A review of hybrid integral transform solutions in fluid flow problems with heat or mass transfer and under Navier–Stokes equations formulation

RM Cotta, KM Lisboa, MF Curi, S Balabani… - … Heat Transfer, Part B …, 2019 - Taylor & Francis
Abstract The Generalized Integral Transform Technique (GITT) is reviewed as a hybrid
numerical–analytical approach for fluid flow problems, with or without heat and mass …

Analytical solution for natural convection of a heat-generating fluid in a vertical rectangular cavity with two pairs of heat source/sink

L El Moutaouakil, M Boukendil, R Hidki… - Thermal Science and …, 2023 - Elsevier
An analytical solution of the steady natural convective flow in a vertical rectangular cavity
induced by a uniform volumetric heat generation is established in the case where two …

Onset of internal convection in superposed air-porous layer with heat source depending on solid volume fraction: influence of different modeling

E Kolchanova, N Kolchanov - Acta Mechanica, 2022 - Springer
A linear stability analysis for the onset of internal convection in a composite air-porous layer
with the heat source strength depending on the solid volume fraction is carried out through …

Onset of penetrative convection in a multilayered heat-generating porous system with thin air interlayers

E Kolchanova, N Kolchanov - Microgravity Science and Technology, 2023 - Springer
The study is devoted to a new problem concerning the onset of penetrative convection via
internal heating in a multilayered air-porous system under the gravitational field. The system …

Generalized integral transform solution for free vibration of orthotropic rectangular plates with free edges

Y He, C An, J Su - Journal of the Brazilian Society of Mechanical Sciences …, 2020 - Springer
Free vibration of orthotropic rectangular thin plates of constant thickness with two opposite
edges clamped and one or two edges free is analyzed by generalized integral transform …

Vector eigenfunction expansion in the integral transform solution of transient natural convection

KM Lisboa, J Su, RM Cotta - … Journal of Numerical Methods for Heat & …, 2019 - emerald.com
Vector eigenfunction expansion in the integral transform solution of transient natural convection
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Leveraging the entropy generation minimization and designed porous media for the optimization of heat sinks employed in low-grade waste heat harvesting

KM Lisboa, JLZ Zotin, CP Naveira-Cotta… - International Journal of …, 2021 - Elsevier
ABSTRACT A comprehensive optimization procedure for the design of heat sinks used to
harvest low-grade waste heat for secondary processes is proposed. A designed porous …

Conduction-radiation heat transfer in a gray semi-transparent medium: combining integral transforms and discrete ordinate method.

JVL de Oliveira, ZE Silva, JA Lima… - High Temperatures …, 2024 - search.ebscohost.com
This work presents a novel approach to solve the unsteady one-dimensional coupled heat
conduction-radiation problem for a gray semi-transparent, absorbing, emitting, and diffusing …

Unified Integral Transforms and Non-Classical Eigenvalue Problems in Heat and Mass Transfer

RM Cotta, DC Knupp, KM Lisboa… - Journal of Heat …, 2023 - asmedigitalcollection.asme.org
The generalized integral transform technique (GITT) is reviewed as a computational–
analytical methodology in linear and nonlinear convection–diffusion problems, based on …

Integral transforms for flow and transport in discrete and continuum models of fractured heterogeneous porous media

RM Cotta, KM Lisboa, JLZ Zotin - Advances in Water Resources, 2020 - Elsevier
Abstract The Generalized Integral Transform Technique (GITT) is employed in combination
with a single domain reformulation strategy and a coupled eigenvalue problem expansion …