scholarly journals On the Motion of Two Microspheres in a Stokes Flow Driven by an External Oscillator Field

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Mohammed M. Al-Hatmi ◽  
Anton Purnama
Keyword(s):  
External Field ◽  
Stokes Flow ◽  
Average Velocity ◽  
Viscous Incompressible Fluid ◽  
Separation Distance ◽  
Flow Oscillation ◽  
Vector Form ◽  
Induced Flow ◽  
The Stokes Equation ◽  
Surrounding Fluid

Hydrodynamic interactions of a two-solid microspheres system in a viscous incompressible fluid at low Reynolds number is investigated analytically. One of the spheres is conducting and assumed to be actively in motion under the action of an external oscillator field, and as the result, the other nonconducting sphere moves due to the induced flow oscillation of the surrounding fluid. The fluid flow past the spheres is described by the Stokes equation and the governing equation in the vector form for the two-sphere system is solved asymptotically using the two-timing method. For illustrations, applying a simple oscillatory external field, a systematic description of the average velocity of each sphere is formulated. The trajectory of the sphere was found to be inversely proportional to the frequency of the external field. The results demonstrated that no collisions occur between the spheres as the system moves in a circular motion with a fixed separation distance.

1110 Suppression of Self-Induced Flow Oscillation in Supersonic Impinging Jet using Wire

2015 ◽  
Vol 2015.53 (0) ◽  
pp. _1110-1_-_1110-2_
Author(s):  
Katsuki NAKAO ◽  
Tsuyoshi YASUNOBU ◽  
Yumiko OTOBE ◽  
Masaki SHIMADU
Keyword(s):  
Impinging Jet ◽  
Flow Oscillation ◽  
Induced Flow ◽  
Supersonic Impinging Jet

Pressure Fluctuation on Self Induced Flow Oscillation Caused by Under-Expanded Super Sonic Impinging Jet

2002 ◽  
Vol 2002.55 (0) ◽  
pp. 141-142
Author(s):  
Tsuyoshi YASUNOBU ◽  
Takeshi MATSUOKA ◽  
Muneo TAGAMI ◽  
Hideo KASHIMURA
Keyword(s):  
Pressure Fluctuation ◽  
Impinging Jet ◽  
Flow Oscillation ◽  
Induced Flow

scholarly journals INFLUENCE OF LORENTZ- AND CPT-VIOLATING TERMS ON THE DIRAC EQUATION

2006 ◽  
Vol 21 (30) ◽  
pp. 6211-6227 ◽  
Author(s):  
MANOEL M. FERREIRA ◽  
FERNANDO M. O. MOUCHEREK
Keyword(s):  
Dirac Equation ◽  
External Field ◽  
Plane Wave ◽  
Axial Vector ◽  
Nonrelativistic Limit ◽  
Spectral Lines ◽  
Vector Form ◽  
Full Agreement ◽  
Vector Coupling ◽  
Wave Solutions

The influence of Lorentz- and CPT-violating terms (in "vector" and "axial vector" couplings) on the Dirac equation is explicitly analyzed: plane-wave solutions, dispersion relations and eigenenergies are explicitly obtained. The nonrelativistic limit is worked out and the Lorentz-violating Hamiltonian identified in both cases, in full agreement with the results already established in the literature. Finally, the physical implications of this Hamiltonian on the spectrum of hydrogen are evaluated both in the absence and presence of a magnetic external field. It is observed that the fixed background, when considered in a vector coupling, yields no qualitative modification in the hydrogen spectrum, whereas it does provide an effective Zeeman-like splitting of the spectral lines whenever coupled in the axial vector form. It is also argued that the presence of an external fixed field does not imply new modifications on the spectrum.

Buoyancy Induced Flow in a Vertical Internally Finned Circular Duct

1985 ◽  
Vol 107 (1) ◽  
pp. 118-123 ◽  
Author(s):  
C. Prakash ◽  
Ye-Di Liu
Keyword(s):  
Heat Transfer ◽  
Circular Tube ◽  
Pressure Head ◽  
Finned Tube ◽  
Transfer Enhancement ◽  
Circular Duct ◽  
Induced Flow ◽  
Surrounding Fluid ◽  
Chimney Effect ◽  
Buoyancy Induced Flow

Laminar buoyancy induced flow in a vertical internally finned circular tube has been analyzed by numerically integrating the governing partial differential equations. The temperature of the duct is greater than that of the surrounding fluid; hence the density of the fluid inside the duct is less than that of the fluid on the outside, which creates a hydrostatic pressure head across the duct that induces the flow (chimney effect). Results show that despite reduction in the induced flow rate due to increased friction, a finned tube can yield significant heat transfer enhancement compared to a finless tube of the same height. Depending on the parameters, the degree of enhancement can be comparable to the factor by which the heat transfer area increases due to the presence of the fins.

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