Limit Solutions for a Lumped Parameter Model of Heat Transfer in a Diluted and Indirectly Heated Co-Current/Counter-Current Moving Bed Heat Exchanger with Heat …

SL Bertoli, CK de Souza, MJ Gonçalves… - Applied Thermal …, 2024 - Elsevier
Limit solutions and solutions by analogy play an important role in the interrelation of
engineering problems. However, research with this approach is extremely rare in heat …

[HTML][HTML] Solution by the self-adjoint operator method for a model of a co/counter-current moving bed heat exchanger with heat losses

SL Bertoli, CK de Souza, MJ Gonçalves… - Case Studies in Thermal …, 2023 - Elsevier
A solution by the self-adjoint operator method (SAO)(still not widely used in engineering) is
presented for a lumped parameter model (LM) of a co/counter-current, indirect heated …

A simple solution for heat transfer in a triple tube heat exchanger

SL Bertoli, R Tribess, N de Souza… - Heat Transfer …, 2022 - Taylor & Francis
Triple tube heat exchangers in general perform better when compared to double tube heat
exchangers, mainly because they improve the heat transfer due to the passage of additional …

Analytical solution of a heat transfer model for a tubular co-current diluted moving bed reactor with indirect heating and intraparticle gradients

SL Bertoli, R Tribess, VA Castamann, A Lovatel… - Powder Technology, 2019 - Elsevier
The understanding of the multiphase flow and the thermal behavior in moving beds is
important for design and process optimization. Thus, in the present work, the heat transfer in …

Analytical solution of a heat transfer model for a tubular co-current diluted moving bed heat exchanger with indirect heating and thermal losses to the environment

R Tribess, SL Bertoli, C K. de Souza… - Chemical …, 2022 - Taylor & Francis
A mathematical model for a co-current moving bed heat exchanger (MBHE) is presented.
The bed is diluted and composed of spheres of uniform radius which are transported by a …

Semi-analytical solution of a nonlinear heat transfer model for a tubular cocurrent moving-bed reactor with a first-order chemical reaction in the solid phase

LISV Medeiros, SL Bertoli… - Journal of Heat …, 2021 - asmedigitalcollection.asme.org
The development of mathematical models plays a fundamental role in the design,
optimization, and control of processes. Regarding heat transfer in moving bed reactors, the …

Lumped analysis criteria for heat transfer in a diluted co–current moving bed heat exchanger with isothermal walls

SL Bertoli, J de Almeida Jr, CK de Souza, A Lovatel… - Powder Technology, 2020 - Elsevier
In this study, a mathematical method was applied to establish modelling selection criteria for
lumped parameter analysis (LPA), in the solid phase, of a diluted co-current moving bed …

Lumped parameter analysis criteria for heat transfer in a co-current moving bed with adiabatic walls

SL Bertoli, CK de Souza, JCSC Bastos, J de Almeida… - Powder Technology, 2017 - Elsevier
In this study, a mathematical method was developed and applied to an existing analytical
solution of a model for heat transfer in a co-current diluted moving bed, making it possible to …

Semi-Analytical Solution for a Lumped Model of a Co-Current Moving Bed Reactor

S Bertoli, J Apolinar-Hernández, CK de Souza… - 2024 - chemrxiv.org
Several industrial processes are carried out on moving bed reactors (MBRs), and the
development of mathematical models plays a fundamental role in designing, optimizing, and …

A Fast and Accurate Semi-Analytical Solution for Lumped Models of Co-Current Moving Bed Reactors

S Bertoli, J Apolinar-Hernández, CK de Souza… - 2025 - chemrxiv.org
Moving bed reactors (MBRs) are widely used in various industrial processes, making the
development of mathematical models crucial for their design, optimization, and control. This …