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))
de = (4*(W*L-δf*Lf))/(2*(W+Lf))
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 the space between the fins in a solar air heater that facilitates airflow and heat transfer from the absorber plate.
Distance between Absorber and Bottom Plate - (Measured in Meter) - Distance between Absorber and Bottom Plate is the gap between the absorber plate and the bottom plate in a solar air heater, affecting heat transfer and efficiency.
Thickness of Fin - (Measured in Meter) - Thickness of Fin is the dimension of the metal plate in a solar air heater that absorbs solar radiation to heat the air flowing through it.
Fin Height - (Measured in Meter) - Fin Height is the vertical distance of the fins in a solar air heater, which affects the heat transfer and overall efficiency of the system.
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
de = (4*(W*L-δf*Lf))/(2*(W+Lf)) --> (4*(0.03*0.015-0.004*0.012))/(2*(0.03+0.012))
Evaluating ... ...
de = 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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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

Equivalent Diameter of fin channel Formula

​LaTeX ​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))
de = (4*(W*L-δf*Lf))/(2*(W+Lf))

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, Equivalent Diameter of fin channel formula is defined as a measure of the hydraulic diameter of a fin channel in a solar air heater, which is a critical parameter in designing and optimizing the performance of the heater. Equivalent Diameter of Fin Channel is denoted by de 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 f) & Fin Height (Lf) 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?
Equivalent Diameter of fin channel formula is defined as a measure of the hydraulic diameter of a fin channel in a solar air heater, which is a critical parameter in designing and optimizing the performance of the heater and is represented as de = (4*(W*L-δf*Lf))/(2*(W+Lf)) 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 the space between the fins in a solar air heater that facilitates airflow and heat transfer from the absorber plate, Distance between Absorber and Bottom Plate is the gap between the absorber plate and the bottom plate in a solar air heater, affecting heat transfer and efficiency, Thickness of Fin is the dimension of the metal plate in a solar air heater that absorbs solar radiation to heat the air flowing through it & Fin Height is the vertical distance of the fins in a solar air heater, which affects the heat transfer and overall efficiency of the system.
How to calculate Equivalent Diameter of fin channel?
Equivalent Diameter of fin channel formula is defined as a measure of the hydraulic diameter of a fin channel in a solar air heater, which is a critical parameter in designing and optimizing the performance of the heater 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 f) & Fin Height (Lf). 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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