NUMERICAL COMPUTATION ON THE COMBINED EFFECT OF MAGNETIC FORCE AND NATURAL CONVECTION FOR CLUSTERING AND LEVITATING OF BROWNIAN PARTICLES

Equipment ◽  
2006 ◽  
Author(s):  
X. Wang ◽  
H. Hirano ◽  
Q. W. Wang ◽  
Shu-Shen Lu ◽  
T. Tagawa ◽  
...  
Keyword(s):  
Natural Convection ◽  
Numerical Computation ◽  
Magnetic Force ◽  
Combined Effect ◽  
Brownian Particles

scholarly journals The transmission of electric waves round the Earth

1919 ◽  
Vol 95 (673) ◽  
pp. 546-563 ◽  
Keyword(s):  
Numerical Computation ◽  
Magnetic Force ◽  
Complete Solution ◽  
Angular Distance ◽  
Actual State ◽  
Absolute Value ◽  
Conducting Sphere ◽  
The Earth ◽  
State Of Affairs ◽  
Electric Waves

On the hypothesis that the Earth consists of an imperfectly conducting sphere surrounded by infinite homogeneous dielectric, I have recently obtained a complete solution (in a form adapted for numerical computation) of the problem of determining the effect at a distant point of the Earth’s surface due to a Hertzian oscillator emitting waves of a definite frequency. Previous investigators had obtained approximations (some of which were incorrect) to the dominant terms of the series which represents the effect due to the Earth, but the earlier approximations cease to be valid in the neighbourhood of the antipodes of the transmitter. On this hypothesis the absolute value of the Hertzian function (with the time-factor suppressed) is roughly proportional to (sin θ ) -½ exp (- 23⋅94 λ -⅓ θ ), where λ is the wavelength measured in kilometres, θ and is the angular distance from the transmitter. When θ is nearly equal to π, the factor (sin θ ) -½ has to be suppressed. This formula does not agree with results obtained experimentally. The numerical factor 23⋅94 is much too large, so that, as θ increases, the magnetic force decays much less rapidly than the theory indicates; and it has also been suggested on experimental grounds that the actual state of affairs is represented much more closely when the factor λ -⅓ is replaced by the factor λ -½ .

scholarly journals Simulation of Thermomagnetic Convection in a Cavity Using the Lattice Boltzmann Model

2011 ◽  
Vol 2011 ◽  
pp. 1-14 ◽  
Author(s):  
Mahshid Hadavand ◽  
Antonio C. M. Sousa
Keyword(s):  
Natural Convection ◽  
Lattice Boltzmann ◽  
Magnetic Force ◽  
Electrical Current ◽  
Lattice Boltzmann Model ◽  
Thermomagnetic Convection ◽  
Microelectronic Devices ◽  
Third Dimension ◽  
Boltzmann Method ◽  
Boltzmann Model

Thermomagnetic convection in a differentially heated square cavity with an infinitely long third dimension is numerically simulated using the single relaxation time lattice Boltzmann method (LBM). This problem is of considerable interest when dealing with cooling of microelectronic devices, in situations where natural convection does not meet the cooling requirements, and forced convection is not viable due to the difficulties associated with pumping a ferrofluid. Therefore, circulation is achieved by imposing a magnetic field, which is created and controlled by placing a dipole at the bottom of the enclosure. The magnitude of the magnetic force is controlled by changing the electrical current through the dipole. In this study, the effects of combined natural convection and magnetic convection, which is commonly known as “thermomagnetic convection,” are analysed in terms of the flow modes and heat transfer characteristics of a magnetic fluid.

Attenuation of natural convection by magnetic force in electro-nonconducting fluids

1999 ◽  
Vol 204 (3) ◽  
pp. 408-412 ◽  
Author(s):  
Jianwei Qi ◽  
Nobuko I Wakayama ◽  
Akira Yabe
Keyword(s):  
Natural Convection ◽  
Magnetic Force
Sign in / Sign up

Export Citation Format

Share Document