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Mathematical and Computational Applications, Volume 26, Issue 2

June 2021 - 24 articles

Cover Story: In the last few decades, there has been a particular interest in the field of magnetic refrigeration. Indeed, an increasing number of magnetic refrigeration prototypes based on the principle of active magnetic regenerative refrigeration (AMRR) have been built and tested. A lot of studies have been carried out to obtain more efficient devices. Thus, the modeling is a crucial step to perform a preliminary study and optimization. In this paper, a state-of-the-art design of a multi-physics modeling of AMRR cycle is made. The figures expose a theoretical schematic view of a magnetic refrigeration device, an experimental device developed at the FEMTO-ST Institute and accompanied by a comparison between simulation results and experimental measurements. View this paper.
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Articles (24)

  • Article
  • Open Access
13 Citations
4,866 Views
15 Pages

Analytical Equations Applied to the Study of Steel Profiles under Fire According to Different Nominal Temperature-Time Curves

  • Pedro N. Oliveira,
  • Elza M. M. Fonseca,
  • Raul D. S. G. Campilho and
  • Paulo A. G. Piloto

Some analytical methods are available for temperature evaluation in solid bodies. These methods can be used due to their simplicity and good results. The main goal of this work is to present the temperature calculation in different cross-sections of...

  • Feature Paper
  • Review
  • Open Access
8 Citations
4,843 Views
37 Pages

Review of Multi-Physics Modeling on the Active Magnetic Regenerative Refrigeration

  • Julien Eustache,
  • Antony Plait,
  • Frédéric Dubas and
  • Raynal Glises

Compared to conventional vapor-compression refrigeration systems, magnetic refrigeration is a promising and potential alternative technology. The magnetocaloric effect (MCE) is used to produce heat and cold sources through a magnetocaloric material (...

  • Article
  • Open Access
3 Citations
3,686 Views
16 Pages

Optimization of Power Generation Grids: A Case of Study in Eastern Mexico

  • Esmeralda López,
  • René F. Domínguez-Cruz and
  • Iván Salgado-Tránsito

Optimization of energy resources is a priority issue for our society. An improper imbalance between demand and power generation can lead to inefficient use of installed capacity, waste of fuels, worse effects on the environment, and higher costs. Thi...

  • Article
  • Open Access
2,761 Views
28 Pages

We show how modern Bayesian Machine Learning tools can be effectively used in order to develop efficient methods for filtering Earth Observation signals. Bayesian statistical methods can be thought of as a generalization of the classical least-square...

  • Feature Paper
  • Article
  • Open Access
3 Citations
3,755 Views
24 Pages

In this paper, we consider the balancing domain decomposition by constraints (BDDC) algorithm with adaptive coarse spaces for a class of stochastic elliptic problems. The key ingredient in the construction of the coarse space is the solutions of loca...

  • Feature Paper
  • Article
  • Open Access
3 Citations
2,951 Views
19 Pages

The prediction and control of the transformation of void structures with high-temperature processing is a critical area in many engineering applications. In this work, focused on the void shape evolution of silicon, a novel algebraic model for the ca...

  • Article
  • Open Access
1 Citations
4,216 Views
13 Pages

With the fast advances in computational sciences, there is a need for more accurate computations, especially in large-scale solutions of differential problems and long-term simulations. Amid the many numerical approaches to solving differential probl...

  • Article
  • Open Access
13 Citations
3,360 Views
24 Pages

Semi-Analytical Solution of Two-Dimensional Viscous Flow through Expanding/Contracting Gaps with Permeable Walls

  • Mohammad Mehdi Rashidi,
  • Mikhail A. Sheremet,
  • Maryam Sadri,
  • Satyaranjan Mishra,
  • Pradyumna Kumar Pattnaik,
  • Faranak Rabiei,
  • Saeid Abbasbandy,
  • Hussein Sahihi and
  • Esmaeel Erfani

In this research, the analytical methods of the differential transform method (DTM), homotopy asymptotic method (HAM), optimal homotopy asymptotic method (OHAM), Adomian decomposition method (ADM), variation iteration method (VIM) and reproducing ker...

  • Feature Paper
  • Article
  • Open Access
1 Citations
3,395 Views
20 Pages

Semi-Supervised Learning Using Hierarchical Mixture Models: Gene Essentiality Case Study

  • Michael W. Daniels,
  • Daniel Dvorkin,
  • Rani K. Powers and
  • Katerina Kechris

Integrating gene-level data is useful for predicting the role of genes in biological processes. This problem has typically focused on supervised classification, which requires large training sets of positive and negative examples. However, training d...

  • Article
  • Open Access
4 Citations
4,873 Views
21 Pages

A Peptides Prediction Methodology for Tertiary Structure Based on Simulated Annealing

  • Juan P. Sánchez-Hernández,
  • Juan Frausto-Solís,
  • Juan J. González-Barbosa,
  • Diego A. Soto-Monterrubio,
  • Fanny G. Maldonado-Nava and
  • Guadalupe Castilla-Valdez

The Protein Folding Problem (PFP) is a big challenge that has remained unsolved for more than fifty years. This problem consists of obtaining the tertiary structure or Native Structure (NS) of a protein knowing its amino acid sequence. The computatio...

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Math. Comput. Appl. - ISSN 2297-8747