Cross-Sectional Area of Duct at Section 1 using Continuity Equation Calculator

✖The Cross-Sectional Area of Duct at Section 2 is the area of the cross-section at section 2.ⓘ Cross-Sectional Area of Duct at Section 2 [A₂]			+10% -10%
✖Velocity of Air at section 2 is defined as the rate of air movement measured in distance traveled relative to time elapsed at section 2.ⓘ Velocity of Air at Section 2 [V₂]			+10% -10%
✖Velocity of Air at section 1 is defined as the rate of air movement measured in distance traveled relative to time elapsed at section 1.ⓘ Velocity of Air at Section 1 [V₁]			+10% -10%

✖The Cross-Sectional Area of Duct at Section 1 is defined as the area of the section at point 1.ⓘ Cross-Sectional Area of Duct at Section 1 using Continuity Equation [A₁]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Ducts Formulas PDF PDF Image

Cross-Sectional Area of Duct at Section 1 using Continuity Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross-Sectional Area of Duct at Section 1 = (Cross-Sectional Area of Duct at Section 2*Velocity of Air at Section 2)/Velocity of Air at Section 1
A₁ = (A₂*V₂)/V₁
This formula uses 4 Variables

Variables Used

Cross-Sectional Area of Duct at Section 1 - (Measured in Square Meter) - The Cross-Sectional Area of Duct at Section 1 is defined as the area of the section at point 1.
Cross-Sectional Area of Duct at Section 2 - (Measured in Square Meter) - The Cross-Sectional Area of Duct at Section 2 is the area of the cross-section at section 2.
Velocity of Air at Section 2 - (Measured in Meter per Second) - Velocity of Air at section 2 is defined as the rate of air movement measured in distance traveled relative to time elapsed at section 2.
Velocity of Air at Section 1 - (Measured in Meter per Second) - Velocity of Air at section 1 is defined as the rate of air movement measured in distance traveled relative to time elapsed at section 1.

STEP 1: Convert Input(s) to Base Unit

Cross-Sectional Area of Duct at Section 2: 0.95 Square Meter --> 0.95 Square Meter No Conversion Required
Velocity of Air at Section 2: 26 Meter per Second --> 26 Meter per Second No Conversion Required
Velocity of Air at Section 1: 17 Meter per Second --> 17 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A₁ = (A₂*V₂)/V₁ --> (0.95*26)/17

Evaluating ... ...

A₁ = 1.45294117647059

STEP 3: Convert Result to Output's Unit

1.45294117647059 Square Meter --> No Conversion Required

FINAL ANSWER

1.45294117647059 ≈ 1.452941 Square Meter <-- Cross-Sectional Area of Duct at Section 1

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Refrigeration and Air Conditioning » Ducts » Mechanical » Continuity Equation for Ducts » Cross-Sectional Area of Duct at Section 1 using Continuity Equation

Credits

Created by Abhishek Dharmendra Bansile

Vishwakarma Institute of Information Technology, Pune (VIIT Pune), Pune

Abhishek Dharmendra Bansile has created this Calculator and 100+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< Continuity Equation for Ducts Calculators

Cross-Sectional Area of Duct at Section 1 using Continuity Equation

LaTeX Go Cross-Sectional Area of Duct at Section 1 = (Cross-Sectional Area of Duct at Section 2*Velocity of Air at Section 2)/Velocity of Air at Section 1

Cross-Sectional Area of Duct at Section 2 using Continuity Equation

LaTeX Go Cross-Sectional Area of Duct at Section 2 = (Cross-Sectional Area of Duct at Section 1*Velocity of Air at Section 1)/Velocity of Air at Section 2

Velocity of Air at Duct Section 1 using Continuity Equation

LaTeX Go Velocity of Air at Section 1 = (Cross-Sectional Area of Duct at Section 2*Velocity of Air at Section 2)/Cross-Sectional Area of Duct at Section 1

Velocity of Air at Duct Section 2 using Continuity Equation

LaTeX Go Velocity of Air at Section 2 = (Cross-Sectional Area of Duct at Section 1*Velocity of Air at Section 1)/Cross-Sectional Area of Duct at Section 2

Cross-Sectional Area of Duct at Section 1 using Continuity Equation Formula

LaTeX Go

Cross-Sectional Area of Duct at Section 1 = (Cross-Sectional Area of Duct at Section 2*Velocity of Air at Section 2)/Velocity of Air at Section 1
A₁ = (A₂*V₂)/V₁

Continuity Equation for Ducts

Continuity equation represents that the product of the cross-sectional area of the duct and the fluid velocity at any point along the duct is always constant. This product is equal to the volume flow per second or simply the flow rate.

How to Calculate Cross-Sectional Area of Duct at Section 1 using Continuity Equation?

Cross-Sectional Area of Duct at Section 1 using Continuity Equation calculator uses Cross-Sectional Area of Duct at Section 1 = (Cross-Sectional Area of Duct at Section 2*Velocity of Air at Section 2)/Velocity of Air at Section 1 to calculate the Cross-Sectional Area of Duct at Section 1, Cross-Sectional Area of Duct at Section 1 using Continuity Equation formula is defined as a measure of the area of a duct's cross-section at a specific point, which is crucial in understanding the flow characteristics and pressure variations in a duct system, particularly in applications involving fluid dynamics and aerodynamics. Cross-Sectional Area of Duct at Section 1 is denoted by A₁ symbol.

How to calculate Cross-Sectional Area of Duct at Section 1 using Continuity Equation using this online calculator? To use this online calculator for Cross-Sectional Area of Duct at Section 1 using Continuity Equation, enter Cross-Sectional Area of Duct at Section 2 (A₂), Velocity of Air at Section 2 (V₂) & Velocity of Air at Section 1 (V₁) and hit the calculate button. Here is how the Cross-Sectional Area of Duct at Section 1 using Continuity Equation calculation can be explained with given input values -> 1.452941 = (0.95*26)/17.

FAQ

What is Cross-Sectional Area of Duct at Section 1 using Continuity Equation?

Cross-Sectional Area of Duct at Section 1 using Continuity Equation formula is defined as a measure of the area of a duct's cross-section at a specific point, which is crucial in understanding the flow characteristics and pressure variations in a duct system, particularly in applications involving fluid dynamics and aerodynamics and is represented as A₁ = (A₂*V₂)/V₁ or Cross-Sectional Area of Duct at Section 1 = (Cross-Sectional Area of Duct at Section 2*Velocity of Air at Section 2)/Velocity of Air at Section 1. The Cross-Sectional Area of Duct at Section 2 is the area of the cross-section at section 2, Velocity of Air at section 2 is defined as the rate of air movement measured in distance traveled relative to time elapsed at section 2 & Velocity of Air at section 1 is defined as the rate of air movement measured in distance traveled relative to time elapsed at section 1.

How to calculate Cross-Sectional Area of Duct at Section 1 using Continuity Equation?

Cross-Sectional Area of Duct at Section 1 using Continuity Equation formula is defined as a measure of the area of a duct's cross-section at a specific point, which is crucial in understanding the flow characteristics and pressure variations in a duct system, particularly in applications involving fluid dynamics and aerodynamics is calculated using Cross-Sectional Area of Duct at Section 1 = (Cross-Sectional Area of Duct at Section 2*Velocity of Air at Section 2)/Velocity of Air at Section 1. To calculate Cross-Sectional Area of Duct at Section 1 using Continuity Equation, you need Cross-Sectional Area of Duct at Section 2 (A₂), Velocity of Air at Section 2 (V₂) & Velocity of Air at Section 1 (V₁). With our tool, you need to enter the respective value for Cross-Sectional Area of Duct at Section 2, Velocity of Air at Section 2 & Velocity of Air at Section 1 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search