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Analytical and numerical study of electroosmotic slip flows of fractional second grade fluids
- Source :
- Communications in Nonlinear Science and Numerical Simulation. 50:77-87
- Publication Year :
- 2017
- Publisher :
- Elsevier BV, 2017.
-
Abstract
- This work investigates the unsteady electroosmotic slip flow of viscoelastic fluid through a parallel plate micro-channel under combined influence of electroosmotic and pressure gradient forcings with asymmetric zeta potentials at the walls. The generalized second grade fluid with fractional derivative was used for the constitutive equation. The Navier slip model with different slip coefficients at both walls was also considered. By employing the Debye-Huckel linearization and the Laplace and sin-cos-Fourier transforms, the analytical solutions for the velocity distribution are derived. And the finite difference method for this problem was also given. Finally, the influence of pertinent parameters on the generation of flow is presented graphically.
- Subjects :
- Numerical Analysis
Laplace transform
Applied Mathematics
Constitutive equation
Mathematical analysis
Finite difference method
02 engineering and technology
Slip (materials science)
021001 nanoscience & nanotechnology
Integral transform
01 natural sciences
010305 fluids & plasmas
Fractional calculus
Physics::Fluid Dynamics
Linearization
Modeling and Simulation
0103 physical sciences
0210 nano-technology
Pressure gradient
Mathematics
Subjects
Details
- ISSN :
- 10075704
- Volume :
- 50
- Database :
- OpenAIRE
- Journal :
- Communications in Nonlinear Science and Numerical Simulation
- Accession number :
- edsair.doi...........d3bf8751a53dd0bab5afeb03b4c004cb