scholarly journals Analytical solutions for transient and steady state beam loading in arbitrary traveling wave accelerating structures

2011 ◽  
Vol 14 (5) ◽  
Author(s):  
A. Lunin ◽  
V. Yakovlev ◽  
A. Grudiev
Keyword(s):  
Steady State ◽  
Analytical Solutions ◽  
Traveling Wave ◽  
Beam Loading ◽  
Transient And Steady State

scholarly journals Complex Fourier series expansion for the liquid-solid phase transition in PCM layers: transient and steady state periodic regimes

2021 ◽  
Vol 294 ◽  
pp. 05001
Author(s):  
Rubén Dario Santiago Acosta ◽  
Ernesto Manuel Hernández-Cooper ◽  
José Antonio Otero ◽  
Rolando Pérez-Álvarez
Keyword(s):  
Phase Transition ◽  
Steady State ◽  
Analytical Solutions ◽  
Solid Phase ◽  
Fourier Method ◽  
Time Dependent ◽  
Fourier Series Expansion ◽  
Interface Position ◽  
Solid Phase Transition ◽  
Transient And Steady State

Semi-analytical solutions to the classical two phase Stefan problem are proposed. Time dependent solutions to the one-dimensional liquid-solid phase transition in a PCM wallboard subjected to isothermal and periodic Dirichlet boundary conditions are obtained. Transient and steady state solutions are found in finite size systems, and the semi-analytical solutions are validated through the asymptotic time limit behaviour of the phase transition. In this work, complex Fourier methods are proposed to find the solutions in the transient and steady state periodic regimes. Semi-analytical solutions based on the heat balance integral method (HBIM) are used to verify the consistency of the proposed method. The Fourier method can be pictured as a generalization of the phasors based method recently introduced by other authors. The proposed method incorporates a complete set of complex functions, which allows finding the transient and steady state response of the system. Finally, solutions for the time dependent interface position, liquid and solid temperature distributions and the thermal energy penetrating through the PCM wallboard, are shown. The solutions from the proposed method are found to be consistent when compared to the semi-analytical solutions estimated through the HBIM.

Modeling of assembly systems with complex structures for throughput analysis during transients

2019 ◽  
Vol 39 (2) ◽  
pp. 262-271
Author(s):  
Yukan Hou ◽  
Yuan Li ◽  
Yuntian Ge ◽  
Jie Zhang ◽  
Shoushan Jiang
Keyword(s):  
Steady State ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Assembly Systems ◽  
Complex Structures ◽  
Throughput Performance ◽  
Throughput Analysis ◽  
Content Type ◽  
Serial Production Lines ◽  
Transient And Steady State

Purpose The purpose of this paper is to present an analytical method for throughput analysis of assembly systems with complex structures during transients. Design/methodology/approach Among the existing studies on the performance evaluation of assembly systems, most focus on the system performance in steady state. Inspired by the transient analysis of serial production lines, the state transition matrix is derived considering the characteristics of merging structure in assembly systems. The system behavior during transients is described by an ergodic Markov chain, with the states being the occupancy of all buffers. The dynamic model for the throughput analysis is solved using the fixed-point theory. Findings This method can be used to predict and evaluate the throughput performance of assembly systems in both transient and steady state. By comparing the model calculation results with the simulation results, this method is proved to be accurate. Originality/value This proposed modeling method can depict the throughput performance of assembly systems in both transient and steady state, whereas most exiting methods can be used for only steady-state analysis. In addition, this method shows the potential for the analysis of complex structured assembly systems owing to the low computational complexity.

scholarly journals Some comments on transient and steady-state reconnection at the dayside magnetopause

2000 ◽  
Vol 27 (9) ◽  
pp. 1359-1362 ◽  
Author(s):  
Alan S. Rodger ◽  
Iain J. Coleman ◽  
Mike Pinnock
Keyword(s):  
Steady State ◽  
Dayside Magnetopause ◽  
Transient And Steady State
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