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)) to calculate the Equivalent diameter of fin channel, The Equivalent Diameter of fin channel formula is defined as the ratio of the cross-sectional area of the fin channel to the wetted perimeter of the fin channel. Equivalent diameter of fin channel is denoted by d_e symbol.

How to calculate Equivalent Diameter of fin channel using this online calculator? To use this online calculator for Equivalent Diameter of fin channel, enter Distance between fins (W), Distance between absorber and bottom plate (L), Thickness of fin (δ_f) & Fin height (L_f) and hit the calculate button. Here is how the Equivalent Diameter of fin channel calculation can be explained with given input values -> 19142.86 = (4*(0.03*0.015-0.004*0.012))/(2*(0.03+0.012)).

FAQ

What is Equivalent Diameter of fin channel?

The Equivalent Diameter of fin channel formula is defined as the ratio of the cross-sectional area of the fin channel to the wetted perimeter of the fin channel and is represented as d_e = (4*(W*L-δ_f*L_f))/(2*(W+L_f)) or 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)). Distance between fins is defined as the distance between two fins taken from their centre, Distance between absorber and bottom plate is defined as the distance between the bottom of absorber plate and the tip of bottom plate, Thickness of fin is the thickness of fin on fin channel & Fin height is defined as the height of fin from base to top.

How to calculate Equivalent Diameter of fin channel?

The Equivalent Diameter of fin channel formula is defined as the ratio of the cross-sectional area of the fin channel to the wetted perimeter of the fin channel is calculated using 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)). To calculate Equivalent Diameter of fin channel, you need Distance between fins (W), Distance between absorber and bottom plate (L), Thickness of fin (δ_f) & Fin height (L_f). With our tool, you need to enter the respective value for Distance between fins, Distance between absorber and bottom plate, Thickness of fin & Fin height 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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