scholarly journals Time‐Dependent One‐Speed Albedo Problem for a Semi‐Infinite Medium

1965 ◽  
Vol 6 (7) ◽  
pp. 1125-1130 ◽  
Author(s):  
I. Kuščer ◽  
P. F. Zweifel
Keyword(s):  
Infinite Medium ◽  
Time Dependent ◽  
Albedo Problem

Time-dependent albedo problem for quadratic anisotropic scattering

Kerntechnik ◽  
2007 ◽  
Vol 72 (1-2) ◽  
pp. 59-65 ◽  
Author(s):  
R. G. Türeci ◽  
D. Türeci
Keyword(s):  
Anisotropic Scattering ◽  
Time Dependent ◽  
Albedo Problem

A note on disturbances in a layered medium containing a magnetic field

1964 ◽  
Vol 54 (6A) ◽  
pp. 1771-1777
Author(s):  
D. K. Sinha
Keyword(s):  
Magnetic Field ◽  
Free Surface ◽  
Layered Medium ◽  
Present Note ◽  
Infinite Medium ◽  
The Other ◽  
Time Dependent ◽  
The Earth ◽  
Propagation Of Waves ◽  
Initial Magnetic Field

abstract In recent years, Kaliski has contributed a series of papers on the interaction of elastic and magnetic fields and some of them, [1], [2], [3] are concerned with the propagation of waves in a semi-infinite medium either loaded or conditioned otherwise, at its free surface. Such problems, as Kaliski [1] has remarked, may have relevance in the practical seismic problem of detecting the mechanical explosions inside the earth. Moreover, their geophysical implications have also been examined by Knopoff [4[, Cagniard [5], Banos [6], and Rikitake [7]. The present note seeks to investigate disturbances in a medium consisting of two layers (one finite and the other infinite) of elastic medium intervened by a thin layer of vacuum. The vacuum is traversed by an initial magnetic field. The disturbances in the medium are assumed to have been produced by a time-dependent load on the free surface of the medium. The method of Laplace transform has been used to facilitate the solution of the problem.

scholarly journals Analytical Solution of the Hyperbolic Heat Conduction Equation for Moving Semi-Infinite Medium under the Effect of Time-Dependent Laser Heat Source

2009 ◽  
Vol 2009 ◽  
pp. 1-18 ◽  
Author(s):  
R. T. Al-Khairy ◽  
Z. M. AL-Ofey
Keyword(s):  
Heat Conduction ◽  
Analytical Solution ◽  
Heat Source ◽  
Heat Conduction Equation ◽  
Closed Form Solution ◽  
Infinite Medium ◽  
Form Solution ◽  
Time Dependent ◽  
Hyperbolic Heat Conduction ◽  
Laser Heat Source

This paper presents an analytical solution of the hyperbolic heat conduction equation for moving semi-infinite medium under the effect of time dependent laser heat source. Laser heating is modeled as an internal heat source, whose capacity is given by while the semi-infinite body has insulated boundary. The solution is obtained by Laplace transforms method, and the discussion of solutions for different time characteristics of heat sources capacity (constant, instantaneous, and exponential) is presented. The effect of absorption coefficients on the temperature profiles is examined in detail. It is found that the closed form solution derived from the present study reduces to the previously obtained analytical solution when the medium velocity is set to zero in the closed form solution.

scholarly journals Heuristic Green’s function of the time dependent radiative transfer equation for a semi-infinite medium

2007 ◽  
Vol 15 (26) ◽  
pp. 18168 ◽  
Author(s):  
Fabrizio Martelli ◽  
Angelo Sassaroli ◽  
Antonio Pifferi ◽  
Alessandro Torricelli ◽  
Lorenzo Spinelli ◽  
...  
Keyword(s):  
Radiative Transfer ◽  
Green’S Function ◽  
Green's Function ◽  
Transfer Equation ◽  
Radiative Transfer Equation ◽  
Infinite Medium ◽  
Time Dependent

The Generalized Lame´ Problem—Part II: Applications in Poromechanics

2004 ◽  
Vol 71 (2) ◽  
pp. 180-189 ◽  
Author(s):  
Younane N. Abousleiman ◽  
Mazen Y. Kanj
Keyword(s):  
Plane Strain ◽  
Laboratory Testing ◽  
Infinite Medium ◽  
Time Dependent ◽  
Solid Cylinder ◽  
Testing Procedures ◽  
Lamé Problem ◽  
Essential Problem ◽  
Generalized Plane Strain ◽  
Borehole Core

The cylinder is the geometry most widely used in laboratory testing procedures for rocks and other geomaterials. This paper applies a unified and universal Lame´ solution to all the three recognized right-cylindrical problems in poromechanics. As such, the solution of the hollow-cylinder features itself converging asymptotically to the exact values predicted by the solutions of the two other essential problem setups in geomechanics; namely, the finite solid cylinder case and the borehole core in an infinite medium. The time-dependent response derivations were “scripted” within the frameworks of the Biot’s theory of linear poroelasticity and facilitated by the governing generalized plane-strain (GPS) principle.

scholarly journals Semi-derivative integral method (SDIM) to transient heat conduction: Time-dependent (power-law) temperature boundary conditions

2021 ◽  
pp. 143-143
Author(s):  
Jordan Hristov
Keyword(s):  
Heat Conduction ◽  
Boundary Conditions ◽  
Power Law ◽  
Integral Method ◽  
Transient Heat Conduction ◽  
Infinite Medium ◽  
Time Dependent ◽  
Conduction Time ◽  
Parabolic Profile ◽  
Temperature Boundary

Transient heat conduction in semi-infinite medium with a power-law time-dependent boundary conditions has been solved by an integral-balance integral method applying to a semi-derivative approach. Two versions of the integral-balance method have been applied: Goodman?s method with a generalized parabolic profile and Zien?s method with exponential (original and modified) profile.

scholarly journals Semi-derivative integral method to transient heat conduction time-dependent heat flux boundary conditions

2021 ◽  
Vol 25 (Spec. issue 2) ◽  
pp. 303-308
Author(s):  
Jordan Hristov
Keyword(s):  
Boundary Condition ◽  
Heat Flux ◽  
Heat Conduction ◽  
Power Law ◽  
Integral Method ◽  
Transient Heat Conduction ◽  
Infinite Medium ◽  
Time Dependent ◽  
Conduction Time ◽  
Flux Boundary Conditions

Transient heat conduction in semi-infinite medium with a time dependent heat flux as boundary condition has been solved by a semi-derivative integral-balance method. Two versions boundary fluxes have been considered: power-law and exponential.

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