The Case of Neumann, Robin, and Periodic Lateral Conditions for the Semi-infinite Generalized Graetz Problem and Applications

DOI10.1137/17M1157507zbMath1397.65201arXiv1803.00834OpenAlexW2963377257WikidataQ59764198 ScholiaQ59764198MaRDI QIDQ4584286

Jérôme Fehrenbach, Valentin Debarnot, Frédéric de Gournay, Léo Martire

Publication date: 30 August 2018

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.00834

zbMATH Keywords

numerical analysiseigenvalue decompositionGraetz problem

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (1)

Analytical properties of Graetz modes in parallel and concentric configurations

Cites Work

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• Extended Graetz problem including streamwise conduction and viscous dissipation in microchannel
• Conjugate problems in convective heat transfer: review
• An analytical study of heat and mass transfer through a parallel-plate channel with recycle
• Heat transfer by laminar Hartmann flow in thermal entrance region with a step change in wall temperatures: The Graetz problem extended
• The Graetz problem with axial heat conduction
• The Generalized Graetz Problem in Finite Domains
• Numerical Analysis of a New Mixed Formulation for Eigenvalue Convection-Diffusion Problems
• The extended Graetz problem with Dirichlet wall boundary conditions
• The extended Graetz problem with piecewise constant wall heat flux for pipe and channel flows

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