Reynolds Number of Packed Beds by Ergun Calculator

✖Diameter(eff) is a chord that runs through the center point of the circle.ⓘ Diameter(eff) [D_eff]			+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%
✖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%

✖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 of Packed Beds by Ergun [Re_pb]

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Formula

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Reynolds Number of Packed Beds by Ergun

Formula

Re pb = \frac{D eff \cdot U b \cdot ρ}{μ \cdot (1 - ∈)}

Example

199.92 = \frac{24.99 m \cdot 0.05 m/s \cdot 997 kg/m³}{24.925 Pa*s \cdot (1 - 0.75)}

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Reynolds Number of Packed Beds by Ergun Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Diameter(eff) - (Measured in Meter) - Diameter(eff) is a chord that runs through the center point of the circle.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Diameter(eff): 24.99 Meter --> 24.99 Meter 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
Absolute Viscosity: 24.925 Pascal Second --> 24.925 Pascal Second No Conversion Required
Void Fraction: 0.75 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Re_pb = (D_eff*U_b*ρ)/(μ*(1-∈)) --> (24.99*0.05*997)/(24.925*(1-0.75))

Evaluating ... ...

Re_pb = 199.92

STEP 3: Convert Result to Output's Unit

199.92 --> No Conversion Required

FINAL ANSWER

199.92 <-- Reynolds Number(pb)

(Calculation completed in 00.020 seconds)

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< Flow of Liquids inside Packed Beds Calculators

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)

Reynolds Number of Packed Beds by Ergun Formula

Reynolds Number(pb) = (Diameter(eff)*Superficial Velocity*Density)/(Absolute Viscosity*(1-Void Fraction))
Re_pb = (D_eff*U_b*ρ)/(μ*(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 Reynolds Number of Packed Beds by Ergun?

Reynolds Number of Packed Beds by Ergun calculator uses Reynolds Number(pb) = (Diameter(eff)*Superficial Velocity*Density)/(Absolute Viscosity*(1-Void Fraction)) to calculate the Reynolds Number(pb), The Reynolds number of packed beds by Ergun formula is defined as 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) is denoted by Re_pb symbol.

How to calculate Reynolds Number of Packed Beds by Ergun using this online calculator? To use this online calculator for Reynolds Number of Packed Beds by Ergun, enter Diameter(eff) (D_eff), Superficial Velocity (U_b), Density (ρ), Absolute Viscosity (μ) & Void Fraction (∈) and hit the calculate button. Here is how the Reynolds Number of Packed Beds by Ergun calculation can be explained with given input values -> 5E+6 = (24.99*0.05*997)/(24.925*(1-0.75)).

FAQ

What is Reynolds Number of Packed Beds by Ergun?

The Reynolds number of packed beds by Ergun formula is defined as the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities and is represented as Re_pb = (D_eff*U_b*ρ)/(μ*(1-∈)) or Reynolds Number(pb) = (Diameter(eff)*Superficial Velocity*Density)/(Absolute Viscosity*(1-Void Fraction)). Diameter(eff) is a chord that runs through the center point of the circle, 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, 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.

How to calculate Reynolds Number of Packed Beds by Ergun?

The Reynolds number of packed beds by Ergun formula is defined as the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities is calculated using Reynolds Number(pb) = (Diameter(eff)*Superficial Velocity*Density)/(Absolute Viscosity*(1-Void Fraction)). To calculate Reynolds Number of Packed Beds by Ergun, you need Diameter(eff) (D_eff), Superficial Velocity (U_b), Density (ρ), Absolute Viscosity (μ) & Void Fraction (∈). With our tool, you need to enter the respective value for Diameter(eff), Superficial Velocity, Density, Absolute Viscosity & Void Fraction 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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