Linear instability of the electrified free interface between two cylindrical shells of viscoelastic fluids through porous media
作者： Magdy A. Sirwah
DOI: 10.1007/S10409-012-0208-2
关键词: Dispersion relation 、 Porous medium 、 Viscoelasticity 、 Newtonian fluid 、 Instability 、 Viscosity 、 Materials science 、 Oldroyd-B model 、 Surface charge 、 Mechanics
摘要: In this paper, we have discussed the linear stability analysis of electrified surface separating two coaxial Oldroyd-B fluid layers confined between impermeable rigid cylinders in presence both interfacial insoluble surfactant and charge through porous media. The case long waves has been studied. dispersion relation is solved numerically hence effects various parameters are illustrated graphically. Our results reveal that influence physicochemical parameter β to shrink instability region reduce growth rate unstable normal modes. Such important on shape structures more sensitive variation corresponding non-Newtonian fluids-model compared with Newtonian fluids model. wave limit, it demonstrated increasing β, a dual role in-fluence (de-stabilizing effects) depending viscosity core fluid. It destabilizing effect at large values coefficient, while exchanged regularly stabilizing small such coefficient.
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S. Kwak, C. Pozrikidis, Effect of surfactants on the instability of a liquid thread or annular layer International Journal of Multiphase Flow. ,vol. 27, pp. 1- 37 ,(2001) , 10.1016/S0301-9322(00)00011-2
John P Boyd, Chebyshev and Fourier spectral methods Boyd. ,(2001)
I Mohammed Rizwan Sadiq, R Usha, None, Linear instability in a thin viscoelastic liquid film on an inclined, non-uniformly heated wall International Journal of Engineering Science. ,vol. 43, pp. 1435- 1449 ,(2005) , 10.1016/J.IJENGSCI.2005.05.019
Wenchang Tan, Takashi Masuoka, Stokes’ first problem for an Oldroyd-B fluid in a porous half space Physics of Fluids. ,vol. 17, pp. 023101- ,(2005) , 10.1063/1.1850409
Leonard F. Pease, William B. Russel, Linear stability analysis of thin leaky dielectric films subjected to electric fields Journal of Non-newtonian Fluid Mechanics. ,vol. 102, pp. 233- 250 ,(2002) , 10.1016/S0377-0257(01)00180-X
O. Ozen, N. Aubry, D.T. Papageorgiou, P.G. Petropoulos, Electrohydrodynamic linear stability of two immiscible fluids in channel flow Electrochimica Acta. ,vol. 51, pp. 5316- 5323 ,(2006) , 10.1016/J.ELECTACTA.2006.02.002
O.K. Matar, C.J. Lawrence, The flow of a thin conducting film over a spinning disc in the presence of an electric field Chemical Engineering Science. ,vol. 61, pp. 3838- 3849 ,(2006) , 10.1016/J.CES.2006.01.021
K. Zakaria, M. Sirwah, A. Assaf, Nonlinear Marangoni instability of a liquid jet in the presence of electric field Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik. ,vol. 89, pp. 902- 921 ,(2009) , 10.1002/ZAMM.200800163
Fang Li, Xie-Yuan Yin, Xie-Zhen Yin, Instability analysis of an inner-driving coaxial jet inside a coaxial electrode for the non-equipotential case Journal of Electrostatics. ,vol. 66, pp. 58- 70 ,(2008) , 10.1016/J.ELSTAT.2007.08.001
Jing-Li Fu, Hao Fu, Rong-Wan Liu, Hojman conserved quantities of discrete mechanico–electrical systems constructed by continuous symmetries Physics Letters A. ,vol. 374, pp. 1812- 1818 ,(2010) , 10.1016/J.PHYSLETA.2010.02.046