Superficial Velocity by Ergun given Reynolds Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Superficial Velocity = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Diameter(eff)*Density)
Ub = (Repb*μ*(1-))/(Deff*ρ)
This formula uses 6 Variables
Variables Used
Superficial Velocity - (Measured in Meter per Second) - Superficial Velocity is the volumetric flow rate divided by a cross sectional area.
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.
Diameter(eff) - (Measured in Meter) - Diameter(eff) is a chord that runs through the center point of the circle.
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
Diameter(eff): 24.99 Meter --> 24.99 Meter 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
Ub = (Repb*μ*(1-∈))/(Deff*ρ) --> (200*24.925*(1-0.75))/(24.99*997)
Evaluating ... ...
Ub = 0.0500200080032013
STEP 3: Convert Result to Output's Unit
0.0500200080032013 Meter per Second --> No Conversion Required
FINAL ANSWER
0.0500200080032013 0.05002 Meter per Second <-- Superficial Velocity
(Calculation completed in 00.004 seconds)

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

Superficial Velocity by Ergun given Reynolds Number Formula

Superficial Velocity = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Diameter(eff)*Density)
Ub = (Repb*μ*(1-))/(Deff*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 Superficial Velocity by Ergun given Reynolds Number?

Superficial Velocity by Ergun given Reynolds Number calculator uses Superficial Velocity = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Diameter(eff)*Density) to calculate the Superficial Velocity, The Superficial velocity by Ergun given Reynolds number formula is defined as the volumetric flow rate of that fluid divided by the cross-sectional area. Superficial Velocity is denoted by Ub symbol.

How to calculate Superficial Velocity by Ergun given Reynolds Number using this online calculator? To use this online calculator for Superficial Velocity by Ergun given Reynolds Number, enter Reynolds Number(pb) (Repb), Absolute Viscosity (μ), Void Fraction (∈), Diameter(eff) (Deff) & Density (ρ) and hit the calculate button. Here is how the Superficial Velocity by Ergun given Reynolds Number calculation can be explained with given input values -> 2E-6 = (200*24.925*(1-0.75))/(24.99*997).

FAQ

What is Superficial Velocity by Ergun given Reynolds Number?
The Superficial velocity by Ergun given Reynolds number formula is defined as the volumetric flow rate of that fluid divided by the cross-sectional area and is represented as Ub = (Repb*μ*(1-∈))/(Deff*ρ) or Superficial Velocity = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Diameter(eff)*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, Diameter(eff) is a chord that runs through the center point of the circle & 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 Superficial Velocity by Ergun given Reynolds Number?
The Superficial velocity by Ergun given Reynolds number formula is defined as the volumetric flow rate of that fluid divided by the cross-sectional area is calculated using Superficial Velocity = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Diameter(eff)*Density). To calculate Superficial Velocity by Ergun given Reynolds Number, you need Reynolds Number(pb) (Repb), Absolute Viscosity (μ), Void Fraction (∈), Diameter(eff) (Deff) & Density (ρ). With our tool, you need to enter the respective value for Reynolds Number(pb), Absolute Viscosity, Void Fraction, Diameter(eff) & Density 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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