每年出版 12 期
ISSN 打印: 1091-028X
ISSN 在线: 1934-0508
Indexed in
AXISYMMETRIC AND ASYMMETRIC INSTABILITIES OF A NON-NEWTONIAN LIQUID JET MOVING IN AN INVISCID STREAMING GAS THROUGH POROUS MEDIA
摘要
In this paper, a linear stability analysis is presented for a non-Newtonian liquid jet moving in a streaming inviscid gas through porous media with three-dimensional disturbances. The dispersion relation between the non-dimensional growth rate and the non-dimensional wave number is derived using appropriate boundary conditions, and it is solved numerically via a new technique using Mathematica software. The effects of different parameters on the stability behavior of the system are discussed in detail. The instability behavior of the jet is influenced by the interaction of liquid viscosity, porous medium parameters, and elasticity. It is shown that non-Newtonian liquid jets are more than their Newtonian counterparts, and that Squire's theorem is in general no longer applicable. It is shown also that the elasticity, Reynolds, Weber numbers; gas to liquid density ratio, and the jet velocity have destabilizing effects; while the porosity of porous medium, medium permeability, surface tension, jet viscosity, and the deformation retardation time to stress relaxation time ratio have stabilizing influences. The dynamic viscosity of the gas to the zero shear viscosity of the liquid and the Ohnesorge number are found to have dual roles on the stability of the considered system. Moreover, it is found that the system is more unstable in the presence of porous medium than in its absence.
-
Moatimid G.M., El-Dib Y.O., Zekry M.H., Stability analysis using multiple scales homotopy approach of coupled cylindrical interfaces under the influence of periodic electrostatic fields, Chinese Journal of Physics, 56, 5, 2018. Crossref
-
Moatimid G M, El-Dib Y O, Zekry M H, Instability analysis of a streaming electrified cylindrical sheet through porous media, Pramana, 92, 2, 2019. Crossref
-
Moatimid Galal M, Amer Mohamed F E, EHD instability of two rigid rotating dielectric columns in porous media, Pramana, 95, 1, 2021. Crossref
-
Moatimid Galal M., Amer Mohamed F. E., Mohamed Mona A. A., Electrohydrodynamic Instability of a Cylindrical Interface: Effect of the Buoyancy Thermo-Capillary in Porous Media, Microgravity Science and Technology, 33, 4, 2021. Crossref
-
El-Sayed Mohamed Fahmy, Alanzi Agaeb Mahal, Electrohydrodynamic Liquid Sheet Instability of Moving Viscoelastic Couple-Stress Dielectric Fluid Surrounded by an Inviscid Gas through Porous Medium, Fluids, 7, 7, 2022. Crossref
-
He Ji-Huan, Moatimid Galal M., Amer Mohamed F.E., EHD stability of a viscid fluid cylinder surrounding by viscous/inviscid gas with fluid-particle mixture in permeable media, Results in Physics, 39, 2022. Crossref
-
Alali Elham, Moatimid Galal M., Amer Mohamed F.E., EHD stability of two horizontal finite conducting rotating viscous fluids: Effects of energy and concentration distributions, Results in Physics, 40, 2022. Crossref