Calculate the flux (J) Between points x and y

In summary, the conversation discusses the diffusion of Ni in FCC Fe, with 0.3 atoms % of Ni in a solid solution at point x and 0.2 atoms % at point y, 1 mm away. The temperature is 1000°C and the diffusion coefficient is given as 2ε-16M2/s. The task is to calculate the flux (J) between points x & y, with additional information needed to solve the equation J = -D(dc/dx).
  • #1
alevis
17
0
The diffusion of Ni in FCC Fe. There is 0.3 atoms % of Ni in a solid solution in FCC Fe @ point x.
Point y is 1 mm away and has 0.2 atoms % of Ni within the solid solution.
Temperature = 1000° C, D = 2ε-16M2/s

Calculate the flux (J) between points x & y.
Radius of Fe atom = 0.13 nm @ 1000°C; a = 0.37nm.

ATTEMPT AT A SOLUTION
Ni is FCC
4 atoms in unit cell of FCC. a= 4T/(√3)
# Atoms = 8*1028

J = -D(dc/dx)
Δc = 1.6e26-2.4e26
Δx = 1mm = 1*10^-6 nm
J = -1.6e25 is this right?
 
Engineering news on Phys.org
  • #2
The correct answer is not provided, as this problem requires additional information in order to be solved. The equation for the flux (J) is J = -D(dc/dx). The equation still needs to be filled in with information such as the diffusion coefficient (D) and the change in concentration (Δc). With that information, the flux can be calculated.
 

1. What is flux and why is it important in science?

Flux is the measure of the amount of something (such as energy, particles, or substances) that passes through a surface or boundary. It is important in science because it helps us understand the flow of various quantities and can be used to make predictions and calculations in many different fields.

2. How is flux calculated?

Flux is calculated by multiplying the magnitude of the quantity passing through a surface by the surface's area and the cosine of the angle between the surface and the flow. This formula is represented as J = A * |Q| * cos(θ), where J is flux, A is area, |Q| is the magnitude of the quantity, and θ is the angle.

3. Can flux be negative?

Yes, flux can be negative. This occurs when the flow of a quantity is in the opposite direction of the surface's normal vector, resulting in a negative value for the cosine of the angle. Negative flux can also indicate that the quantity is leaving or decreasing within a closed system.

4. What are some real-world applications of calculating flux?

Calculating flux has many applications in different fields of science. For example, in physics, it is used to calculate the flow of energy or particles through a surface. In chemistry, it can be used to study the rate of chemical reactions. In meteorology, flux can be used to calculate the movement of air or water. It is also used in engineering to determine the rate of heat transfer or fluid flow.

5. What factors can affect the calculation of flux?

The calculation of flux can be affected by various factors, such as the size and orientation of the surface, the magnitude and direction of the quantity, and any obstructions or barriers that may affect the flow. The properties of the medium through which the quantity is passing, such as density and viscosity, can also impact the calculation.

Similar threads

  • Materials and Chemical Engineering
Replies
1
Views
6K
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
15
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
13
Views
2K
  • Advanced Physics Homework Help
Replies
1
Views
2K
  • Precalculus Mathematics Homework Help
Replies
20
Views
2K
  • Introductory Physics Homework Help
Replies
3
Views
801
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Calculus and Beyond Homework Help
Replies
4
Views
1K
Back
Top