How can I find an expression for the fundamental solution to the diffusion equation when the center (mean) of the solution is diffusing randomly?

The fundamental solution to the Diffusion Equation in one dimension is c(x, t)=1/(4(pi)Dt)^1/2 e^( - (x - xo)^2/4Dt) , where D is the Diffusion constant of the diffusing particle, t is the time,...

06 July 2018 1,118 1 View

Who first discovered the following well-known result in Classical Mechanics?

Who first discovered that for a two particle elastic collision in 2 dimensions where the mass of the two particles is the same, the angle between the two final velocity vectors equals 90...

10 November 2017 8,092 18 View

Are there any results known about the survival probability for 3 particles that diffuse in 2d or 3d and coalesce when they meet?

Imagine three identical particles, each having the same radius and diffusion constant. The particles diffuse isotropically in 2d or 3d space and each of their concentrations as a function of space...

09 October 2017 9,702 0 View

How do I express a real valued function that is written using complex variables so that only real variables are used in the statement of the function?

03 April 2017 6,159 3 View

What is the probability for a random walker in 1d to return to its starting point for the first time?

01 February 2017 1,531 7 View

Discrete Phase model (DPM) particle break-up has particle size limits during particle tracking?

Hello, I am currently working on simulating water droplet partciles in a closed room. When I use uniform particles, without "particle break-up", I can carry out the simulation without any problem....

02 March 2021 3,053 2 View

Why the results when using wall thickness and when using shell conduction are different in ansys fluent?

Actually, I am running cfd simulation for a heat exchanger which has two fluids one hot and other one is cold fluid. there is a solid domain between them, which I removed and instead I have used...

01 March 2021 9,537 2 View

How much pressure we can reduce at the outlet to avoid Reverse Flow?

I am simulating Heat Exchanger. I have tried and tested all the methods to resolve this issue from the internet like refining mesh, improving skewness and orthogonal quality ,extending outlet to...

01 March 2021 6,985 3 View

Distribution of particles in metal matrix?

How would define the "good" and "poor" distribution of particles within the matrix. Is there a quantitative solution to assess the distribution of the particles, which then having denotation of...

28 February 2021 7,397 8 View

Is there a deep reason for using the squared modulus of the wave function as the probability density of the existence of the particle?

I think we were all surprised at the first time we got to know quantum mechanics that the squared modulus of the wave function is the probability density of the existence of the particle? The role...

28 February 2021 6,282 9 View

Zno nano particles colour changed from white to grey in process of calcination any suggestions?

In the formation of Zno nano particles process, after drying at 120 degree C, my zno nano particles are completely white but when i calcine it for 450 degree C it converts into grey colour. i...

26 February 2021 2,435 4 View

Why there are two peaks while using the mie plot of Silver nanoparticle?

Hi, I am trying to learn the theoretical modelling of silver nanoparticle using the Mie scattering theory. After that, I discovered a software named Mieplot developed by Philip Laven, where it...

25 February 2021 7,493 6 View

How do you mesh a thin solid in Fluent?

Hello, I have used the shell function on SpaceClaim to create thin solids for the model I am studying. These are contained within an enclosure for my study. I chose this approach as it avoids the...

24 February 2021 8,856 3 View

Why does the sum of reaction forces not match the force component of a Free Body Cut in Abaqus?

I am using Abaqus to simulate a plate with in-plane loading. The boundary conditions allow the right edge to move up and down, the displacements on the left edge are fixed. There is no rotation...

23 February 2021 711 3 View

Should I use Pressure Based Solver or a Density-Based Solver?

Dear researchers, I want to simulate a flow (air) in a wind tunnel, and I want to integrate a fluidic actuator inside it in order to control the separation of the boundary layer. At the blower...

22 February 2021 4,882 3 View