scholarly journals A Probabilistic Model for Time-Dependent Transfer Problems in Spherical Shell Media

1972 ◽  
Vol 160 (1) ◽  
pp. 21-36 ◽  
Author(s):  
T. K. Leong ◽  
K. K. Sen ◽  
D. W. N. Stibbs
Keyword(s):  
Spherical Shell ◽  
Probabilistic Model ◽  
Time Dependent ◽  
Transfer Problems

scholarly journals Kodama-Schwarzschild versus Gaussian Normal Coordinates Picture of Thin Shells

2016 ◽  
Vol 2016 ◽  
pp. 1-6 ◽  
Author(s):  
Mikhail Z. Iofa
Keyword(s):  
Spherical Shell ◽  
Coordinate Transformation ◽  
Time Dependent ◽  
Thin Shells ◽  
Junction Conditions ◽  
Coordinate Systems ◽  
Normal Coordinate ◽  
Normal Coordinates

Geometry of the spacetime with a spherical shell embedded in it is studied in two coordinate systems: Kodama-Schwarzschild coordinates and Gaussian normal coordinates. We find explicit coordinate transformation between the Kodama-Schwarzschild and Gaussian normal coordinate systems. We show that projections of the metrics on the surface swept by the shell in the 4D spacetime in both cases are identical. In the general case of time-dependent metrics we calculate extrinsic curvatures of the shell in both coordinate systems and show that the results are identical. Applications to the Israel junction conditions are discussed.

A time-dependent probabilistic model for fire accident analysis

2020 ◽  
Vol 111 ◽  
pp. 102891 ◽  
Author(s):  
Ruochen Yang ◽  
Faisal Khan ◽  
Mohammed Taleb-Berrouane ◽  
Depeng Kong
Keyword(s):  
Probabilistic Model ◽  
Time Dependent ◽  
Accident Analysis ◽  
Fire Accident

Effect of enrichment functions on GFEM solutions of time-dependent conduction heat transfer problems

2020 ◽  
Vol 85 ◽  
pp. 89-106 ◽  
Author(s):  
M. Iqbal ◽  
K. Alam ◽  
H. Gimperlein ◽  
O. Laghrouche ◽  
M.S. Mohamed
Keyword(s):  
Heat Transfer ◽  
Time Dependent ◽  
Conduction Heat Transfer ◽  
Transfer Problems

scholarly journals Dendritic Spines Taxonomy: The Functional and Structural Classification • Time-Dependent Probabilistic Model of Neuronal Activation

2019 ◽  
Vol 26 (4) ◽  
pp. 322-335 ◽  
Author(s):  
Paulina Urban ◽  
Vahid Rezaei ◽  
Grzegorz Bokota ◽  
Michał Denkiewicz ◽  
Subhadip Basu ◽  
...  
Keyword(s):  
Dendritic Spines ◽  
Probabilistic Model ◽  
Time Dependent ◽  
Neuronal Activation ◽  
Structural Classification ◽  
Classification Time

Spherically Symmetric Vibration of an Elastic Spherical Shell Subject to a Radial and Time-Dependent Body-Force Field

1971 ◽  
Vol 38 (3) ◽  
pp. 702-705 ◽  
Author(s):  
J. M. McKinney
Keyword(s):  
Continuous Function ◽  
Spherical Shell ◽  
Force Field ◽  
Body Force ◽  
Time Dependent ◽  
Symmetric Body ◽  
Spherically Symmetric ◽  
Symmetric Vibration ◽  
Elastic Spherical Shell

A solution, exact within the framework of linear elastokinetics, is obtained for a vibrating, elastic, arbitrarily thick spherical shell subject only to a spherically symmetric body force field of the form FR(r, τ) = Fr(r)Ft(τ). Fr(r) is taken in the form of a polynomial whereas Ft(τ) is restricted only to being a sectionally continuous function of time.

Non-coherent scattering in transfer problems in spherical shell media

1973 ◽  
Vol 25 (1) ◽  
pp. 247-261
Author(s):  
T. H. Kho ◽  
K. K. Sen
Keyword(s):  
Spherical Shell ◽  
Coherent Scattering ◽  
Transfer Problems
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