Electroosmotic Flow Control in Complex Microgeometries

2000 ◽  
Author(s):  
Prashanta Dutta ◽  
Ali Beskok
Keyword(s):  
Flow Control ◽  
Electroosmotic Flow ◽  
Spectral Element Method ◽  
Spectral Element ◽  
Separation Control ◽  
Control Techniques ◽  
Pressure Distributions ◽  
Flow Adjustment ◽  
Analytical Relations ◽  
P Type

Abstract A high-order (h/p type) spectral element method is developed, and verified for numerical simulation of combined electroosmotic and pressure driven flows in complex microgeometries. Analytical relations for wall shear stress, velocity and pressure distributions in straight channels are obtained. The electrokinetic pumping action is demonstrated. Electroosmotic flows in groove-channels, microchannel junctions and Y-split junctions are analyzed. Precise flow adjustment and separation control techniques using the electroosmotic forces are demonstrated. In the Stokes flow regime, the flow control is shown to have linear dependence on the magnitude of the external electric field. Hence, the electroosmotic forces can be used as linear actuators for various microfluidic applications.

Numerical Modeling of Electroosmotically Driven Micro Flows

1999 ◽  
Author(s):  
Prashanta Dutta ◽  
Ali Beskok ◽  
Timothy C. Warburton
Keyword(s):  
Spectral Element ◽  
Double Layers ◽  
Channel Height ◽  
Shear Stresses ◽  
Pressure Gradients ◽  
Pressure Distributions ◽  
Micro Channels ◽  
Micro Flows ◽  
Analytical Relations ◽  
P Type

Abstract Electroosmotically driven flows in micro-channels are analyzed analytically and numerically. Semi-analytical relations for the velocity and pressure distributions in micro channels are obtained for electric double layers that are much smaller than the channel height, by using the Helmholtz Smoluchowski velocity. Analytical relations for wall shear stress and pressure distribution are obtained. Amplification of the normal and shear stresses on the walls are observed and documented. A high-order (h/p type) spectral element method is developed, and verified for numerical simulation of electroosmotic micro fluidic flows. Finally, flow through a step channel geometry is analyzed to document the interaction of the electroosmotic forces with adverse pressure gradients. Significant changes within the separation patterns are observed.

scholarly journals The Implementation of Spectral Element Method in a CAE System for the Solution of Elasticity Problems on Hybrid Curvilinear Meshes

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Dmitriy Konovalov ◽  
Anatoly Vershinin ◽  
Konstantin Zingerman ◽  
Vladimir Levin
Keyword(s):  
Mathematical Simulation ◽  
High Performance ◽  
Spectral Element Method ◽  
New Technologies ◽  
Spectral Element ◽  
High Tech ◽  
Engineering Analysis ◽  
Elasticity Problems ◽  
Cae System ◽  
Element Method

Modern high-performance computing systems allow us to explore and implement new technologies and mathematical modeling algorithms into industrial software systems of engineering analysis. For a long time the finite element method (FEM) was considered as the basic approach to mathematical simulation of elasticity theory problems; it provided the problems solution within an engineering error. However, modern high-tech equipment allows us to implement design solutions with a high enough accuracy, which requires more sophisticated approaches within the mathematical simulation of elasticity problems in industrial packages of engineering analysis. One of such approaches is the spectral element method (SEM). The implementation of SEM in a CAE system for the solution of elasticity problems is considered. An important feature of the proposed variant of SEM implementation is a support of hybrid curvilinear meshes. The main advantages of SEM over the FEM are discussed. The shape functions for different classes of spectral elements are written. Some results of computations are given for model problems that have analytical solutions. The results show the better accuracy of SEM in comparison with FEM for the same meshes.

Large eddy simulation of the differentially heated cubic cavity flow by the spectral element method

2013 ◽  
Vol 86 ◽  
pp. 210-227 ◽  
Author(s):  
Christoph Bosshard ◽  
Abdelouahab Dehbi ◽  
Michel Deville ◽  
Emmanuel Leriche ◽  
Riccardo Puragliesi ◽  
...  
Keyword(s):  
Large Eddy Simulation ◽  
Spectral Element Method ◽  
Cavity Flow ◽  
Spectral Element ◽  
Eddy Simulation ◽  
Large Eddy ◽  
Element Method
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