Effective Particle Diameter by Ergun given Frication Factor Calculator

✖Factor of Friction or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.ⓘ Factor of Friction [f_f]			+10% -10%
✖Length of Packaged Bed is the measurement or extent of something from end to end.ⓘ Length of Packaged Bed [L_b]			+10% -10%
✖Superficial Velocity is the volumetric flow rate divided by a cross sectional area.ⓘ Superficial Velocity [U_b]			+10% -10%
✖Void Fraction is the fraction of the channel volume that is occupied by the gas phase.ⓘ Void Fraction [∈]			+10% -10%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+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%

✖Diameter(eff) is a chord that runs through the center point of the circle.ⓘ Effective Particle Diameter by Ergun given Frication Factor [D_eff]

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Effective Particle Diameter by Ergun given Frication Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Diameter(eff) - (Measured in Meter) - Diameter(eff) is a chord that runs through the center point of the circle.
Factor of Friction - Factor of Friction or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.
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.
Void Fraction - Void Fraction is the fraction of the channel volume that is occupied by the gas phase.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
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.

STEP 1: Convert Input(s) to Base Unit

Factor of Friction: 1.148 --> 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
Void Fraction: 0.75 --> No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Head of Fluid: 0.0077 Meter --> 0.0077 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_eff = (f_f*L_b*U_b^2*(1-∈))/(g*H_f*∈^3) --> (1.148*1100*0.05^2*(1-0.75))/(9.8*0.0077*0.75^3)

Evaluating ... ...

D_eff = 24.7921390778534

STEP 3: Convert Result to Output's Unit

24.7921390778534 Meter --> No Conversion Required

FINAL ANSWER

24.7921390778534 ≈ 24.79214 Meter <-- Diameter(eff)

(Calculation completed in 00.020 seconds)

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Home » Physics » Heat and Mass Transfer » Internal Flow » Mechanical » Flow of Liquids inside Packed Beds » Effective Particle Diameter by Ergun given Frication Factor

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< Flow of Liquids inside Packed Beds Calculators

Effective Particle Diameter by Ergun given Reynolds Number

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

Superficial Velocity by Ergun given Reynolds Number

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

Reynolds Number of Packed Beds by Ergun

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

Density of Fluid by Ergun

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

Effective Particle Diameter by Ergun given Frication Factor Formula

LaTeX Go

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 Effective Particle Diameter by Ergun given Frication Factor?

Effective Particle Diameter by Ergun given Frication Factor calculator uses Diameter(eff) = (Factor of Friction*Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction))/(Acceleration due to Gravity*Head of Fluid*Void Fraction^3) to calculate the Diameter(eff), The Effective particle diameter by Ergun given frication factor formula is defined as the diameter of the particle required for the given value pf friction factor. Diameter(eff) is denoted by D_eff symbol.

How to calculate Effective Particle Diameter by Ergun given Frication Factor using this online calculator? To use this online calculator for Effective Particle Diameter by Ergun given Frication Factor, enter Factor of Friction (f_f), Length of Packaged Bed (L_b), Superficial Velocity (U_b), Void Fraction (∈), Acceleration due to Gravity (g) & Head of Fluid (H_f) and hit the calculate button. Here is how the Effective Particle Diameter by Ergun given Frication Factor calculation can be explained with given input values -> 24.79214 = (1.148*1100*0.05^2*(1-0.75))/(9.8*0.0077*0.75^3).

FAQ

What is Effective Particle Diameter by Ergun given Frication Factor?

The Effective particle diameter by Ergun given frication factor formula is defined as the diameter of the particle required for the given value pf friction factor and is represented as D_eff = (f_f*L_b*U_b^2*(1-∈))/(g*H_f*∈^3) or Diameter(eff) = (Factor of Friction*Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction))/(Acceleration due to Gravity*Head of Fluid*Void Fraction^3). Factor of Friction or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number, 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, Void Fraction is the fraction of the channel volume that is occupied by the gas phase, Acceleration due to Gravity is acceleration gained by an object because of gravitational force & The Head of Fluid is the height of a vertical column of fluid and represents mechanical energy per pound of fluid.

How to calculate Effective Particle Diameter by Ergun given Frication Factor?

The Effective particle diameter by Ergun given frication factor formula is defined as the diameter of the particle required for the given value pf friction factor is calculated using Diameter(eff) = (Factor of Friction*Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction))/(Acceleration due to Gravity*Head of Fluid*Void Fraction^3). To calculate Effective Particle Diameter by Ergun given Frication Factor, you need Factor of Friction (f_f), Length of Packaged Bed (L_b), Superficial Velocity (U_b), Void Fraction (∈), Acceleration due to Gravity (g) & Head of Fluid (H_f). With our tool, you need to enter the respective value for Factor of Friction, Length of Packaged Bed, Superficial Velocity, Void Fraction, Acceleration due to Gravity & Head of Fluid 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 Diameter(eff)?

In this formula, Diameter(eff) uses Factor of Friction, Length of Packaged Bed, Superficial Velocity, Void Fraction, Acceleration due to Gravity & Head of Fluid. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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