Analytical solutions of two-dimensional diffusion type problems in irregular geometries

DOI10.1016/0016-0032(89)90021-5zbMath0691.35072OpenAlexW2014927722MaRDI QIDQ582476

J. B. Aperecido, Renato M. Cotta, M. N. Oezisik

Publication date: 1989

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(89)90021-5

zbMATH Keywords

diffusion type problems

Mathematics Subject Classification ID

Diffusion (76R50) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05)

Related Items (6)

Approximation error model (AEM) approach with hybrid methods in the forward-inverse analysis of the transesterification reaction in 3D-microreactors ⋮ Integral transform analysis of microchannel fluid flow: irregular geometry estimation using velocimetry data ⋮ Laminar flow and convective heat transfer of non-Newtonian fluids in doubly connected ducts ⋮ Integral transforms in the two‐dimensional non‐linear formulation of longitudinal fins with variable profile ⋮ Laminar flow inside hexagonal ducts ⋮ Integral transformation of elliptic problems within irregular domains

Uses Software

• IMSL Numerical Libraries

Cites Work

• Periodic B-spline basis for quasi-steady periodic inverse heat conduction
• Unified solutions of heat diffusion in a finite region involving a surface film of finite heat capacity
• Laminar forced convection inside ducts with periodic variation of inlet temperature
• An alternative general solution of the steady-state heat diffusion equation

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