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

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Dynamic loss in ducts

Basics of Ducts

Continuity Equation for Ducts

Friction Factor

Pressure Loss in Ducts

✖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%
✖Pressure Loss Coefficient Cr is defined the ratio of actual loss of pressure to loss for sudden enlargement/contraction.ⓘ Pressure Loss Coefficient [C_r]			+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 1 [C₁]			+10% -10%

✖Dynamic Pressure Loss is defined as the loss of pressure is due to the loss of the energy of the fluid in overcoming such dynamic forces resisting the changes.ⓘ Pressure Loss due to Gradual Contraction given Pressure Loss Coefficient at Section 1 [P_d]

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Formula

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

Formula

`"P"_{"d"} = 0.6*"V"_{"1"}^2*"C"_{"r"}*"C"_{"1"}`

Example

`"3.535168mmAq"=0.6*("17m/s")^2*"0.4"*"0.5"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Pressure Loss = 0.6*Velocity of Air at Section 1^2*Pressure Loss Coefficient*Pressure Loss Coefficient at 1
P_d = 0.6*V₁^2*C_r*C₁
This formula uses 4 Variables

Variables Used

Dynamic Pressure Loss - (Measured in Pascal) - Dynamic Pressure Loss is defined as the loss of pressure is due to the loss of the energy of the fluid in overcoming such dynamic forces resisting the changes.
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.
Pressure Loss Coefficient - Pressure Loss Coefficient Cr is defined the ratio of actual loss of pressure to loss for sudden enlargement/contraction.
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.

STEP 1: Convert Input(s) to Base Unit

Velocity of Air at Section 1: 17 Meter per Second --> 17 Meter per Second No Conversion Required
Pressure Loss Coefficient: 0.4 --> No Conversion Required
Pressure Loss Coefficient at 1: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_d = 0.6*V₁^2*C_r*C₁ --> 0.6*17^2*0.4*0.5

Evaluating ... ...

P_d = 34.68

STEP 3: Convert Result to Output's Unit

34.68 Pascal -->3.53516819571865 Millimeter Water (4 °C) (Check conversion here)

FINAL ANSWER

3.53516819571865 ≈ 3.535168 Millimeter Water (4 °C) <-- Dynamic Pressure Loss

(Calculation completed in 00.020 seconds)

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Home » Physics » Refrigeration and Air Conditioning » Ducts » Dynamic loss in ducts » Pressure Loss due to Gradual Contraction given Pressure Loss Coefficient at Section 1

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< 17 Dynamic loss in ducts 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 due to Gradual Contraction given Pressure Loss Coefficient at Section 1 Formula

Dynamic Pressure Loss = 0.6*Velocity of Air at Section 1^2*Pressure Loss Coefficient*Pressure Loss Coefficient at 1
P_d = 0.6*V₁^2*C_r*C₁

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

Pressure Loss due to Gradual Contraction given Pressure Loss Coefficient at Section 1 calculator uses Dynamic Pressure Loss = 0.6*Velocity of Air at Section 1^2*Pressure Loss Coefficient*Pressure Loss Coefficient at 1 to calculate the Dynamic Pressure Loss, The Pressure Loss due to Gradual Contraction given Pressure Loss Coefficient at Section 1 formula is defined as the amount of pressure loss due to gradual contraction/ reduction in the area of the duct. Dynamic Pressure Loss is denoted by P_d symbol.

How to calculate Pressure Loss due to Gradual Contraction given Pressure Loss Coefficient at Section 1 using this online calculator? To use this online calculator for Pressure Loss due to Gradual Contraction given Pressure Loss Coefficient at Section 1, enter Velocity of Air at Section 1 (V₁), Pressure Loss Coefficient (C_r) & Pressure Loss Coefficient at 1 (C₁) and hit the calculate button. Here is how the Pressure Loss due to Gradual Contraction given Pressure Loss Coefficient at Section 1 calculation can be explained with given input values -> 0.360364 = 0.6*17^2*0.4*0.5.

FAQ

What is Pressure Loss due to Gradual Contraction given Pressure Loss Coefficient at Section 1?

The Pressure Loss due to Gradual Contraction given Pressure Loss Coefficient at Section 1 formula is defined as the amount of pressure loss due to gradual contraction/ reduction in the area of the duct and is represented as P_d = 0.6*V₁^2*C_r*C₁ or Dynamic Pressure Loss = 0.6*Velocity of Air at Section 1^2*Pressure Loss Coefficient*Pressure Loss Coefficient at 1. 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, Pressure Loss Coefficient Cr is defined the ratio of actual loss of pressure to loss for sudden enlargement/contraction & Pressure Loss Coefficient at 1 is the coefficient of pressure losses caused by a change in air direction from the elbow, offset, or takeoffs.

How to calculate Pressure Loss due to Gradual Contraction given Pressure Loss Coefficient at Section 1?

The Pressure Loss due to Gradual Contraction given Pressure Loss Coefficient at Section 1 formula is defined as the amount of pressure loss due to gradual contraction/ reduction in the area of the duct is calculated using Dynamic Pressure Loss = 0.6*Velocity of Air at Section 1^2*Pressure Loss Coefficient*Pressure Loss Coefficient at 1. To calculate Pressure Loss due to Gradual Contraction given Pressure Loss Coefficient at Section 1, you need Velocity of Air at Section 1 (V₁), Pressure Loss Coefficient (C_r) & Pressure Loss Coefficient at 1 (C₁). With our tool, you need to enter the respective value for Velocity of Air at Section 1, Pressure Loss Coefficient & Pressure Loss Coefficient at 1 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 Dynamic Pressure Loss?

In this formula, Dynamic Pressure Loss uses Velocity of Air at Section 1, Pressure Loss Coefficient & Pressure Loss Coefficient at 1. We can use 7 other way(s) to calculate the same, which is/are as follows -

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

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