Numerical modeling and experimental validation of anomalous time and space subdiffusion for gas transport in porous coal matrix

J Kang, F Zhou, T Xia, G Ye - International Journal of Heat and Mass …, 2016 - Elsevier
Accurate description of gas transport in porous coal matrix is one critical issue for coalbed
methane production. However, the adequacy of existing Fickian diffusion-based models for …

A new compartmental fractional neutron point kinetic equations with different fractional orders

G Espinosa-Paredes, CA Cruz-López - Nuclear Engineering and Design, 2024 - Elsevier
Fractional models of the Neutron Point Kinetic Equations have been developed to overcome
certain limitations related to the classical approaches, considering more general physical …

Linear or non-linear stability monitor in BWRs? Introducing a new non-linear monitor based on the fractal spectrum

G Espinosa-Paredes, Y Molina-Tenorio… - … Engineering and Design, 2023 - Elsevier
The stability phenomenon in nuclear boiling water reactors (BWRs) continues to be of
scientific and technological interest contributing to the development of advanced stability …

Fractional neutron point kinetics equation with Newtonian temperature feedback effects

G Espinosa-Paredes, E del Valle Gallegos… - Progress in Nuclear …, 2014 - Elsevier
In this paper we present the numerical analysis of the fractional neutron point kinetics
(FNPK) equations with temperature feedback effects. The FNPK model considers a …

Subdiffusive processes in BWRs

G Espinosa-Paredes, VA Vyawahare… - … Engineering and Design, 2024 - Elsevier
The objective of this work is the analysis of subdiffusive processes in BWR reactors. Nuclear
reactors are highly heterogeneous systems where the phenomena at the reactor scale are …

Novel solution to the fractional neutron point kinetic equation using conformable derivatives

G Fernández-Anaya, S Quezada-García… - Annals of Nuclear …, 2021 - Elsevier
This work presents a novel solution to Fractional-model equations, it is based on the
applying of conformal derivative to fractional calculus and thus obtain a linear multi-term …

[图书][B] Fractional-order models for nuclear reactor analysis

GE Paredes - 2020 - books.google.com
Fractional-Order Models for Nuclear Reactor Analysis presents fractional modeling issues in
the context of anomalous diffusion processes in an accessible and practical way. The book …

[图书][B] Linear and non-linear stability analysis in boiling water reactors: the design of real-time stability monitors

AP Guerrero, GE Paredes - 2018 - books.google.com
Linear and Non-Linear Stability Analysis in Boiling Water Reactors: The Design of Real-
Time Stability Monitors presents a thorough analysis of the most innovative BWR reactors …

Fractional neutron point kinetic equation with ramp and sinusoidal reactivity effects

MA Polo-Labarrios, EG Espinosa-Martínez… - Annals of Nuclear …, 2014 - Elsevier
Abstract The Classical Neutron Point-Kinetic (CNPK) equations are a system of stiff
nonlinear ordinary differential equations for the neutron density, which have been subject of …

Continuous order identification of PHWR models under step-back for the design of hyper-damped power tracking controller with enhanced reactor safety

S Das, S Mukherjee, S Das, I Pan, A Gupta - Nuclear Engineering and …, 2013 - Elsevier
In this paper, discrete time higher integer order linear transfer function models have been
identified first for a 500MWe Pressurized Heavy Water Reactor (PHWR) which has highly …