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.
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页码：990 / 1008
页数：19
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