Electrohydrodynamic Liquid Sheet Instability of Moving Viscoelastic Couple-Stress Dielectric Fluid Surrounded by an Inviscid Gas through Porous Medium
نویسندگان
چکیده
Viscoelastic liquid sheet of couple-stress type streaming with relative motion into an inviscid gas through porous molium is studied theoretically and quantitatively in this project. To derive the differential equations that describe liquids, gases, electric field, we linearized governing continuity, Maxwell’s quasi-static approximation, appropriate boundary conditions at two interfaces. Then used normal mode method. It was demonstrated analytically solutions to these can be found for both symmetric antisymmetric disturbances, respectively. We could not obtain explicit form growth rates since solve dispersion relations situations because they were obtained highly complex forms. The Mathematica program dimensionless forms numerically using Gaster’s theorem. Various influences on stability analysis considered system have been detail, it determined presence a material more unstable than would otherwise. In two-dimensional system, disturbance case corresponding situation. Some characteristics, such as Wabe number, Ohnesorge destabilizing effects, whereas others, porosity, medium permeability, viscoelasticity parameter, gas-to-liquid viscosity ratio, dielachic constants, stabilizing effects. Finally, discovered velocity ratio plays dual role condition depending whether U ≶ 1. past, only evidence very few previous studies.
منابع مشابه
Instability in Walters B’ Viscoelastic Dusty Fluid through Porous Medium
A detailed account of the theoretical and experimental study of thermal instability (Bénard convection) in Newtonian fluids, under varying assumptions of hydrodynamics and hydromagnetics, has been treated in detail by Chandrasekhar [1]. The use of Boussinesq approximation has been made throughout, which states that the density may be treated as a constant in all the terms in the equations of mo...
متن کاملInfluence of an external magnetic field on the peristaltic flow of a couple stress fluid through a porous medium.
Magnetohydrodynamic(MHD) peristaltic flow of a Couple Stress Fluid through a permeable channel is examined in this investigation. The flow analysis is performed in the presence of an External Magnetic Field. Long wavelength and low Reynolds number approach is implemented. Mathematical expressions of axial velocity, pressure gradient and volume flow rate are obtained. Pressure rise, frictional f...
متن کاملSecond Law Analysis for Couple Stress Fluid Flow through a Porous Medium with Constant Heat Flux
In the present work, entropy generation in the flow and heat transfer of couple stress fluid through an infinite inclined channel embedded in a saturated porous medium is presented. Due to the channel geometry, the asymmetrical slip conditions are imposed on the channel walls. The upper wall of the channel is subjected to a constant heat flux while the lower wall is insulated. The equations gov...
متن کاملDouble-Diffusive Magneto Convection in a Compressible Couple-Stress Fluid Through Porous Medium
The double-diffusive convection in a compressible couple-stress fluid layer heated and soluted from below through porous medium is considered in the presence of a uniform vertical magnetic field. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For stationary convection, the compressibility, stable solute gradient, magnetic field, and coup...
متن کاملSlip flow of an optically thin radiating non-Gray couple stress fluid past a stretching sheet
This paper addresses the combined effects of couple stresses, thermal radiation, viscous dissipation and slip condition on a free convective flow of a couple stress fluid induced by a vertical stretching sheet. The Cogley- Vincenti-Gilles equilibrium model is employed to include the effects of thermal radiation in the study. The governing boundary layer equations are transformed into a system o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fluids
سال: 2022
ISSN: ['2311-5521']
DOI: https://doi.org/10.3390/fluids7070247