Pseudo spectral solution of extended Graetz problem for combined pressure-driven and electroosmotic flow in a triangular micro-duct

DOI10.1016/j.camwa.2020.04.025zbMath1447.65170OpenAlexW3034353270MaRDI QIDQ2194818

Yanyan Li

Publication date: 7 September 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.04.025

zbMATH Keywords

Helmholtz equationorthogonal functionsNusselt numberextended Graetz problemelectroosmotic flowpseudo spectral Galerkin method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Magnetohydrodynamics and electrohydrodynamics (76W05) Boltzmann equations (35Q20) Electrochemistry (78A57) Diffusive and convective heat and mass transfer, heat flow (80A19)

Cites Work

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• Error analysis of spectral method on a triangle
• Laminar flow and heat transfer in plate-fin triangular ducts in thermally developing entry region
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• A spectral method for triangular prism
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• Thermal characteristics of mixed electroosmotic and pressure-driven microflows
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• Microflows and nanoflows. Fundamentals and simulation. Foreword by Chih-Ming Ho.
• The Generalized Graetz Problem in Finite Domains
• Heat transfer in laminar flow between parallel plates at small Péclét numbers
• Numerical Analysis of a New Mixed Formulation for Eigenvalue Convection-Diffusion Problems
• High degree efficient symmetrical Gaussian quadrature rules for the triangle
• The extended Graetz problem with Dirichlet wall boundary conditions
• On Diffraction and Radiation of Electromagnetic Waves
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