A simple exact solution for a point source above a reacting surface

1991 ◽  
Vol 89 (4B) ◽  
pp. 1991-1991
Author(s):  
Xiao Di ◽  
Kenneth E. Gilbert
Keyword(s):  
Exact Solution ◽  
Point Source

An exact solution for a normal point source problem

2004 ◽  
Vol 49 (7) ◽  
pp. 653-657
Author(s):  
Kaixin Liu ◽  
Guangyu Liu
Keyword(s):  
Exact Solution ◽  
Point Source

Submerged Jet of a Conducting Fluid in the Presence of the Magnetic Field

2012 ◽  
Vol 7 (2) ◽  
pp. 25-38
Author(s):  
Rustam Mullyadzhanov ◽  
Nikolay Yavorsky
Keyword(s):  
Magnetic Field ◽  
Exact Solution ◽  
Point Source ◽  
Electric Current ◽  
Stokes Equations ◽  
Conducting Fluid ◽  
Mhd Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Submerged Jet

We consider a steady flow of a viscous incompressible conducting fluid. New exact solution of the magnetohydrodynamic (MHD) equations is obtained, when the flow is induced by the point source of hydrodynamic momentum located at the end of a semi-infinite linear conductor with a set value of the electric current. The effects of the confinement of the current density and the loss of existence of the solution with the finite values of electric current and various values of the Reynolds number and the Batchelor number (magnetic Prandtl number) are found. The non-self-similar problem is considered, when the flow is induced by the point source of momentum, angular momentum, flow rate and electric current that are set at the origin. In this case, the first term of the asymptotic expansion of the velocity at the infinity is described by the exact solution of the Navier – Stokes equations of the submerged jet (Slezkin – Landau – Squire solution). We analyze the conservation laws. It is shown that the induced magnetic field reduces the intensity of the jet flow

EFFECT OF A FLUID CORE ON PROPAGATION OF AN SH‐TORQUE PULSE FROM A POINT‐SOURCE IN A SPHERE

Geophysics ◽  
1966 ◽  
Vol 31 (4) ◽  
pp. 741-763 ◽  
Author(s):  
Z. Alterman ◽  
P. Kornfeld
Keyword(s):  
Exact Solution ◽  
Point Source ◽  
Arrival Time ◽  
Elastic Solid ◽  
Steepest Descent ◽  
Surface Source ◽  
Homogeneous Sphere ◽  
The Core ◽  
Fluid Core ◽  
Deep Source

An exact solution is obtained for the displacement of the surface of a sphere consisting of a fluid core and an elastic solid mantle, due to an impulsive SH‐torque source. Theoretical seismograms are computed for several distances from a surface source and from a deep source, and are compared with results for a homogeneous sphere. The seismograms show reflected pulses of H‐type and of Lg‐type, and pulses after diffraction at the core and at the surface. In agreement with observation and as expected by steepest‐descent analysis, it is found that the Lg‐type pulses start before the ray arrival time. Traveltime and amplitude curves for reflected and diffracted pulses are given.

XRMF applications of a monolithic, polycapillary, focusing x-ray optic

1996 ◽  
Vol 54 ◽  
pp. 240-241
Author(s):  
D. A. Carpenter ◽  
Ning Gao ◽  
G. J. Havrilla
Keyword(s):  
Trace Elements ◽  
Point Source ◽  
Focal Spot ◽  
Fluorescence Analysis ◽  
X Rays ◽  
Focal Distance ◽  
Spot Diameter ◽  
X Ray ◽  
Focal Spot Diameter

A monolithic, polycapillary, x-ray optic was adapted to a laboratory-based x-ray microprobe to evaluate the potential of the optic for x-ray micro fluorescence analysis. The polycapillary was capable of collecting x-rays over a 6 degree angle from a point source and focusing them to a spot approximately 40 µm diameter. The high intensities expected from this capillary should be useful for determining and mapping minor to trace elements in materials. Fig. 1 shows a sketch of the capillary with important dimensions.The microprobe had previously been used with straight and with tapered monocapillaries. Alignment of the monocapillaries with the focal spot was accomplished by electromagnetically scanning the focal spot over the beveled anode. With the polycapillary it was also necessary to manually adjust the distance between the focal spot and the polycapillary.The focal distance and focal spot diameter of the polycapillary were determined from a series of edge scans.

Exact solution of a four-site crystal model for an intermediate-valence system

1986 ◽  
Vol 47 (6) ◽  
pp. 1029-1034 ◽  
Author(s):  
J.C. Parlebas ◽  
R.H. Victora ◽  
L.M. Falicov
Keyword(s):  
Exact Solution ◽  
Intermediate Valence ◽  
Crystal Model
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