The Generalized Graetz Problem in Finite Domains

DOI10.1137/11082542XzbMath1408.76489OpenAlexW4299664870MaRDI QIDQ2884617

Charles Pierre, Jérôme Fehrenbach, Frédéric de Gournay, Franck Plouraboué

Publication date: 30 May 2012

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

Full work available at URL: https://doi.org/10.1137/11082542x

zbMATH Keywords

existencevariational formulationconvection-diffusion problemmultireflection image methodoperator eigenvalue

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Applications of operator theory in the physical sciences (47N50) Diffusion and convection (76R99)

Related Items (7)

Numerical computation of 3D heat transfer in complex parallel heat exchangers using generalized graetz modes ⋮ The Case of Neumann, Robin, and Periodic Lateral Conditions for the Semi-infinite Generalized Graetz Problem and Applications ⋮ Analytical properties of Graetz modes in parallel and concentric configurations ⋮ Pseudo spectral solution of extended Graetz problem for combined pressure-driven and electroosmotic flow in a triangular micro-duct ⋮ The Graetz problem in tubes of arbitrary cross section ⋮ MATHEMATICAL ANALYSIS OF PARALLEL CONVECTIVE EXCHANGERS WITH GENERAL LATERAL BOUNDARY CONDITIONS USING GENERALIZED GRAETZ MODES ⋮ Solidification of a rivulet: shape and temperature fields

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