cross-sectional area

How to Calculate and Solve for Steady State Diffusion | Diffusion in Alloying

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The image above represents steady state diffusion.

To compute for steady state diffusion, three essential parameters are needed and these parameters are Diffusion Gradient (dC/dx), Cross-sectional Area (A) and Time (t).

The formula for calculating steady state diffusion:

J = dC/dx/At

Where:

J = Steady State Diffusion
dC/dx = Diffusion Gradient
A = Cross-sectional Area
t = Time

Given an example;
Find the steady state diffusion when the diffusion coefficient is 12, the cross-sectional area is 4 and time is 2.

This implies that;

dC/dx = Diffusion Gradient = 12
A = Cross-sectional Area = 4
t = Time = 2

J = dC/dx/At
J = 12/(4)(2)
J = 12/8
J = 1.5

Therefore, the steady state diffusion is 1.5mol m-2 s-1.

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How to Calculate and Solve for Diffusion Flux | Diffusion in Alloying

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The image above represents diffusion flux.

To compute for diffusion flux, three essential parameters are needed and these parameters are Mass Transfer (M), Cross-sectional Area (A) and Time (t).

The formula for calculating diffusion flux:

J = M/At

Where:

J = Diffusion Flux
M = Mass Transfer
A = Cross-sectional Area
t = Time

Given an example;
Find the diffusion flux when the mass transfer is 8, the cross-sectional area is 2 and the time is 6.

This implies that;

M = Mass Transfer = 8
A = Cross-sectional Area = 2
t = Time = 6

J = M/At
J = 8/(2)(6)
J = 8/12
J = 0.66

Therefore, the diffusion flux is 0.66 mol m-2 s-1.

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How to Calculate and Solve for Cross-Sectional Area | Electric Resistivity

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The cross-sectional area is illustrated by the image below.

To compute for cross-sectional area, three essential parameters are needed and these parameters are Resistivity (ρ), Length (l) and Resistance (R).

The formula for calculating cross-sectional area:

A = pl/R

Where:

A = Cross-sectional Area
ρ = resistivity
R = Resistance
l = Length

Let’s solve an example;
Find the cross-sectional area when the resistivity is 4, the resistance is 12 and length is 6.

This implies that;

ρ = resistivity = 4
R = Resistance = 12
l = Length = 6

A = pl/R
A = (4)(6)/12
A = (24)/12
A = 2

Therefore, the cross-sectional area is 2m².

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How to Calculate and Solve for Resistivity | Electric Resistivity

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The resistivity is illustrated by the image below.

To compute for resistivity, three essential parameters are needed and these parameters are Cross-sectional Area (A), Length (l) and Resistance (R).

The formula for calculating the resistivity:

ρ = RA/l

Where:
ρ = resistivity
R = Resistance
A = Cross-sectional Area
l = Length

Let’s solve an example;
Find the resistivity when the resistance is 10, the cross-sectional area is 4 and the length is 2.

This implies that;

R = Resistance = 10
A = Cross-sectional Area = 4
l = Length = 2

ρ = RA/l
ρ = (2)(10)/4
ρ = (20)/4
ρ = 5

Therefore, the resistivity is 5Ω-m.

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