Pressure Loss Coefficient at Inlet of Duct Calculator

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Pressure

Continuity Equation for Ducts

Friction Factor

Parameters of Ducts

Pressure Loss in Ducts

✖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 [A₁]			+10% -10%
✖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%

✖Pressure Loss Coefficient at 1 is the coefficient of pressure losses caused by a change in air direction from the elbow, offset, or takeoffs.ⓘ Pressure Loss Coefficient at Inlet of Duct [C₁]

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Formula

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Pressure Loss Coefficient at Inlet of Duct

Formula

`"C"_{"1"} = (1-"A"_{"1"}/"A"_{"2"})^2`

Example

`"0.099723"=(1-"0.65m²"/"0.95m²")^2`

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Pressure Loss Coefficient at Inlet of Duct Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Loss Coefficient at 1 = (1-Cross-Sectional Area of Duct at Section 1/Cross-Sectional Area of Duct at Section 2)^2
C₁ = (1-A₁/A₂)^2
This formula uses 3 Variables

Variables Used

Pressure Loss Coefficient at 1 - Pressure Loss Coefficient at 1 is the coefficient of pressure losses caused by a change in air direction from the elbow, offset, or takeoffs.
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.

STEP 1: Convert Input(s) to Base Unit

Cross-Sectional Area of Duct at Section 1: 0.65 Square Meter --> 0.65 Square Meter No Conversion Required
Cross-Sectional Area of Duct at Section 2: 0.95 Square Meter --> 0.95 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C₁ = (1-A₁/A₂)^2 --> (1-0.65/0.95)^2

Evaluating ... ...

C₁ = 0.0997229916897507

STEP 3: Convert Result to Output's Unit

0.0997229916897507 --> No Conversion Required

FINAL ANSWER

0.0997229916897507 ≈ 0.099723 <-- Pressure Loss Coefficient at 1

(Calculation completed in 00.004 seconds)

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Created by Abhishek Dharmendra Bansile

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

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< 17 Pressure Calculators

Length of Duct given Pressure Loss due to Friction

Go Length of Duct = (2*Pressure Loss due to Friction in Ducts*Hydraulic Mean Depth)/(Friction Factor in Duct*Air Density*Mean Velocity of Air^2)

Pressure Loss due to Friction in Ducts

Go Pressure Loss due to Friction in Ducts = (Friction Factor in Duct*Length of Duct*Air Density*Mean Velocity of Air^2)/(2*Hydraulic Mean Depth)

Pressure Drop in Square Duct

Go Pressure Drop = (0.6*Friction Factor in Duct*Length of Duct*Mean Velocity of Air^2)/((Side^2)/(2*(Side+Side)))

Pressure Drop in Circular Duct

Go Pressure Drop = (0.6*Friction Factor in Duct*Length of Duct*Mean Velocity of Air^2)/(Diameter of Circular Duct/4)

Pressure Loss due to Gradual Contraction given Pressure Loss Coefficient at Section 1

Go Dynamic Pressure Loss = 0.6*Velocity of Air at Section 1^2*Pressure Loss Coefficient*Pressure Loss Coefficient at 1

Pressure Loss due to Gradual Contraction given Velocity of Air at Point 2

Go Dynamic Pressure Loss = 0.6*Velocity of Air at Section 2^2*Pressure Loss Coefficient*Pressure Loss Coefficient at 2

Dynamic Loss Coefficient given Equivalent Additional Length

Go Dynamic Loss Coefficient = (Friction Factor in Duct*Equivalent Additional Length)/Hydraulic Mean Depth

Pressure Loss Coefficient at Outlet of Duct

Go Pressure Loss Coefficient at 2 = (Cross-Sectional Area of Duct at Section 2/Cross-Sectional Area of Duct at Section 1-1)^2

Pressure Loss Coefficient at Inlet of Duct

Go Pressure Loss Coefficient at 1 = (1-Cross-Sectional Area of Duct at Section 1/Cross-Sectional Area of Duct at Section 2)^2

Total Pressure required at Inlet to Duct

Go Total Pressure Required = Pressure Loss due to Friction in Ducts+Velocity Pressure in Ducts

Pressure Loss due to Sudden Contraction given Velocity of Air at point 2

Go Dynamic Pressure Loss = 0.6*Velocity of Air at Section 2^2*Pressure Loss Coefficient at 2

Pressure Loss due to Sudden Enlargement

Go Dynamic Pressure Loss = 0.6*(Velocity of Air at Section 1-Velocity of Air at Section 2)^2

Pressure Loss due to Sudden Contraction given Velocity of Air at Point 1

Go Dynamic Pressure Loss = 0.6*Velocity of Air at Section 1^2*Dynamic Loss Coefficient

Dynamic Loss Coefficient given Dynamic Pressure Loss

Go Dynamic Loss Coefficient = Dynamic Pressure Loss/(0.6*Velocity of Air^2)

Pressure Loss at Suction

Go Dynamic Pressure Loss = Dynamic Loss Coefficient*0.6*Velocity of Air^2

Dynamic Pressure Loss

Go Dynamic Pressure Loss = Dynamic Loss Coefficient*0.6*Velocity of Air^2

Pressure Loss at Discharge or Exit

Go Dynamic Pressure Loss = 0.6*Velocity of Air^2

Pressure Loss Coefficient at Inlet of Duct Formula

Pressure Loss Coefficient at 1 = (1-Cross-Sectional Area of Duct at Section 1/Cross-Sectional Area of Duct at Section 2)^2
C₁ = (1-A₁/A₂)^2

Causes of Dynamic Pressure loss

1. Change in air direction from elbows, offsets, and takeoffs
2. Restrictions or obstructions in the air stream - in/outlet fans, dampers, filters, and coils
3. Air velocity changes due to changes in duct sizes

How to Calculate Pressure Loss Coefficient at Inlet of Duct?

Pressure Loss Coefficient at Inlet of Duct calculator uses Pressure Loss Coefficient at 1 = (1-Cross-Sectional Area of Duct at Section 1/Cross-Sectional Area of Duct at Section 2)^2 to calculate the Pressure Loss Coefficient at 1, The pressure loss coefficient at inlet of duct formula is defined as the coefficient of pressure losses caused by a change in the direction of air from the elbow, offset, or takeoffs. Pressure Loss Coefficient at 1 is denoted by C₁ symbol.

How to calculate Pressure Loss Coefficient at Inlet of Duct using this online calculator? To use this online calculator for Pressure Loss Coefficient at Inlet of Duct, enter Cross-Sectional Area of Duct at Section 1 (A₁) & Cross-Sectional Area of Duct at Section 2 (A₂) and hit the calculate button. Here is how the Pressure Loss Coefficient at Inlet of Duct calculation can be explained with given input values -> 0.099723 = (1-0.65/0.95)^2.

FAQ

What is Pressure Loss Coefficient at Inlet of Duct?

The pressure loss coefficient at inlet of duct formula is defined as the coefficient of pressure losses caused by a change in the direction of air from the elbow, offset, or takeoffs and is represented as C₁ = (1-A₁/A₂)^2 or Pressure Loss Coefficient at 1 = (1-Cross-Sectional Area of Duct at Section 1/Cross-Sectional Area of Duct at Section 2)^2. The Cross-Sectional Area of Duct at Section 1 is defined as the area of the section at point 1 & The Cross-Sectional Area of Duct at Section 2 is the area of the cross-section at section 2.

How to calculate Pressure Loss Coefficient at Inlet of Duct?

The pressure loss coefficient at inlet of duct formula is defined as the coefficient of pressure losses caused by a change in the direction of air from the elbow, offset, or takeoffs is calculated using Pressure Loss Coefficient at 1 = (1-Cross-Sectional Area of Duct at Section 1/Cross-Sectional Area of Duct at Section 2)^2. To calculate Pressure Loss Coefficient at Inlet of Duct, you need Cross-Sectional Area of Duct at Section 1 (A₁) & Cross-Sectional Area of Duct at Section 2 (A₂). With our tool, you need to enter the respective value for Cross-Sectional Area of Duct at Section 1 & Cross-Sectional Area of Duct at Section 2 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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