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

被引：4

作者：

Alshammari, Fehaid Salem ^{[1
]}

Akyildiz, F. Talay ^{[1
]}

机构：

[1] Imam Muhammad ibn Saud Islamic Univ, Fac Sci, Dept Math & Stat, Riyadh, Saudi Arabia

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2020年 / 80卷 / 05期

关键词：

Pseudo spectral Galerkin method; Electroosmotic flow; Extended Graetz problem; Helmholtz equation; Nusselt number; Orthogonal functions; DNA HYBRIDIZATION; HEAT-TRANSFER; MICROCHANNEL; FORMULATION; CONVECTION; VELOCITY;

D O I：

10.1016/j.camwa.2020.04.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Thermally developing mixed electroosmotically and pressure-driven flow in a triangular micro-duct with a step change wall temperature is investigated. Both axial conduction (Graetz problem extended) and Joule heating effects are taken into consideration. A new higher order accurate method is proposed. The proposed method is based on pseudo spectral Galerkin approach and the eigenfunctions of the Helmholtz equation for a triangular geometry. Convergence of the method is investigated and the effect of the Peclet (Pe) number, Joule heating and Debye-Hikkel parameter on the temperature distribution and Nusselt number (Nu) are discussed in detail. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页码：990 / 1008

页数：19