Viscoelastic potential flow instability theory of Rivlin-Ericksen electrified fluids of cylindrical interface  

作　　者：D.M.Mostafa 

机构地区：[1]Department of Mathematics,College of Science,Qassim University,PO Box 6644,Buraidah 51452,Saudi Arabia [2]Department of Mathematics,Faculty of Education,Ain Shams University,Roxy,Cairo,Egypt

出　　处：《Journal of Ocean Engineering and Science》2024年第4期311-316,共6页海洋工程与科学（英文）

摘　　要：A linear electrohydrodynamic Kelvin-Helmholtz instability of the interface between two viscoelastic Rivlin-Ericksen fluids enclosed by two concentric horizontal cylinders has been studied via the viscoelastic potential flow theory.The dispersion equation of complex coefficients for asymmetric disturbance has been obtained by using normal mode technique.the stability criteria are analyzed theoretically and illustrated graphically.The imaginary part of growth rate is plotted versus the wave number.The influences of dynamic viscoelastic,uniform velocities,Reynolds number,electric field,dynamic viscosity,density fluids ratio,dielectric constant ratio and inner fluid fraction on the stability of the system are discussed.The study finds its significance in Ocean pipelines to transfer oil or gas such as Eastern Siberia-Pacific Ocean oil pipeline.

关 键 词：Rivlin-Ericksen fluid Cylindrical flow Viscoelastic potential flow Electrohydrodynamics stability 

分 类 号：O35[理学—流体力学]