Bodenstein Number Calculator

✖Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.ⓘ Fluid Velocity [u_fluid]			+10% -10%
✖Diameter of Tube is the Outer Diameter of the Tube, where the Fluid is subjected to flow through it.ⓘ Diameter of Tube [d_Tube]			+10% -10%
✖Diffusion Coefficient of Flow for Dispersion is Diffusion of respective Fluid into the Stream, where the fluid is subjected to flow.ⓘ Diffusion Coefficient of Flow for Dispersion [D_f]			+10% -10%

✖Bodenstien Number is the Product of Reynolds Number and Schmidt Number.ⓘ Bodenstein Number [Bo]

⎘ Copy

👎

Formula

✖

Bodenstein Number

Formula

`"Bo" = ("u"_{"fluid"}*"d"_{"Tube"})/"D"_{"f"}`

Example

`"77.59132"=("70m/s"*"0.971m")/"0.876m²/s"`

Calculator

LaTeX

Reset

👍

Download Flow Pattern, Contacting and Non Ideal Flow Formula PDF PDF Image

Bodenstein Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bodenstien Number = (Fluid Velocity*Diameter of Tube)/Diffusion Coefficient of Flow for Dispersion
Bo = (u_fluid*d_Tube)/D_f
This formula uses 4 Variables

Variables Used

Bodenstien Number - Bodenstien Number is the Product of Reynolds Number and Schmidt Number.
Fluid Velocity - (Measured in Meter per Second) - Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.
Diameter of Tube - (Measured in Meter) - Diameter of Tube is the Outer Diameter of the Tube, where the Fluid is subjected to flow through it.
Diffusion Coefficient of Flow for Dispersion - (Measured in Square Meter Per Second) - Diffusion Coefficient of Flow for Dispersion is Diffusion of respective Fluid into the Stream, where the fluid is subjected to flow.

STEP 1: Convert Input(s) to Base Unit

Fluid Velocity: 70 Meter per Second --> 70 Meter per Second No Conversion Required
Diameter of Tube: 0.971 Meter --> 0.971 Meter No Conversion Required
Diffusion Coefficient of Flow for Dispersion: 0.876 Square Meter Per Second --> 0.876 Square Meter Per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Bo = (u_fluid*d_Tube)/D_f --> (70*0.971)/0.876

Evaluating ... ...

Bo = 77.5913242009132

STEP 3: Convert Result to Output's Unit

77.5913242009132 --> No Conversion Required

FINAL ANSWER

77.5913242009132 ≈ 77.59132 <-- Bodenstien Number

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Chemical Engineering » Chemical Reaction Engineering » Flow Pattern, Contacting and Non Ideal Flow » Convection Model for Laminar Flow » Bodenstein Number

Credits

Created by Pavan Kumar

Anurag Group of Institutions (AGI), Hyderabad

Pavan Kumar has created this Calculator and 100+ more calculators!

Verified by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has verified this Calculator and 1600+ more calculators!

< 9 Convection Model for Laminar Flow Calculators

Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors

Go Reactant Concentration = Initial Reactant Conc.*(1-(Rate Constant for Second Order Reaction*Mean Pulse Curve*Initial Reactant Conc.)*(1-((Rate Constant for Second Order Reaction*Mean Pulse Curve*Initial Reactant Conc.)/2)*ln(1+(2/(Rate Constant for Second Order Reaction*Mean Pulse Curve*Initial Reactant Conc.)))))

Dispersion using General Axis Expression

Go Dispersion Coefficient for General Axis Expression = Diffusion Coefficient for General Axis Dispersion+(Velocity of Pulse for General Axis Expression^2*Diameter of Tube^2)/(192*Diffusion Coefficient for General Axis Dispersion)

Reactant Concentration for Chemical Conversions for Zero Order in Laminar Flow Reactors

Go Reactant Concentration = Initial Reactant Conc.*(1-((Rate Constant for Zero Order Reaction*Mean Pulse Curve)/(2*Initial Reactant Conc.))^2)

Dispersion using Taylor Expression Formula

Go Dispersion Coefficient for Taylor Expression = (Velocity of Pulse for Taylor Expression^2*Diameter of Tube^2)/(192*Diffusion Coefficient for Taylor Dispersion)

Bodenstein Number

Go Bodenstien Number = (Fluid Velocity*Diameter of Tube)/Diffusion Coefficient of Flow for Dispersion

Mean Residence Time for Proper RTD

Go Mean Residence Time = sqrt(1/(4*(1-F Curve)))

F Curve for Laminar Flow in Pipes for Proper RTD

Go F Curve = 1-(1/(4*Mean Residence Time^2))

Mean Residence Time for Improper RTD

Go Mean Residence Time = 1/(2*(1-F Curve))

F Curve for Laminar Flow in Pipes for Improper RTD

Go F Curve = 1-1/(2*Mean Residence Time)

Bodenstein Number Formula

Bodenstien Number = (Fluid Velocity*Diameter of Tube)/Diffusion Coefficient of Flow for Dispersion
Bo = (u_fluid*d_Tube)/D_f

Define Bodenstien Number terms of Dimensionless Quantity

Bodenstien Number is the product of Reynolds Number and Schmidt Number, which is used to Determine the Flow Regime.
Bo = Re * Sc

How the Diffusion Coefficient is used in the Formula?

Diffusion Coefficient is obtained from the Schimdt Number where it is the ratio between Viscosity and product of Density and Diffusion Coefficient.

How to Calculate Bodenstein Number?

Bodenstein Number calculator uses Bodenstien Number = (Fluid Velocity*Diameter of Tube)/Diffusion Coefficient of Flow for Dispersion to calculate the Bodenstien Number, The Bodenstein Number formula is defined as a Dimensionless Quantity used in Chemical Engineering and Fluid Dynamics to Characterize the relative Importance of Chemical Reaction rates compared to Fluid Transport rates. It is ratio between product of Diameter of Tube and Velociy of Fluid to Diffusion Coefficient. Bodenstien Number is denoted by Bo symbol.

How to calculate Bodenstein Number using this online calculator? To use this online calculator for Bodenstein Number, enter Fluid Velocity (u_fluid), Diameter of Tube (d_Tube) & Diffusion Coefficient of Flow for Dispersion (D_f) and hit the calculate button. Here is how the Bodenstein Number calculation can be explained with given input values -> 0.953265 = (70*0.971)/0.876.

FAQ

What is Bodenstein Number?

The Bodenstein Number formula is defined as a Dimensionless Quantity used in Chemical Engineering and Fluid Dynamics to Characterize the relative Importance of Chemical Reaction rates compared to Fluid Transport rates. It is ratio between product of Diameter of Tube and Velociy of Fluid to Diffusion Coefficient and is represented as Bo = (u_fluid*d_Tube)/D_f or Bodenstien Number = (Fluid Velocity*Diameter of Tube)/Diffusion Coefficient of Flow for Dispersion. Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area, Diameter of Tube is the Outer Diameter of the Tube, where the Fluid is subjected to flow through it & Diffusion Coefficient of Flow for Dispersion is Diffusion of respective Fluid into the Stream, where the fluid is subjected to flow.

How to calculate Bodenstein Number?

The Bodenstein Number formula is defined as a Dimensionless Quantity used in Chemical Engineering and Fluid Dynamics to Characterize the relative Importance of Chemical Reaction rates compared to Fluid Transport rates. It is ratio between product of Diameter of Tube and Velociy of Fluid to Diffusion Coefficient is calculated using Bodenstien Number = (Fluid Velocity*Diameter of Tube)/Diffusion Coefficient of Flow for Dispersion. To calculate Bodenstein Number, you need Fluid Velocity (u_fluid), Diameter of Tube (d_Tube) & Diffusion Coefficient of Flow for Dispersion (D_f). With our tool, you need to enter the respective value for Fluid Velocity, Diameter of Tube & Diffusion Coefficient of Flow for Dispersion and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search