Tortuosity Coefficient using Diffusion Coefficient of Solute Calculator

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✖The Diffusion Coefficient of Solute in Polymer Matrix is the proportionality constant between the molar flux due to molecular diffusion and the negative value of the gradient.ⓘ Diffusion Coefficient of Solute in Polymer Matrix [D_m]			+10% -10%
✖The Volume Fraction of Filler is the volume of a constituent divided by the volume of all constituents of the mixture prior to mixing.ⓘ Volume Fraction of Filler [Φ]			+10% -10%
✖The Diffusion Coefficient of Solute in Composite is the proportionality constant between the molar flux due to molecular diffusion and the negative value of the gradient.ⓘ Diffusion Coefficient of Solute in Composite [D]			+10% -10%

✖Tortuosity Coefficient is an intrinsic property of a porous material usually defined as the ratio of actual flow path length to the straight distance between the ends of the flow path.ⓘ Tortuosity Coefficient using Diffusion Coefficient of Solute [ζ]

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Formula

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Tortuosity Coefficient using Diffusion Coefficient of Solute

Formula

`"ζ" = ("D"_{"m"}*(1-"Φ"))/"D"`

Example

`"0.35"=("70cm²/s"*(1-"0.5"))/"100cm²/s"`

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Tortuosity Coefficient using Diffusion Coefficient of Solute Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tortuosity Coefficient = (Diffusion Coefficient of Solute in Polymer Matrix*(1-Volume Fraction of Filler))/Diffusion Coefficient of Solute in Composite
ζ = (D_m*(1-Φ))/D
This formula uses 4 Variables

Variables Used

Tortuosity Coefficient - Tortuosity Coefficient is an intrinsic property of a porous material usually defined as the ratio of actual flow path length to the straight distance between the ends of the flow path.
Diffusion Coefficient of Solute in Polymer Matrix - (Measured in Square Meter Per Second) - The Diffusion Coefficient of Solute in Polymer Matrix is the proportionality constant between the molar flux due to molecular diffusion and the negative value of the gradient.
Volume Fraction of Filler - The Volume Fraction of Filler is the volume of a constituent divided by the volume of all constituents of the mixture prior to mixing.
Diffusion Coefficient of Solute in Composite - (Measured in Square Meter Per Second) - The Diffusion Coefficient of Solute in Composite is the proportionality constant between the molar flux due to molecular diffusion and the negative value of the gradient.

STEP 1: Convert Input(s) to Base Unit

Diffusion Coefficient of Solute in Polymer Matrix: 70 Square Centimeter Per Second --> 0.007 Square Meter Per Second (Check conversion here)
Volume Fraction of Filler: 0.5 --> No Conversion Required
Diffusion Coefficient of Solute in Composite: 100 Square Centimeter Per Second --> 0.01 Square Meter Per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ζ = (D_m*(1-Φ))/D --> (0.007*(1-0.5))/0.01

Evaluating ... ...

ζ = 0.35

STEP 3: Convert Result to Output's Unit

0.35 --> No Conversion Required

FINAL ANSWER

0.35 <-- Tortuosity Coefficient

(Calculation completed in 00.004 seconds)

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Diffusion Coefficient of Solute in Polymer Matrix given Volume Fraction

Go Diffusion Coefficient of Solute in Polymer Matrix = (Diffusion Coefficient of Solute in Composite*Tortuosity Coefficient)/(1-Volume Fraction of Filler)

Diffusion Coefficient of Solute in Composite given Volume Fraction

Go Diffusion Coefficient of Solute in Composite = (Diffusion Coefficient of Solute in Polymer Matrix*(1-Volume Fraction of Filler))/Tortuosity Coefficient

Tortuosity Coefficient using Diffusion Coefficient of Solute

Go Tortuosity Coefficient = (Diffusion Coefficient of Solute in Polymer Matrix*(1-Volume Fraction of Filler))/Diffusion Coefficient of Solute in Composite

Tortuosity Coefficient using Thickness and Diameter of Disks

Go Tortuosity Coefficient = 1+(Diameter of Disks*Volume Fraction of Filler)/Thickness of Disks

Tortuosity Coefficient using Diffusion Coefficient of Solute Formula

Tortuosity Coefficient = (Diffusion Coefficient of Solute in Polymer Matrix*(1-Volume Fraction of Filler))/Diffusion Coefficient of Solute in Composite
ζ = (D_m*(1-Φ))/D

What is Tortuosity?

Tortuosity is a ratio that characterizes the convoluted pathways of fluid diffusion and electrical conduction through porous media.

How to Calculate Tortuosity Coefficient using Diffusion Coefficient of Solute?

Tortuosity Coefficient using Diffusion Coefficient of Solute calculator uses Tortuosity Coefficient = (Diffusion Coefficient of Solute in Polymer Matrix*(1-Volume Fraction of Filler))/Diffusion Coefficient of Solute in Composite to calculate the Tortuosity Coefficient, The Tortuosity Coefficient using Diffusion Coefficient of Solute formula is defined as an intrinsic property of a porous material usually defined as the ratio of actual flow path length to the straight distance between the ends of the flow path. Tortuosity Coefficient is denoted by ζ symbol.

How to calculate Tortuosity Coefficient using Diffusion Coefficient of Solute using this online calculator? To use this online calculator for Tortuosity Coefficient using Diffusion Coefficient of Solute, enter Diffusion Coefficient of Solute in Polymer Matrix (D_m), Volume Fraction of Filler (Φ) & Diffusion Coefficient of Solute in Composite (D) and hit the calculate button. Here is how the Tortuosity Coefficient using Diffusion Coefficient of Solute calculation can be explained with given input values -> 0.35 = (0.007*(1-0.5))/0.01.

FAQ

What is Tortuosity Coefficient using Diffusion Coefficient of Solute?

The Tortuosity Coefficient using Diffusion Coefficient of Solute formula is defined as an intrinsic property of a porous material usually defined as the ratio of actual flow path length to the straight distance between the ends of the flow path and is represented as ζ = (D_m*(1-Φ))/D or Tortuosity Coefficient = (Diffusion Coefficient of Solute in Polymer Matrix*(1-Volume Fraction of Filler))/Diffusion Coefficient of Solute in Composite. The Diffusion Coefficient of Solute in Polymer Matrix is the proportionality constant between the molar flux due to molecular diffusion and the negative value of the gradient, The Volume Fraction of Filler is the volume of a constituent divided by the volume of all constituents of the mixture prior to mixing & The Diffusion Coefficient of Solute in Composite is the proportionality constant between the molar flux due to molecular diffusion and the negative value of the gradient.

How to calculate Tortuosity Coefficient using Diffusion Coefficient of Solute?

The Tortuosity Coefficient using Diffusion Coefficient of Solute formula is defined as an intrinsic property of a porous material usually defined as the ratio of actual flow path length to the straight distance between the ends of the flow path is calculated using Tortuosity Coefficient = (Diffusion Coefficient of Solute in Polymer Matrix*(1-Volume Fraction of Filler))/Diffusion Coefficient of Solute in Composite. To calculate Tortuosity Coefficient using Diffusion Coefficient of Solute, you need Diffusion Coefficient of Solute in Polymer Matrix (D_m), Volume Fraction of Filler (Φ) & Diffusion Coefficient of Solute in Composite (D). With our tool, you need to enter the respective value for Diffusion Coefficient of Solute in Polymer Matrix, Volume Fraction of Filler & Diffusion Coefficient of Solute in Composite 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 Tortuosity Coefficient?

In this formula, Tortuosity Coefficient uses Diffusion Coefficient of Solute in Polymer Matrix, Volume Fraction of Filler & Diffusion Coefficient of Solute in Composite. We can use 1 other way(s) to calculate the same, which is/are as follows -

Tortuosity Coefficient = 1+(Diameter of Disks*Volume Fraction of Filler)/Thickness of Disks

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