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electro-osmotic flow and heat transfer of a non-Newtonian fluid in a hydrophobic microchannel with Navier slip

Journal of Hydrodynamics 2015年第5期27卷 647-657页

作者： MISRA J.C. SINHA A. Adjunct Professor Centre for Healthcare Science and Technology Indian Institute of Engineering Science and Technology School of Medical Science and Technology Indian Institute of Technology

In this paper, we investigate the implications of electro-osmosis on electrohydrodynamic transport of a non-Newtonian fluid on a hydrophobic micro-channel by developing a suitable analytical method. Velocity-slip and temperature-jump conditions are paid due attention. An attempt has been made to examine the effects of rheological and electro-osmotic parameters on the kinematics of the fluid. The nonlinear Poisson-Boltzmann equation governing the formation of the electrical double layer and the body force that is generated by the applied potential are accounted for in the study. Perturbation solutions are presented. In order to exhibit the applicability of the analysis, the problem of electro-osmotic flow and heat transfer of blood in an arteriole has been taken up as an illustrative example of a real-life problem. An intensive quantitative study has been made through numerical computation of the physical variables involved in the analysis, which are of special interest in the study. The computational results are presented graphically. The study reveals that the temperature of blood can be controlled by increasing/decreasing the Joule heating parameter.

关键词： electro-osmotic flow hydrophobic microchannel electrical double layer viscoelastic fluid velocity-slip temperature-jump

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flow of a micropolar fluid in a micro-channel under the action of an alternating electric field: Estimates of flow in bio-fluidic devices

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Journal of Hydrodynamics 2015年第3期27卷 350-358页

作者： MISRA J.C. CHANDRA S. HERWIG H. Centre for Healthcare Science and Technology Indian Institute of Engineering Science and Technology Department of Physics Sabang S. K. Mahavidyalaya Vidyasagar University Institute of Thermo-Fluid Dynamics Technische Universitat Hamburg-Harburg

The paper is devoted to a study of the electro-osmotic flow of a micropolar bio-fluid, when the flow takes place between two plates that are in a state of periodic vibrations. Considering blood as a micropolar fluid, it is found that the amplitude of oscillation of the microparticles of blood increases when the micropolar effect is pronounced more and more and that a rise in DebyeHtickel parameter enhances both the velocity and microrotation gradient. The results provide guidelines for the improvement of design of bio-sensing and micro-fluidic devices. The study leads to the conclusion that electrical double layers formed in the vicinity of the wall can significantly alter the flow dynamics of physiological fluids in micro-bio-fluidic devices.

关键词： microrotation electro-osmotic flow Debye-Hiickel parameter micropolar fluid

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electroosmotic flow of MHD Power Law Al_2O_3-PVC Nanofluid in a Horizontal Channel: Couette-Poiseuille flow Model

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Communications in Theoretical Physics 2018年第6期69卷 655-666页

作者： N.Shehzad A.Zeeshan R.Ellahi Department of Mathematics and Statistics FBAS IIUI

The current manuscript is reported about the eiectro-osmotic Couette-Poiseuille ftow of power law Al2O3- PVC nanofluid through a channel, in which upper wall is moving with constant velocity. The influences of magnetic field, mixed convection, joule heating, and viscous dissipation are also incorporated. The flow is generated because of constant pressure gradient in axial direction. The resulting flow problem is coupled nonlinear ordinary differential equations, which are at first modeled and then transform into dimensionless form through appropriate transformation. Analytical solution of the governing is carried out. The impact of modified Brinkman number, modified Magnetic field, electro-osmotic parameters on velocity and temperature are examined graphically. From the results, it is concluded that the Skin friction at moving isolated wail decreases with the increase of electro-osmotic parameter and reverse behavior for Nusselt number at heated stationary wall occur.

关键词： Couette-Poiseuille flow power law nanofluid electro-osmotic flow MHD PVC Alumina

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Numerical Study on Viscous Fingering Using Electric Fields in a Hele-Shaw Cell

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Communications in Computational Physics 2023年第2期33卷 399-424页

作者： Meng Zhao Pedro Anjos John Lowengrub Wenjun Ying Shuwang Li Center forMathematical Sciences Huazhong University of Science and TechnologyWuhanHubei 430074China Department of AppliedMathematics Illinois Institute of TechnologyChicagoIL 60616USA Department of Mathematics University of California IrvineIrvineCA 92697USA School of Mathematical Sciences MOE-LSC and Institute of Natural SciencesShanghai Jiao Tong UniversityShanghai 200240China.

We investigate the nonlinear dynamics of amoving interface in aHele-Shaw cell subject to an in-plane applied electric *** develop a spectrally accurate numerical method for solving a coupled integral equation *** the stiffness due to the high order spatial derivatives can be removed using a small scale decomposition technique,the long-time simulation is still expensive since the evolving velocity of the interface drops dramatically as the interface *** remove this physically imposed stiffness by employing a rescaling scheme,which accelerates the slow dynamics and reduces the computational *** nonlinear results reveal that positive currents restrain finger ramification and promote the overall stabilization of *** the other hand,negative currents make the interface more unstable and lead to the formation of thin tail structures connecting the fingers and a small inner *** no fluid is injected,and a negative current is utilized,the interface tends to approach the origin and break up into several *** investigate the temporal evolution of the smallest distance between the interface and the origin and find that it obeys an algebraic law(t∗−t)b,where t∗is the estimated pinch-off time.

关键词： Hele-Shaw problem fingering instabilities electro-osmotic flow boundary integral method rescaling idea

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