Mass Transfer Coefficient of Fluid passing through Packed Bed of Particles Calculator

✖The Reynolds number 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 [Re]			+10% -10%
✖Schimdt Number is relation between viscosity and Diffusivity.ⓘ Schimdt Number [Sc]			+10% -10%
✖Diffusivity of Flow is Diffusion of respective Fluid into the Stream, where the fluid is subjected to flow.ⓘ Diffusivity of Flow [d]			+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%

✖Overall Gas Phase Mass Transfer Coefficient describes the efficiency of mass transfer between a gas phase and a liquid phase in a system.ⓘ Mass Transfer Coefficient of Fluid passing through Packed Bed of Particles [k_g]

⎘ Copy

👎

Formula

✖

Mass Transfer Coefficient of Fluid passing through Packed Bed of Particles

Formula

`"k"_{"g"} = (2+1.8*(("Re")^(1/2)*("Sc")^(1/3)))*("d"/"d"_{"Tube"})`

Example

`"1.25275m/s"=(2+1.8*(("5000")^(1/2)*("2.87E^-6")^(1/3)))*("1.934E^-5m²/s"/"5.88E^-5m")`

Calculator

LaTeX

Reset

👍

Download Chemical Reaction Engineering Formula PDF PDF Image

Mass Transfer Coefficient of Fluid passing through Packed Bed of Particles Solution

STEP 0: Pre-Calculation Summary

Formula Used

Overall Gas Phase Mass Transfer Coefficient = (2+1.8*((Reynolds Number)^(1/2)*(Schimdt Number)^(1/3)))*(Diffusivity of Flow/Diameter of Tube)
k_g = (2+1.8*((Re)^(1/2)*(Sc)^(1/3)))*(d/d_Tube)
This formula uses 5 Variables

Variables Used

Overall Gas Phase Mass Transfer Coefficient - (Measured in Meter per Second) - Overall Gas Phase Mass Transfer Coefficient describes the efficiency of mass transfer between a gas phase and a liquid phase in a system.
Reynolds Number - The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.
Schimdt Number - Schimdt Number is relation between viscosity and Diffusivity.
Diffusivity of Flow - (Measured in Square Meter Per Second) - Diffusivity of Flow is Diffusion of respective Fluid into the Stream, where the fluid is subjected to flow.
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.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number: 5000 --> No Conversion Required
Schimdt Number: 2.87E-06 --> No Conversion Required
Diffusivity of Flow: 1.934E-05 Square Meter Per Second --> 1.934E-05 Square Meter Per Second No Conversion Required
Diameter of Tube: 5.88E-05 Meter --> 5.88E-05 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_g = (2+1.8*((Re)^(1/2)*(Sc)^(1/3)))*(d/d_Tube) --> (2+1.8*((5000)^(1/2)*(2.87E-06)^(1/3)))*(1.934E-05/5.88E-05)

Evaluating ... ...

k_g = 1.25275049991451

STEP 3: Convert Result to Output's Unit

1.25275049991451 Meter per Second --> No Conversion Required

FINAL ANSWER

1.25275049991451 ≈ 1.25275 Meter per Second <-- Overall Gas Phase Mass Transfer Coefficient

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Chemical Engineering » Chemical Reaction Engineering » Reactions Catalyzed by Solids » Solid Catalyzed Reactions » Mass Transfer Coefficient of Fluid passing through Packed Bed of Particles

Credits

Created by Pavan Kumar

Anurag Group of Institutions (AGI), Hyderabad

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

Verified by Heet

Thadomal Shahani Engineering College (Tsec), Mumbai

Heet has verified this Calculator and 25+ more calculators!

< 10+ Solid Catalyzed Reactions Calculators

Mass Transfer Coefficient of Fluid passing through Single Particle

Go Overall Gas Phase Mass Transfer Coefficient = (2+0.6*(((Density*Velocity in Tube*Diameter of Tube)/Dynamic Viscosity of Liquid)^(1/2))*((Dynamic Viscosity of Liquid/(Density*Diffusivity of Flow))^(1/3)))*(Diffusivity of Flow/Diameter of Tube)

Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order

Go Initial Concentration of Reactant = Reactant Concentration*(exp((Reaction Rate based on Volume of Catalyst Pellets*Solid Fraction*Height of Catalyst Bed)/Superficial Gas Velocity))

Rate Constant for Mixed Flow Reactor with Weight of Catalyst

Go Rate Const. based on Weight of Catalyst = (Reactant Conversion*(1+Fractional Volume Change*Reactant Conversion))/((1-Reactant Conversion)*Space Time for Reaction for Weight of Catalyst)

Space Time of Mixed Flow Reactor with Weight of Catalyst

Go Space Time for Reaction for Weight of Catalyst = (Reactant Conversion*(1+Fractional Volume Change*Reactant Conversion))/((1-Reactant Conversion)*Rate Const. based on Weight of Catalyst)

Rate Constant for Mixed Flow Reactor with Volume of Catalyst

Go Rate Const. on Volume of Pellets = (Reactant Conversion*(1+Fractional Volume Change*Reactant Conversion))/((1-Reactant Conversion)*Space Time based on Volume of Catalyst)

Space Time of Mixed Flow Reactor with Volume of Catalyst

Go Space Time based on Volume of Catalyst = (Reactant Conversion*(1+Fractional Volume Change*Reactant Conversion))/((1-Reactant Conversion)*Rate Const. on Volume of Pellets)

Mass Transfer Coefficient of Fluid passing through Packed Bed of Particles

Go Overall Gas Phase Mass Transfer Coefficient = (2+1.8*((Reynolds Number)^(1/2)*(Schimdt Number)^(1/3)))*(Diffusivity of Flow/Diameter of Tube)

Rate of Reaction in Mixed Flow Reactor Containing Catalyst

Go Rate of Reaction on Weight of Catalyst Pellets = ((Molar Feed Rate of Reactant*Reactant Conversion)/Weight of Catalyst)

Thiele Modulus

Go Thiele Modulus = Length of Catalyst Pore*sqrt(Rate Constant/Diffusion Coefficient)

Effectiveness Factor at First Order

Go Effectiveness Factor = tanh(Thiele Modulus)/Thiele Modulus

Mass Transfer Coefficient of Fluid passing through Packed Bed of Particles Formula

Overall Gas Phase Mass Transfer Coefficient = (2+1.8*((Reynolds Number)^(1/2)*(Schimdt Number)^(1/3)))*(Diffusivity of Flow/Diameter of Tube)
k_g = (2+1.8*((Re)^(1/2)*(Sc)^(1/3)))*(d/d_Tube)

What is Re ?

The Reynolds number (Re) is a dimensionless quantity used in fluid mechanics and heat transfer to predict the flow patterns in different fluid flow situations.

What is Sc ?

The Schmidt number (Sc) is a dimensionless number used in fluid mechanics and heat transfer to characterize the relative importance of momentum and mass transfer in a fluid. It is particularly relevant in situations where both heat and mass transfer are occurring simultaneously.

How to Calculate Mass Transfer Coefficient of Fluid passing through Packed Bed of Particles?

Mass Transfer Coefficient of Fluid passing through Packed Bed of Particles calculator uses Overall Gas Phase Mass Transfer Coefficient = (2+1.8*((Reynolds Number)^(1/2)*(Schimdt Number)^(1/3)))*(Diffusivity of Flow/Diameter of Tube) to calculate the Overall Gas Phase Mass Transfer Coefficient, The Mass Transfer Coefficient of Fluid passing through Packed Bed of Particles formula is defined as Overall Gas Phase Mass Transfer Coefficient calculated, when fluid is passing through Packed Bed of Particles. Overall Gas Phase Mass Transfer Coefficient is denoted by k_g symbol.

How to calculate Mass Transfer Coefficient of Fluid passing through Packed Bed of Particles using this online calculator? To use this online calculator for Mass Transfer Coefficient of Fluid passing through Packed Bed of Particles, enter Reynolds Number (Re), Schimdt Number (Sc), Diffusivity of Flow (d) & Diameter of Tube (d_Tube) and hit the calculate button. Here is how the Mass Transfer Coefficient of Fluid passing through Packed Bed of Particles calculation can be explained with given input values -> 1.25275 = (2+1.8*((5000)^(1/2)*(2.87E-06)^(1/3)))*(1.934E-05/5.88E-05).

FAQ

What is Mass Transfer Coefficient of Fluid passing through Packed Bed of Particles?

The Mass Transfer Coefficient of Fluid passing through Packed Bed of Particles formula is defined as Overall Gas Phase Mass Transfer Coefficient calculated, when fluid is passing through Packed Bed of Particles and is represented as k_g = (2+1.8*((Re)^(1/2)*(Sc)^(1/3)))*(d/d_Tube) or Overall Gas Phase Mass Transfer Coefficient = (2+1.8*((Reynolds Number)^(1/2)*(Schimdt Number)^(1/3)))*(Diffusivity of Flow/Diameter of Tube). The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities, Schimdt Number is relation between viscosity and Diffusivity, Diffusivity of Flow is Diffusion of respective Fluid into the Stream, where the fluid is subjected to flow & Diameter of Tube is the Outer Diameter of the Tube, where the Fluid is subjected to flow through it.

How to calculate Mass Transfer Coefficient of Fluid passing through Packed Bed of Particles?

The Mass Transfer Coefficient of Fluid passing through Packed Bed of Particles formula is defined as Overall Gas Phase Mass Transfer Coefficient calculated, when fluid is passing through Packed Bed of Particles is calculated using Overall Gas Phase Mass Transfer Coefficient = (2+1.8*((Reynolds Number)^(1/2)*(Schimdt Number)^(1/3)))*(Diffusivity of Flow/Diameter of Tube). To calculate Mass Transfer Coefficient of Fluid passing through Packed Bed of Particles, you need Reynolds Number (Re), Schimdt Number (Sc), Diffusivity of Flow (d) & Diameter of Tube (d_Tube). With our tool, you need to enter the respective value for Reynolds Number, Schimdt Number, Diffusivity of Flow & Diameter of Tube and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Overall Gas Phase Mass Transfer Coefficient?

In this formula, Overall Gas Phase Mass Transfer Coefficient uses Reynolds Number, Schimdt Number, Diffusivity of Flow & Diameter of Tube. We can use 1 other way(s) to calculate the same, which is/are as follows -

Overall Gas Phase Mass Transfer Coefficient = (2+0.6*(((Density*Velocity in Tube*Diameter of Tube)/Dynamic Viscosity of Liquid)^(1/2))*((Dynamic Viscosity of Liquid/(Density*Diffusivity of Flow))^(1/3)))*(Diffusivity of Flow/Diameter of Tube)

Home

FREE PDFs

🔍 Search