Effective Particle Diameter by Ergun given Reynolds Number Calculator

✖Reynolds number(pb) is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.ⓘ Reynolds Number(pb) [Re_pb]			+10% -10%
✖Absolute Viscosity is the measurement of the fluid's internal resistance to flow.ⓘ Absolute Viscosity [μ]			+10% -10%
✖Void Fraction is the fraction of the channel volume that is occupied by the gas phase.ⓘ Void Fraction [∈]			+10% -10%
✖Superficial Velocity is the volumetric flow rate divided by a cross sectional area.ⓘ Superficial Velocity [U_b]			+10% -10%
✖The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.ⓘ Density [ρ]			+10% -10%

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

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Effective Particle Diameter by Ergun given Reynolds Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter(eff) = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Superficial Velocity*Density)
D_eff = (Re_pb*μ*(1-∈))/(U_b*ρ)
This formula uses 6 Variables

Variables Used

Diameter(eff) - (Measured in Meter) - Diameter(eff) is a chord that runs through the center point of the circle.
Reynolds Number(pb) - Reynolds number(pb) is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.
Absolute Viscosity - (Measured in Pascal Second) - Absolute Viscosity is the measurement of the fluid's internal resistance to flow.
Void Fraction - Void Fraction is the fraction of the channel volume that is occupied by the gas phase.
Superficial Velocity - (Measured in Meter per Second) - Superficial Velocity is the volumetric flow rate divided by a cross sectional area.
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number(pb): 200 --> No Conversion Required
Absolute Viscosity: 24.925 Pascal Second --> 24.925 Pascal Second No Conversion Required
Void Fraction: 0.75 --> No Conversion Required
Superficial Velocity: 0.05 Meter per Second --> 0.05 Meter per Second No Conversion Required
Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_eff = (Re_pb*μ*(1-∈))/(U_b*ρ) --> (200*24.925*(1-0.75))/(0.05*997)

Evaluating ... ...

D_eff = 25

STEP 3: Convert Result to Output's Unit

25 Meter --> No Conversion Required

FINAL ANSWER

25 Meter <-- Diameter(eff)

(Calculation completed in 00.004 seconds)

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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 Reynolds Number Formula

LaTeX Go

Diameter(eff) = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Superficial Velocity*Density)
D_eff = (Re_pb*μ*(1-∈))/(U_b*ρ)

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 Reynolds Number?

Effective Particle Diameter by Ergun given Reynolds Number calculator uses Diameter(eff) = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Superficial Velocity*Density) to calculate the Diameter(eff), The Effective particle diameter by Ergun given Reynolds number formula is defined as the diameter of the particle required for the given Reynolds number. Diameter(eff) is denoted by D_eff symbol.

How to calculate Effective Particle Diameter by Ergun given Reynolds Number using this online calculator? To use this online calculator for Effective Particle Diameter by Ergun given Reynolds Number, enter Reynolds Number(pb) (Re_pb), Absolute Viscosity (μ), Void Fraction (∈), Superficial Velocity (U_b) & Density (ρ) and hit the calculate button. Here is how the Effective Particle Diameter by Ergun given Reynolds Number calculation can be explained with given input values -> 0.001003 = (200*24.925*(1-0.75))/(0.05*997).

FAQ

What is Effective Particle Diameter by Ergun given Reynolds Number?

The Effective particle diameter by Ergun given Reynolds number formula is defined as the diameter of the particle required for the given Reynolds number and is represented as D_eff = (Re_pb*μ*(1-∈))/(U_b*ρ) or Diameter(eff) = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Superficial Velocity*Density). Reynolds number(pb) is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities, Absolute Viscosity is the measurement of the fluid's internal resistance to flow, Void Fraction is the fraction of the channel volume that is occupied by the gas phase, Superficial Velocity is the volumetric flow rate divided by a cross sectional area & The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.

How to calculate Effective Particle Diameter by Ergun given Reynolds Number?

The Effective particle diameter by Ergun given Reynolds number formula is defined as the diameter of the particle required for the given Reynolds number is calculated using Diameter(eff) = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Superficial Velocity*Density). To calculate Effective Particle Diameter by Ergun given Reynolds Number, you need Reynolds Number(pb) (Re_pb), Absolute Viscosity (μ), Void Fraction (∈), Superficial Velocity (U_b) & Density (ρ). With our tool, you need to enter the respective value for Reynolds Number(pb), Absolute Viscosity, Void Fraction, Superficial Velocity & Density 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 Reynolds Number(pb), Absolute Viscosity, Void Fraction, Superficial Velocity & Density. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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