Numerical and asymptotic analysis to the Cartesian Graetz problem with viscous dissipation

DOI10.1016/J.RINAM.2021.100144zbMath1476.80015OpenAlexW3130886573MaRDI QIDQ2043828

Marco Rosales-Vera

Publication date: 3 August 2021

Published in: Results in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.rinam.2021.100144

zbMATH Keywords

asymptotic analysisviscous dissipationnumerical analysisGraetz problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Flows in porous media; filtration; seepage (76S05) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Asymptotic analysis for problems in thermodynamics and heat transfer (80M35) Diffusive and convective heat and mass transfer, heat flow (80A19)

Cites Work

• Fully developed laminar forced convection in circular ducts for power-law fluids with viscous dissipation
• Improved approximation for the Nusselt number for hydrodynamically developed laminar flow between parallel plates
• On the application of the Fourier series solution to the hydromagnetic buoyant two-dimensional laminar vertical jet
• Thermally developing Poiseuille flow with a non-uniform entrance temperature when the viscous heat generation is significant
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