Equivalent Diameter of Circular Duct for Rectangular Duct when Quantity of Air is Same Solution

STEP 0: Pre-Calculation Summary
Formula Used
Equivalent Diameter of Duct = 1.256*((Longer Side^3*Shorter Side^3)/(Longer Side+Shorter Side))^0.2
De = 1.256*((a^3*b^3)/(a+b))^0.2
This formula uses 3 Variables
Variables Used
Equivalent Diameter of Duct - (Measured in Meter) - Equivalent Diameter of Duct is the diameter equivalent to the given value.
Longer Side - (Measured in Meter) - Longer side is defined as the side of rectangle which has long length with respect to the other side.
Shorter Side - (Measured in Meter) - The shorter Side is defined as the side of the rectangle which has a short length with respect another side.
STEP 1: Convert Input(s) to Base Unit
Longer Side: 0.9 Meter --> 0.9 Meter No Conversion Required
Shorter Side: 0.7 Meter --> 0.7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
De = 1.256*((a^3*b^3)/(a+b))^0.2 --> 1.256*((0.9^3*0.7^3)/(0.9+0.7))^0.2
Evaluating ... ...
De = 0.866502804228507
STEP 3: Convert Result to Output's Unit
0.866502804228507 Meter --> No Conversion Required
FINAL ANSWER
0.866502804228507 0.866503 Meter <-- Equivalent Diameter of Duct
(Calculation completed in 00.004 seconds)

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6 Basics of Ducts Calculators

Equivalent Diameter of Circular Duct for Rectangular Duct when Quantity of Air is Same
Go Equivalent Diameter of Duct = 1.256*((Longer Side^3*Shorter Side^3)/(Longer Side+Shorter Side))^0.2
Equivalent Diameter of Circular Duct for Rectangular Duct when Velocity of Air is Same
Go Equivalent Diameter of Duct = (2*Longer Side*Shorter Side)/(Longer Side+Shorter Side)
Reynolds Number in Duct
Go Reynolds Number = (Diameter of Circular Duct*Mean Velocity of Air)/Kinematic Viscosity
Quantity of Air given Velocity
Go Quantity of Air = Velocity of Air*Cross-Sectional Area of Duct
Velocity Pressure in Ducts
Go Velocity Pressure in Ducts = 0.6*Mean Velocity of Air^2
Reynolds Number given Friction Factor for Laminar Flow
Go Reynolds Number = 64/Friction Factor in Duct

Equivalent Diameter of Circular Duct for Rectangular Duct when Quantity of Air is Same Formula

Equivalent Diameter of Duct = 1.256*((Longer Side^3*Shorter Side^3)/(Longer Side+Shorter Side))^0.2
De = 1.256*((a^3*b^3)/(a+b))^0.2

Equivalent Diameter of a Circular Duct for a Rectangular Duct

A round/circular shape results in lower pressure drops and less fan horsepower to move the air and, consequently, smaller equipment as compared to rectangular shape.

How to Calculate Equivalent Diameter of Circular Duct for Rectangular Duct when Quantity of Air is Same?

Equivalent Diameter of Circular Duct for Rectangular Duct when Quantity of Air is Same calculator uses Equivalent Diameter of Duct = 1.256*((Longer Side^3*Shorter Side^3)/(Longer Side+Shorter Side))^0.2 to calculate the Equivalent Diameter of Duct, The Equivalent Diameter of Circular Duct for Rectangular Duct when Quantity of Air is same formula is defined as the diameter of a circular duct or pipe that for equal flow gives the same pressure loss or resistance as an equivalent rectangular duct or pipe when the quantity of air is same. Equivalent Diameter of Duct is denoted by De symbol.

How to calculate Equivalent Diameter of Circular Duct for Rectangular Duct when Quantity of Air is Same using this online calculator? To use this online calculator for Equivalent Diameter of Circular Duct for Rectangular Duct when Quantity of Air is Same, enter Longer Side (a) & Shorter Side (b) and hit the calculate button. Here is how the Equivalent Diameter of Circular Duct for Rectangular Duct when Quantity of Air is Same calculation can be explained with given input values -> 0.866503 = 1.256*((0.9^3*0.7^3)/(0.9+0.7))^0.2.

FAQ

What is Equivalent Diameter of Circular Duct for Rectangular Duct when Quantity of Air is Same?
The Equivalent Diameter of Circular Duct for Rectangular Duct when Quantity of Air is same formula is defined as the diameter of a circular duct or pipe that for equal flow gives the same pressure loss or resistance as an equivalent rectangular duct or pipe when the quantity of air is same and is represented as De = 1.256*((a^3*b^3)/(a+b))^0.2 or Equivalent Diameter of Duct = 1.256*((Longer Side^3*Shorter Side^3)/(Longer Side+Shorter Side))^0.2. Longer side is defined as the side of rectangle which has long length with respect to the other side & The shorter Side is defined as the side of the rectangle which has a short length with respect another side.
How to calculate Equivalent Diameter of Circular Duct for Rectangular Duct when Quantity of Air is Same?
The Equivalent Diameter of Circular Duct for Rectangular Duct when Quantity of Air is same formula is defined as the diameter of a circular duct or pipe that for equal flow gives the same pressure loss or resistance as an equivalent rectangular duct or pipe when the quantity of air is same is calculated using Equivalent Diameter of Duct = 1.256*((Longer Side^3*Shorter Side^3)/(Longer Side+Shorter Side))^0.2. To calculate Equivalent Diameter of Circular Duct for Rectangular Duct when Quantity of Air is Same, you need Longer Side (a) & Shorter Side (b). With our tool, you need to enter the respective value for Longer Side & Shorter Side 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 Equivalent Diameter of Duct?
In this formula, Equivalent Diameter of Duct uses Longer Side & Shorter Side. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Equivalent Diameter of Duct = (2*Longer Side*Shorter Side)/(Longer Side+Shorter Side)
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