Density of Fluid by Ergun Solution

STEP 0: Pre-Calculation Summary
Formula Used
Density = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Diameter(eff)*Superficial Velocity)
ρ = (Repb*μ*(1-))/(Deff*Ub)
This formula uses 6 Variables
Variables Used
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.
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.
Superficial Velocity - (Measured in Meter per Second) - Superficial Velocity is the volumetric flow rate divided by a cross sectional area.
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
Superficial Velocity: 0.05 Meter per Second --> 0.05 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ρ = (Repb*μ*(1-∈))/(Deff*Ub) --> (200*24.925*(1-0.75))/(24.99*0.05)
Evaluating ... ...
ρ = 997.398959583834
STEP 3: Convert Result to Output's Unit
997.398959583834 Kilogram per Cubic Meter --> No Conversion Required
FINAL ANSWER
997.398959583834 997.399 Kilogram per Cubic Meter <-- Density
(Calculation completed in 00.020 seconds)

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

Density of Fluid by Ergun Formula

​LaTeX ​Go
Density = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Diameter(eff)*Superficial Velocity)
ρ = (Repb*μ*(1-))/(Deff*Ub)

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 Density of Fluid by Ergun?

Density of Fluid by Ergun calculator uses Density = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Diameter(eff)*Superficial Velocity) to calculate the Density, The Density of fluid by Ergun formula is defined as mass of a unit volume of a material substance. Density is denoted by ρ symbol.

How to calculate Density of Fluid by Ergun using this online calculator? To use this online calculator for Density of Fluid by Ergun, enter Reynolds Number(pb) (Repb), Absolute Viscosity (μ), Void Fraction (∈), Diameter(eff) (Deff) & Superficial Velocity (Ub) and hit the calculate button. Here is how the Density of Fluid by Ergun calculation can be explained with given input values -> 0.040016 = (200*24.925*(1-0.75))/(24.99*0.05).

FAQ

What is Density of Fluid by Ergun?
The Density of fluid by Ergun formula is defined as mass of a unit volume of a material substance and is represented as ρ = (Repb*μ*(1-∈))/(Deff*Ub) or Density = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Diameter(eff)*Superficial Velocity). 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 & Superficial Velocity is the volumetric flow rate divided by a cross sectional area.
How to calculate Density of Fluid by Ergun?
The Density of fluid by Ergun formula is defined as mass of a unit volume of a material substance is calculated using Density = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Diameter(eff)*Superficial Velocity). To calculate Density of Fluid by Ergun, you need Reynolds Number(pb) (Repb), Absolute Viscosity (μ), Void Fraction (∈), Diameter(eff) (Deff) & Superficial Velocity (Ub). With our tool, you need to enter the respective value for Reynolds Number(pb), Absolute Viscosity, Void Fraction, Diameter(eff) & Superficial Velocity 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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