Irrotational Flow About Two Touching Spheres

1976 ◽  
Vol 43 (2) ◽  
pp. 365-366 ◽  
Author(s):  
F. A. Morrison
Keyword(s):  
Irrotational Flow

scholarly journals Parallel Simulation of HGMS of Weakly Magnetic Nanoparticles in Irrotational Flow of Inviscid Fluid

2014 ◽  
Vol 2014 ◽  
pp. 1-12
Author(s):  
Kanok Hournkumnuard ◽  
Banpot Dolwithayakul ◽  
Chantana Chantrapornchai
Keyword(s):  
Magnetic Nanoparticles ◽  
Particle Transport ◽  
Parallel Simulation ◽  
Outer Radius ◽  
Inviscid Fluid ◽  
Wire Radius ◽  
Problem Size ◽  
Irrotational Flow ◽  
The Wire ◽  
Weakly Magnetic

The process of high gradient magnetic separation (HGMS) using a microferromagnetic wire for capturing weakly magnetic nanoparticles in the irrotational flow of inviscid fluid is simulated by using parallel algorithm developed based on openMP. The two-dimensional problem of particle transport under the influences of magnetic force and fluid flow is considered in an annular domain surrounding the wire with inner radius equal to that of the wire and outer radius equal to various multiples of wire radius. The differential equations governing particle transport are solved numerically as an initial and boundary values problem by using the finite-difference method. Concentration distribution of the particles around the wire is investigated and compared with some previously reported results and shows the good agreement between them. The results show the feasibility of accumulating weakly magnetic nanoparticles in specific regions on the wire surface which is useful for applications in biomedical and environmental works. The speedup of parallel simulation ranges from 1.8 to 21 depending on the number of threads and the domain problem size as well as the number of iterations. With the nature of computing in the application and current multicore technology, it is observed that 4–8 threads are sufficient to obtain the optimized speedup.

A perturbation method for Dirac’s new electrodynamics

1952 ◽  
Vol 213 (1115) ◽  
pp. 520-529 ◽  
Keyword(s):  
General Solution ◽  
Perturbation Method ◽  
Order Approximation ◽  
Zero Order ◽  
Classical Electrodynamics ◽  
Coupling Constant ◽  
Irrotational Flow ◽  
Zero Order Approximation ◽  
Fundamental Equations

The fundamental equations of Dirac’s new classical electrodynamics cannot be solved with the conventional perturbation method because there is no possibility of setting the coupling constant e equal to zero to start with. A perturbation method is worked out under the assumption that the charge is small, which means that the field created by the charge is neglected in the zero-order approximation. A general solution for the case of irrotational flow and another one for small vorticity are given. The equations derived are not easily soluble for large vorticity.

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