On the Solution of the Steady-state Diffusion Problem for Ferromagnetic Particles in a Magnetic Fluid
نویسندگان
چکیده
Amathematical 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.
منابع مشابه
Rapid mixing of Newtonian and non-Newtonian fluids in a three-dimensional micro-mixer using non-uniform magnetic field
The mixing of Newtonian and non-Newtonian fluids in a magnetic micro-mixer was studied numerically using ferrofluid. The mixing process was performed in a three-dimensional steady-state micro-mixer. A magnetic source was mounted at the entrance of the micro-channel to oscillate the magnetic particles. The effects of electric current, inlet velocity, size of magnetic particles, and non-Newtonia...
متن کاملInvestigation of Entropy Generation in Stagnation Point Flow of Nano Fluid Impinging on the Cylinder with Constant Wall Heat Flux
: In this research, dimensionless temperature and entropy generation for the steady state flow in the stagnation point of incompressible nanofluid impinging on an infinite cylinder have been investigated. The impinging free stream is steady with a constant strain rate k. Similarity solution of the Navier-Stokes equations and energy equation is derived in this problem. A reduction of these equa...
متن کاملNumerical treatment for nonlinear steady flow of a third grade fluid in a porous half space by neural networks optimized
In this paper, steady flow of a third-grade fluid in a porous half space has been considered. This problem is a nonlinear two-point boundary value problem (BVP) on semi-infinite interval. The solution for this problem is given by a numerical method based on the feed-forward artificial neural network model using radial basis activation functions trained with an interior point method. ...
متن کاملPseudo Steady State Gas Flow in Tight Reservoir under Dual Mechanism Flow
Gas reservoirs with low permeability (k<0.1 mD) are among the unconventional reservoirs and are commonly termed as "Tight Gas Reservoirs". In conventional gas reservoirs that have high permeability, the flow of gas is basically controlled by the reservoir permeability and it is calculated using the Darcy equation. In these reservoirs, gas flow due to gas diffusion is ignored compared to Dar...
متن کاملAn Exact Solution for Vibration Analysis of Soft Ferromagnetic Rectangular Plates Under the Influence of Magnetic Field with Levy Type Boundary Conditions
In this paper vibration of ferromagnetic rectangular plates which are subjected to an inclined magnetic field is investigated based on classical plate theory and Maxwell equations. Levy type solution and Finite element method using Comsol software are used to obtain the frequency of the plate subjected to different boundary conditions, good agreements is obtained when computed results are compa...
متن کامل