Electromagnetic Fields Within a Stratified Earth Produced by a Long Horizontal Line Source

Radio Science ◽  
1968 ◽  
Vol 3 (4) ◽  
pp. 387-390 ◽  
Author(s):  
Peter R. Bannister
Keyword(s):  
Electromagnetic Fields ◽  
Line Source ◽  
Horizontal Line

Mixed convection from a horizontal line source of heat

1986 ◽  
Vol 29 (2) ◽  
pp. 344-347 ◽  
Author(s):  
Ramesh Krishnamurthy ◽  
Benjamin Gebhart
Keyword(s):  
Mixed Convection ◽  
Line Source ◽  
Horizontal Line

Electromagnetic fields in the presence of an infinite dielectric wedge

2006 ◽  
Vol 462 (2072) ◽  
pp. 2503-2522 ◽  
Author(s):  
Mohamed A Salem ◽  
Aladin H Kamel ◽  
Andrey V Osipov
Keyword(s):  
Electromagnetic Fields ◽  
Line Source ◽  
Numerical Scheme ◽  
Singular Integral Equations ◽  
Neumann Series ◽  
Asymptotic Approximations ◽  
Spectral Functions ◽  
Dielectric Wedge ◽  
Higher Order Terms ◽  
Neumann Type

Electromagnetic fields excited by a line source in the presence of an infinite dielectric wedge with refractive index N are determined by application of the Kontorovich–Lebedev transform. Singular integral equations for spectral functions are solved by perturbation procedure, and the solution is obtained in the form of a Neumann series in powers of . The devised numerical scheme permits evaluation of the higher-order terms and, thus, extends the perturbation solution to values of N not necessarily close to unity. Asymptotic approximations for the near and far fields inside and outside the dielectric wedge are derived. The combination of the Neumann-type expansion of the transform functions with the representation of the field as a Bessel function series extends solutions derived with the Kontorovich–Lebedev method to the case of real-valued wavenumbers and arbitrarily positioned source and observer. Numerical results showing the influence of wedges with various values of dielectric and magnetic constants on the directivity of a line source are presented and verified through finite-difference frequency-domain simulations.

An Experimental Investigation of the Plume Velocity Field Above a Horizontal Line Heat Source

1977 ◽  
Vol 99 (4) ◽  
pp. 609-613 ◽  
Author(s):  
H. J. Nawoj ◽  
R. S. Hickman
Keyword(s):  
Velocity Field ◽  
Heat Source ◽  
Vertical Velocity ◽  
Line Source ◽  
Lateral Diffusion ◽  
Similarity Function ◽  
Horizontal Line ◽  
Line Heat Source ◽  
Stream Functions ◽  
Energy And Momentum

The vertical velocity field of a natural convection plume arising from a horizontal line heat source was investigated experimentally in detail. The measured vertical velocities were found to be 20–25 percent less than that predicted by analysis. Various causative factors for the discrepancy between analytical and experimental results were investigated, and shown to have a minimal effect. The power law relationship between the plume vertical velocity and energy input to the line source was found to be substantially greater than that predicted by analysis. A normalized similarity function did provide an excellent representation of the lateral diffusion of energy and momentum in the plume, indicating the validity of the boundary layer approximation for the velocity field. It was postulated that further refinement of the stream functions defined by existing analyses is required to accommodate the effects of the upstream flow field that exists in the physical representation of a line source and is omitted from consideration in the development of the analyses.

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