Mass Transfer Coefficient of Fluid passing through Single Particle Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
kg = (2+0.6*(((ρ*u *dTube)/μ)^(1/2))*((μ/(ρ*d))^(1/3)))*(d/dTube)
This formula uses 6 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.
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.
Velocity in Tube - (Measured in Meter per Second) - Velocity in Tube is the Velocity of the fluid throughout the pipe.
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.
Dynamic Viscosity of Liquid - (Measured in Pascal Second) - The Dynamic Viscosity of Liquid is the measure of its resistance to flow when an external force is applied.
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.
STEP 1: Convert Input(s) to Base Unit
Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Velocity in Tube: 5.3 Meter per Second --> 5.3 Meter per Second No Conversion Required
Diameter of Tube: 5.88E-05 Meter --> 5.88E-05 Meter No Conversion Required
Dynamic Viscosity of Liquid: 0.135 Pascal Second --> 0.135 Pascal Second No Conversion Required
Diffusivity of Flow: 1.934E-05 Square Meter Per Second --> 1.934E-05 Square Meter Per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
kg = (2+0.6*(((ρ*u *dTube)/μ)^(1/2))*((μ/(ρ*d))^(1/3)))*(d/dTube) --> (2+0.6*(((997*5.3*5.88E-05)/0.135)^(1/2))*((0.135/(997*1.934E-05))^(1/3)))*(1.934E-05/5.88E-05)
Evaluating ... ...
kg = 1.23057308848122
STEP 3: Convert Result to Output's Unit
1.23057308848122 Meter per Second --> No Conversion Required
FINAL ANSWER
1.23057308848122 1.230573 Meter per Second <-- Overall Gas Phase Mass Transfer Coefficient
(Calculation completed in 00.007 seconds)

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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 Single Particle Formula

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)
kg = (2+0.6*(((ρ*u *dTube)/μ)^(1/2))*((μ/(ρ*d))^(1/3)))*(d/dTube)

What is kg ?

kg is Overall Gas Phase Mass Transfer Coefficient, which is a function of the gas flow rate because the interface surface area i.e., the surface area of the air bubbles) increases as the gas flow rate increases.

How to Calculate Mass Transfer Coefficient of Fluid passing through Single Particle?

Mass Transfer Coefficient of Fluid passing through Single Particle calculator uses 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) to calculate the Overall Gas Phase Mass Transfer Coefficient, The Mass Transfer Coefficient of Fluid passing through Single Particle formula is defined as Overall Gas Phase Mass Transfer Coefficient calculated, when fluid is passing through a single particle. Overall Gas Phase Mass Transfer Coefficient is denoted by kg symbol.

How to calculate Mass Transfer Coefficient of Fluid passing through Single Particle using this online calculator? To use this online calculator for Mass Transfer Coefficient of Fluid passing through Single Particle, enter Density (ρ), Velocity in Tube (u ), Diameter of Tube (dTube), Dynamic Viscosity of Liquid (μ) & Diffusivity of Flow (d) and hit the calculate button. Here is how the Mass Transfer Coefficient of Fluid passing through Single Particle calculation can be explained with given input values -> 1.230573 = (2+0.6*(((997*5.3*5.88E-05)/0.135)^(1/2))*((0.135/(997*1.934E-05))^(1/3)))*(1.934E-05/5.88E-05).

FAQ

What is Mass Transfer Coefficient of Fluid passing through Single Particle?
The Mass Transfer Coefficient of Fluid passing through Single Particle formula is defined as Overall Gas Phase Mass Transfer Coefficient calculated, when fluid is passing through a single particle and is represented as kg = (2+0.6*(((ρ*u *dTube)/μ)^(1/2))*((μ/(ρ*d))^(1/3)))*(d/dTube) or 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). 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, Velocity in Tube is the Velocity of the fluid throughout the pipe, Diameter of Tube is the Outer Diameter of the Tube, where the Fluid is subjected to flow through it, The Dynamic Viscosity of Liquid is the measure of its resistance to flow when an external force is applied & Diffusivity of Flow is Diffusion of respective Fluid into the Stream, where the fluid is subjected to flow.
How to calculate Mass Transfer Coefficient of Fluid passing through Single Particle?
The Mass Transfer Coefficient of Fluid passing through Single Particle formula is defined as Overall Gas Phase Mass Transfer Coefficient calculated, when fluid is passing through a single particle is calculated using 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). To calculate Mass Transfer Coefficient of Fluid passing through Single Particle, you need Density (ρ), Velocity in Tube (u ), Diameter of Tube (dTube), Dynamic Viscosity of Liquid (μ) & Diffusivity of Flow (d). With our tool, you need to enter the respective value for Density, Velocity in Tube, Diameter of Tube, Dynamic Viscosity of Liquid & Diffusivity of Flow 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 Density, Velocity in Tube, Diameter of Tube, Dynamic Viscosity of Liquid & Diffusivity of Flow. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Overall Gas Phase Mass Transfer Coefficient = (2+1.8*((Reynolds Number)^(1/2)*(Schimdt Number)^(1/3)))*(Diffusivity of Flow/Diameter of Tube)
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