Journal
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
Volume 187, Issue -, Pages 43-47Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.jnnfm.2012.09.005
Keywords
Electric double layer; Electroosmotic flow; Generalized Maxwell fluids; Relaxation times; Laplace transform
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Funding
- Ph.D. Programs Foundation of Ministry of Education of China [20111501120001]
- National Natural Science Foundations of China [11062005, 11202092]
- Opening fund of State Key Laboratory of Nonlinear Mechanics
- Natural Science Foundation of Inner Mongolia [2010BS0107, 2012MS0107]
- research start up fund for excellent talents at Inner Mongolia University [Z20080211]
- Natural Science Key Fund of Inner Mongolia [2009ZD01]
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Non-Newtonian fluids such as blood, colloids, and cell suspensions are often manipulated in microfluidic devices and exhibit extraordinary flow behaviors, not existing in Newtonian fluids. This paper represents an analytical solution of transient velocity for electroosmotic flow of generalized Maxwell fluids through both a micro-parallel channel and a microtube, using the method of Laplace transform. The solution involves analytically solving the linearlized Poisson-Boltzmann equation, together with the Cauchy momentum equation and the general Maxwell constitutive equation. By numerical computations, the influence of normalized relaxation time on transient EOF velocity is investigated for different parametric values. (C) 2012 Elsevier B.V. All rights reserved.
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