An Analysis of an Optical Fiber with Two Inhomogeneous Sector Holes by Circular Fourier Expansion Method

2008 ◽  
Vol E91-C (1) ◽  
pp. 41-47
Author(s):  
S. FURUKAWA ◽  
W. SATOU ◽  
T. HINATA ◽  
N. SHIMIZU
Keyword(s):  
Optical Fiber ◽  
Fourier Expansion ◽  
Expansion Method

Chaotic mixing by oscillating a Stokeslet in a circular Hele-Shaw microfluidic device

2016 ◽  
Vol 5 (1) ◽  
pp. 1-8
Author(s):  
Yasser Aboelkassem
Keyword(s):  
Mathematical Modeling ◽  
Stream Function ◽  
Microfluidic Device ◽  
Fourier Expansion ◽  
Expansion Method ◽  
Small Oscillation ◽  
Chaotic Mixing ◽  
Mixing Efficiency ◽  
Induced Flow ◽  
Mixing Patterns

AbstractChaotic mixing by oscillating a Stokeslet in a circular Hele-Shaw microffluidic device is presented in this article. Mathematical modeling for the induced flow motions by moving a Stokeslet along the x-axis is derived using Fourier expansion method. The solution is formulated in terms of the velocity stream function. The model is then used to explore different stirring dynamics as function of the Stokeslet parameters. For instance, the effects of using various oscillation amplitudes and force strengths are investigated. Mixing patterns using Poincaré maps are obtained numerically and have been used to characterize the mixing efficiency. Results have shown that, for a given Stokeslet’s strength, efficient mixing can be obtained when small oscillation amplitudes are used. The present mixing platform is expected to be useful for many of biomicrofluidic applications.

Sn hyperfine field distributions in the Heusler alloys XMnSn and X2MnSn

1981 ◽  
Vol 59 (11) ◽  
pp. 1577-1584 ◽  
Author(s):  
R. A. Dunlap ◽  
R. H. March ◽  
G. Stroink
Keyword(s):  
Hyperfine Field ◽  
Fourier Expansion ◽  
Heusler Alloys ◽  
Expansion Method ◽  
Wide Distribution ◽  
Ordered Structure ◽  
X Ray Diffraction ◽  
X Ray ◽  
Field Distributions ◽  
Hyperfine Field Distributions

The 119Sn hyperfine field in the Heusler alloys Ir1.07Mn1.07Sn0.86, PtMnSn, Ni2MnSn, Co2MnSn, and Pd2MnSn has been measured using the Mössbauer effect. Hyperfine field distributions were obtained from the Mössbauer spectra via the Fourier expansion method of Window. The spectra of Ni2MnSn, Co2MnSn, and Pd2MnSn showed a well-defined value of the hyperfine field. This indicates a well-ordered structure and is consistent with previous neutron diffraction and NMR measurements on these alloys. The Ir1.07Mn1.07Sn0.86 and PtMnSn spectra, on the other hand, showed a wide distribution of fields, indicating a considerable amount of disorder. The extent and type of disorder, as indicated by X-ray diffraction measurements, are also considered.

Sign in / Sign up

Export Citation Format

Share Document