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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 76, 2019 - Issue 6
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Original Articles

Integral transform solution of eigenvalue problems within irregular geometries: Comparative analysis of different methodologies

I. F. PinheiroDepartment of Mechanical Engineering – TEM/PGMEC, Universidade Federal Fluminense – UFF, Niterói, RJ, Brazil; ORCID Iconhttp://orcid.org/0000-0002-2954-1869View further author information
ORCID Icon,
L. A. SphaierDepartment of Mechanical Engineering – TEM/PGMEC, Universidade Federal Fluminense – UFF, Niterói, RJ, Brazil; Correspondence[email protected]
ORCID Iconhttp://orcid.org/0000-0003-3698-1077View further author information
ORCID Icon &
D. C. KnuppLaboratory of Experimentation and Numerical Simulation in Heat and Mass Transfer – LEMA, Universidade do Estado do Rio de Janeiro – UERJ, Nova Friburgo, RJ, BrazilORCID Iconhttp://orcid.org/0000-0001-9534-5623View further author information
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Pages 329-350 | Received 04 Feb 2019, Accepted 09 Apr 2019, Published online: 18 Sep 2019

Citations (6)

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Read on this site (1)

Fabricio S. Mascouto, Diego C. Knupp, Luiz A. S. Abreu, Emerson L. Sanches & Leandro A. Sphaier. (2020) Detection of contact failures employing combination of integral transforms with single-domain formulation, finite differences, and Bayesian inference. Numerical Heat Transfer, Part A: Applications 77:6, pages 599-618.
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Articles from other publishers (5)

Kleber Marques Lisboa, Isabela Florindo Pinheiro & Renato Machado Cotta. (2023) Integral Transform Solution of Porous Medium Models for Heat Sinks Subject to Periodic Heat Loads. ASME Journal of Heat and Mass Transfer 145:4.
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R. M. Cotta, D. C. Knupp, K. M. Lisboa, C. P. Naveira-Cotta, J. N. N. Quaresma & L. A. Sphaier. (2023) Unified Integral Transforms and Non-Classical Eigenvalue Problems in Heat and Mass Transfer. ASME Journal of Heat and Mass Transfer 145:1.
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P. C. Pontes, K. B. Oliveira, E. N. Macêdo, J. N. N. Quaresma, C. P. Naveira-Cotta & R. M. Cotta. (2022) Nonlinear eigenvalue problem approach for mass transfer in supported liquid membrane co-transport separation processes. Journal of the Brazilian Society of Mechanical Sciences and Engineering 44:12.
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Isabela F. Pinheiro & Leandro A. Sphaier. (2022) SEMI-ANALYTICAL METHOD FOR INTEGRAL TRANSFORM SOLUTION OF TRANSIENT DIFFUSION WITH VARIABLE COEFFICIENTS. Computational Thermal Sciences: An International Journal 14:4, pages 39-52.
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I.F. Pinheiro, G. Puccetti, G.L. Morini & L.A. Sphaier. (2021) Integral transform analysis of microchannel fluid flow: Irregular geometry estimation using velocimetry data. Applied Mathematical Modelling 90, pages 943-954.
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