phenomenological equations
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2021 ◽  
Vol 103 (6) ◽  
Author(s):  
Daniel A. Godzieba ◽  
Rossella Gamba ◽  
David Radice ◽  
Sebastiano Bernuzzi

Author(s):  
E.E. Дерюгин ◽  
А.А. Богданов

A method is proposed for the experimental determination of the specific fracture energy of a material under loading by a 3-point bending of a rectangular specimen with a chevron notch. It is shown that at the initial stages of crack propagation in the chevron notch zone, a linear dependence of the specimen compliance on the crack length is observed. This makes it possible to calculate the specific fracture energy of the material without using the phenomenological equations used under standard test conditions. The calculations were carried out for technical titanium VT1-0.


Author(s):  
Victor L. Mironov

We discuss the generalization of phenomenological equations for electromagnetic field in superconductor based on algebra of space-time sedeons. It is shown that the combined system of London and Maxwell equations can be reformulated as a single sedeonic wave equation for the field with nonzero mass of quantum, in which additional conditions are imposed on the scalar and vector potentials, relating them to the deviation of charge density and currents in the superconducting phase. Also, we considered inhomogeneous equations including external sources in the form of charges and currents of the normal phase. In particular, a screening of the Coulomb interaction of external charges in a superconducting media is discussed.


Author(s):  
Abdullah Abbas Kendoush

Abstract Phenomenological equations derived for the convective heat and mass transfer to Taylor bubbles (TB) rising in vertical cylindrical pipes. Three models presented; first for the bubble thin liquid layer region, second for the rounded nose region, and third for the wake region. The solution is confined to flat-ended Taylor bubbles under laminar flow and constant heat flux conditions. The results compared reasonably well with the experimental data of other investigators.


2019 ◽  
Vol 50 (8) ◽  
pp. 3478-3485 ◽  
Author(s):  
Gaixia Wang ◽  
Huabei Peng ◽  
Linglin Xiang ◽  
Jungang Feng ◽  
Yuhua Wen

Author(s):  
Sergey V. Fedosov ◽  
Varvara Eu. Roumyantseva ◽  
Viktoriya S. Konovalova ◽  
Svetlana A. Loginova

The paper presents a mathematical model of mass transfer in the processes of corrosion of the first type of cement concrete at the level of phenomenological equations for a closed reservoir-liquid system. A step-by-step transition to the recording of the boundary value mass conduction problem in dimensionless coordinates is shown. The solutions of the boundary value mass conduction problem for the region of large and small values of Fourier numbers are obtained.


2017 ◽  
Vol 19 (26) ◽  
pp. 17331-17341 ◽  
Author(s):  
Thomas Heimburg

Phenomenological equations successfully describe isentropic oscillations in mechanics, electrodynamics and chemistry.


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