The Random Steady State Diffusion Problem. III: Solutions to Random Diffusion Problems by the Method of Random Successive Approximations

1976 ◽  
Vol 31 (1) ◽  
pp. 159-178 ◽  
Author(s):  
Georges A. Bécus ◽  
F. A. Cozzarelli
Keyword(s):  
Steady State ◽  
Diffusion Problem ◽  
Successive Approximations ◽  
State Diffusion ◽  
Random Diffusion ◽  
Steady State Diffusion ◽  
Diffusion Problems

scholarly journals ON THE SOLUTION OF THE STEADY‐STATE DIFFUSION PROBLEM FOR FERROMAGNETIC PARTICLES IN A MAGNETIC FLUID

2008 ◽  
Vol 13 (2) ◽  
pp. 233-240 ◽  
Author(s):  
Viktor Polevikov ◽  
Lutz Tobiska
Keyword(s):  
Steady State ◽  
Magnetic Fluid ◽  
Particle Concentration ◽  
Diffusion Problem ◽  
Gradient Magnetic Field ◽  
Concentration Problem ◽  
State Diffusion ◽  
Steady State Problem ◽  
Steady State Diffusion ◽  
Ferromagnetic Particles

A mathematical model for the diffusion process of ferromagnetic particles in a magnetic fluid is described. The unique solvability of the steady‐state particle concentration problem is investigated and an analytical expression for its solution is found. In case that the fluid is under the action of a high‐gradient magnetic field a Stefan‐type diffusion problem can arise. An algorithm for solving the Stefan‐type steady‐state problem is developed.

Sign in / Sign up

Export Citation Format

Share Document