Absolute Viscosity of Fluid 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

✖Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter [D]			+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%
✖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%
✖Void Fraction is the fraction of the channel volume that is occupied by the gas phase.ⓘ Void Fraction [∈]			+10% -10%

✖Absolute Viscosity is the measurement of the fluid's internal resistance to flow.ⓘ Absolute Viscosity of Fluid by Ergun [μ]

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Formula

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Absolute Viscosity of Fluid by Ergun

Formula

`"μ" = ("D"*"U"_{"b"}*"ρ")/("Re"_{"pb"}*(1-"∈"))`

Example

`"24.925Pa*s"=("25m"*"0.05m/s"*"997kg/m³")/("200"*(1-"0.75"))`

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Absolute Viscosity of Fluid by Ergun Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Absolute Viscosity - (Measured in Pascal Second) - Absolute Viscosity is the measurement of the fluid's internal resistance to flow.
Diameter - (Measured in Meter) - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
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.
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.
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: 25 Meter --> 25 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
Reynolds Number(pb): 200 --> No Conversion Required
Void Fraction: 0.75 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = (D*U_b*ρ)/(Re_pb*(1-∈)) --> (25*0.05*997)/(200*(1-0.75))

Evaluating ... ...

μ = 24.925

STEP 3: Convert Result to Output's Unit

24.925 Pascal Second --> No Conversion Required

FINAL ANSWER

24.925 Pascal Second <-- Absolute Viscosity

(Calculation completed in 00.004 seconds)

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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

Absolute Viscosity of Fluid by Ergun Formula

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

Absolute Viscosity of Fluid by Ergun calculator uses Absolute Viscosity = (Diameter*Superficial Velocity*Density)/(Reynolds Number(pb)*(1-Void Fraction)) to calculate the Absolute Viscosity, The Absolute viscosity of fluid by Ergun formula is defined as measurement of fluid's internal resistance to flow. Absolute Viscosity is denoted by μ symbol.

How to calculate Absolute Viscosity of Fluid by Ergun using this online calculator? To use this online calculator for Absolute Viscosity of Fluid by Ergun, enter Diameter (D), Superficial Velocity (U_b), Density (ρ), Reynolds Number(pb) (Re_pb) & Void Fraction (∈) and hit the calculate button. Here is how the Absolute Viscosity of Fluid by Ergun calculation can be explained with given input values -> 24.925 = (25*0.05*997)/(200*(1-0.75)).

FAQ

What is Absolute Viscosity of Fluid by Ergun?

The Absolute viscosity of fluid by Ergun formula is defined as measurement of fluid's internal resistance to flow and is represented as μ = (D*U_b*ρ)/(Re_pb*(1-∈)) or Absolute Viscosity = (Diameter*Superficial Velocity*Density)/(Reynolds Number(pb)*(1-Void Fraction)). Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere, 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, 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 & Void Fraction is the fraction of the channel volume that is occupied by the gas phase.

How to calculate Absolute Viscosity of Fluid by Ergun?

The Absolute viscosity of fluid by Ergun formula is defined as measurement of fluid's internal resistance to flow is calculated using Absolute Viscosity = (Diameter*Superficial Velocity*Density)/(Reynolds Number(pb)*(1-Void Fraction)). To calculate Absolute Viscosity of Fluid by Ergun, you need Diameter (D), Superficial Velocity (U_b), Density (ρ), Reynolds Number(pb) (Re_pb) & Void Fraction (∈). With our tool, you need to enter the respective value for Diameter, Superficial Velocity, Density, Reynolds Number(pb) & 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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