Exact solution approach in analysis of resonance properties of two-dimensional dissipative superconductive Josephson lattice

1995 ◽  
Vol 8 (2) ◽  
pp. 247-258 ◽  
Author(s):  
Valery E. Grishin ◽  
Mark A. Pinsky
Keyword(s):  
Exact Solution ◽  
Two Dimensional ◽  
Solution Approach ◽  
Resonance Properties ◽  
Josephson Lattice

scholarly journals Exact solution and invariant for fractional Cattaneo anomalous diffusion of cells in two-dimensional comb framework

2017 ◽  
Vol 89 (1) ◽  
pp. 213-224 ◽  
Author(s):  
Lin Liu ◽  
Liancun Zheng ◽  
Fawang Liu ◽  
Xinxin Zhang
Keyword(s):  
Exact Solution ◽  
Anomalous Diffusion ◽  
Two Dimensional

An Exact Solution of the Unsteady Navier-Stokes Equations Resulting From a Stretching Surface

1994 ◽  
Vol 61 (3) ◽  
pp. 629-633 ◽  
Author(s):  
S. H. Smith
Keyword(s):  
Exact Solution ◽  
Stokes Equations ◽  
Limited Range ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Stretching Surface ◽  
Navier Stokes Equations ◽  
Short Period ◽  
Two Dimensional Flow ◽  
Surrounding Fluid

When a stretching surface is moved quickly, for a short period of time, a pulse is transmitted to the surrounding fluid. Here we describe an exact solution in terms of a similarity variable for the Navier-Stokes equations which represents the effect of this pulse for two-dimensional flow. The unusual feature is that this solution is only valid for a limited range of the Reynolds number; outside this domain unbounded velocities result.

De la combinatoire du modèle de l'échiquier de Feynman et des fonctions spéciales

1984 ◽  
Vol 62 (7) ◽  
pp. 632-638
Author(s):  
J. G. Williams
Keyword(s):  
Exact Solution ◽  
Dirac Equation ◽  
Hypergeometric Series ◽  
Jacobi Polynomials ◽  
Dimensional Space ◽  
Space Time ◽  
Continuous Limit ◽  
Two Dimensional ◽  
Dimensional Space Time

The exact solution of the Feynman checkerboard model is given both in terms of the hypergeometric series and in terms of Jacobi polynomials. It is shown how this leads, in the continuous limit, to the Dirac equation in two-dimensional space-time.

NUMERICAL INVESTIGATION OF UNSTEADY COMBUSTOR TURBINE INTERACTION FOR FLEXIBLE POWER GENERATION

2021 ◽  
pp. 1-22
Author(s):  
Federico Lo Presti ◽  
Marwick Sembritzky ◽  
Benjamin Winhart ◽  
Pascal Post ◽  
Francesca di Mare ◽  
...  
Keyword(s):  
Low Frequency ◽  
Temperature Fluctuations ◽  
Two Dimensional ◽  
Periodic Load ◽  
Migration Patterns ◽  
Solution Approach ◽  
Periodic Disturbances ◽  
Turbine Inlet ◽  
The Mean ◽  
Industrial Gas Turbine

Abstract In the present study low-frequency disturbances introduced by a periodic load variation have been simulated and superimposed to the inhomogeneous, unsteady flow entering a 3-stage, high-pressure industrial gas turbine fed by a can-type combustion chamber comprising 6 silo-burners. The effects of the unsteadiness realized at the combustor exit have been investigated by means of Detached Eddy Simulations, whereby a density-based solution approach with detailed thermodynamics has been employed. The periodic disturbances at the turbine inlet have been obtained by means of an artificially generated, unsteady field, resulting from a two-dimensional snapshot of the flow field at the combustor exit. Also, a combustor failure has been mimicked by reducing (respectively increasing) the mean temperature in some of the turbine inlet regions corresponding to the outlet of two burners. The propagation and amplitude changes of temperature fluctuations have been analyzed in the frequency domain. Tracking of the temperature fluctuations' maxima at the lowest frequencies revealed characteristic migration patterns indicating that the corresponding fluctuations persist with a non-negligible amplitude up to the last rows. A distinct footprint could also be observed at the same locations when a combustor failure was simulated, showing that, in principle, the early detection of combustor failures is indeed possible.

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