Friction Factor by Ergun Calculator

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Internal Flow

Basics of HMT

Conduction

Convection

Convective Mass Transfer

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Flow of Liquids inside Packed Beds

Flow inside tubes

✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Diameter(eff) is a chord that runs through the center point of the circle.ⓘ Diameter(eff) [D_eff]			+10% -10%
✖The Head of Fluid is the height of a vertical column of fluid and represents mechanical energy per pound of fluid.ⓘ Head of Fluid [H_f]			+10% -10%
✖Void Fraction is the fraction of the channel volume that is occupied by the gas phase.ⓘ Void Fraction [∈]			+10% -10%
✖Length of Packaged Bed is the measurement or extent of something from end to end.ⓘ Length of Packaged Bed [L]			+10% -10%
✖Superficial Velocity is the volumetric flow rate divided by a cross sectional area.ⓘ Superficial Velocity [U_b]			+10% -10%

✖The Friction factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.ⓘ Friction Factor by Ergun [f]

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Formula

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Friction Factor by Ergun

Formula

`"f" = ("g"*"D"_{"eff"}*"H"_{"f"}*"∈"^3)/("L"*"U"_{"b"}^2*(1-"∈"))`

Example

`"1.157162"=("9.8m/s²"*"24.99m"*"0.0077m"*("0.75")^3)/("1100m"*("0.05m/s")^2*(1-"0.75"))`

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Download Flow of Liquids inside Packed Beds Formulas PDF PDF Image

Friction Factor by Ergun Solution

STEP 0: Pre-Calculation Summary

Formula Used

Friction Factor = (Acceleration due to Gravity*Diameter(eff)*Head of Fluid*Void Fraction^3)/(Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction))
f = (g*D_eff*H_f*∈^3)/(L*U_b^2*(1-∈))
This formula uses 7 Variables

Variables Used

Friction Factor - The Friction factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Diameter(eff) - (Measured in Meter) - Diameter(eff) is a chord that runs through the center point of the circle.
Head of Fluid - (Measured in Meter) - The Head of Fluid is the height of a vertical column of fluid and represents mechanical energy per pound of fluid.
Void Fraction - Void Fraction is the fraction of the channel volume that is occupied by the gas phase.
Length of Packaged Bed - (Measured in Meter) - Length of Packaged Bed is the measurement or extent of something from end to end.
Superficial Velocity - (Measured in Meter per Second) - Superficial Velocity is the volumetric flow rate divided by a cross sectional area.

STEP 1: Convert Input(s) to Base Unit

Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Diameter(eff): 24.99 Meter --> 24.99 Meter No Conversion Required
Head of Fluid: 0.0077 Meter --> 0.0077 Meter No Conversion Required
Void Fraction: 0.75 --> No Conversion Required
Length of Packaged Bed: 1100 Meter --> 1100 Meter No Conversion Required
Superficial Velocity: 0.05 Meter per Second --> 0.05 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = (g*D_eff*H_f*∈^3)/(L*U_b^2*(1-∈)) --> (9.8*24.99*0.0077*0.75^3)/(1100*0.05^2*(1-0.75))

Evaluating ... ...

f = 1.15716195

STEP 3: Convert Result to Output's Unit

1.15716195 --> No Conversion Required

FINAL ANSWER

1.15716195 ≈ 1.157162 <-- Friction Factor

(Calculation completed in 00.020 seconds)

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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University Institute of Technology RGPV (UIT - RGPV), Bhopal

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< 12 Flow of Liquids inside Packed Beds Calculators

Effective Particle Diameter by Ergun given Frication Factor

Go Diameter(eff) = (Friction Factor*Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction))/(Acceleration due to Gravity*Head of Fluid*Void Fraction^3)

Head of Fluid Lost Due to Friction

Go Head of Fluid = (Friction Factor*Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction))/(Acceleration due to Gravity*Diameter(eff)*Void Fraction^3)

Friction Factor by Ergun

Go Friction Factor = (Acceleration due to Gravity*Diameter(eff)*Head of Fluid*Void Fraction^3)/(Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction))

Effective Particle Diameter by Ergun given Reynolds Number

Go Diameter(eff) = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Superficial Velocity*Density)

Superficial Velocity by Ergun given Reynolds Number

Go Superficial Velocity = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Diameter(eff)*Density)

Reynolds Number of Packed Beds by Ergun

Go Reynolds Number(pb) = (Diameter(eff)*Superficial Velocity*Density)/(Absolute Viscosity*(1-Void Fraction))

Density of Fluid by Ergun

Go Density = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Diameter(eff)*Superficial Velocity)

Absolute Viscosity of Fluid by Ergun

Go Absolute Viscosity = (Diameter*Superficial Velocity*Density)/(Reynolds Number(pb)*(1-Void Fraction))

Friction Factor by Beek

Go Friction Factor = (1-Void Fraction)/(Void Fraction^3)*(1.75+150*((1-Void Fraction)/Reynolds Number(pb)))

Friction Factor by Ergun for Rep Value between 1 and 2500

Go Friction Factor = 150/Reynolds Number(pb)+1.75

Friction Factor by Kozeny-Carman

Go Friction Factor = 150/Reynolds Number(pb)

Mean Effective Diameter

Go Diameter = 6/Mean Specific Surface

Friction Factor by Ergun Formula

Friction Factor = (Acceleration due to Gravity*Diameter(eff)*Head of Fluid*Void Fraction^3)/(Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction))
f = (g*D_eff*H_f*∈^3)/(L*U_b^2*(1-∈))

What is internal flow?

internal flow is a flow for which the fluid is confined by a surface. Hence the boundary layer is unable to develop without eventually being constrained. The internal flow configuration represents a convenient geometry for heating and cooling fluids used in chemical processing, environmental control, and energy conversion technologies. An example includes flow in a pipe.

How to Calculate Friction Factor by Ergun?

Friction Factor by Ergun calculator uses Friction Factor = (Acceleration due to Gravity*Diameter(eff)*Head of Fluid*Void Fraction^3)/(Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction)) to calculate the Friction Factor, The Friction factor by Ergun formula is defined as the ratio of the absolute roughness ε of the pipe inside wall to the pipe inside diameter. Friction Factor is denoted by f symbol.

How to calculate Friction Factor by Ergun using this online calculator? To use this online calculator for Friction Factor by Ergun, enter Acceleration due to Gravity (g), Diameter(eff) (D_eff), Head of Fluid (H_f), Void Fraction (∈), Length of Packaged Bed (L) & Superficial Velocity (U_b) and hit the calculate button. Here is how the Friction Factor by Ergun calculation can be explained with given input values -> 0.000463 = (9.8*24.99*0.0077*0.75^3)/(1100*0.05^2*(1-0.75)).

FAQ

What is Friction Factor by Ergun?

The Friction factor by Ergun formula is defined as the ratio of the absolute roughness ε of the pipe inside wall to the pipe inside diameter and is represented as f = (g*D_eff*H_f*∈^3)/(L*U_b^2*(1-∈)) or Friction Factor = (Acceleration due to Gravity*Diameter(eff)*Head of Fluid*Void Fraction^3)/(Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction)). Acceleration due to Gravity is acceleration gained by an object because of gravitational force, Diameter(eff) is a chord that runs through the center point of the circle, The Head of Fluid is the height of a vertical column of fluid and represents mechanical energy per pound of fluid, Void Fraction is the fraction of the channel volume that is occupied by the gas phase, Length of Packaged Bed is the measurement or extent of something from end to end & Superficial Velocity is the volumetric flow rate divided by a cross sectional area.

How to calculate Friction Factor by Ergun?

The Friction factor by Ergun formula is defined as the ratio of the absolute roughness ε of the pipe inside wall to the pipe inside diameter is calculated using Friction Factor = (Acceleration due to Gravity*Diameter(eff)*Head of Fluid*Void Fraction^3)/(Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction)). To calculate Friction Factor by Ergun, you need Acceleration due to Gravity (g), Diameter(eff) (D_eff), Head of Fluid (H_f), Void Fraction (∈), Length of Packaged Bed (L) & Superficial Velocity (U_b). With our tool, you need to enter the respective value for Acceleration due to Gravity, Diameter(eff), Head of Fluid, Void Fraction, Length of Packaged Bed & Superficial Velocity 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 Friction Factor?

In this formula, Friction Factor uses Acceleration due to Gravity, Diameter(eff), Head of Fluid, Void Fraction, Length of Packaged Bed & Superficial Velocity. We can use 3 other way(s) to calculate the same, which is/are as follows -

Friction Factor = 150/Reynolds Number(pb)
Friction Factor = 150/Reynolds Number(pb)+1.75
Friction Factor = (1-Void Fraction)/(Void Fraction^3)*(1.75+150*((1-Void Fraction)/Reynolds Number(pb)))

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