Linear stability of homogeneous elongational flow of the upper convected Maxwell fluid
نویسندگان
چکیده
We prove that planar elongational flow of the upper convected Maxwell fluid is linearly stable and analyze the associated spectral problem.
منابع مشابه
Magnetohydrodynamic(mhd) Stagnation Point Flow and Heat Transfer of Upper-convected Maxwell Fluid past a Stretching Sheet in the Presence of Nanoparticles with Convective Heating
The study scrutinizes the effect of convective heating on magnetohydrodynamic (MHD) stagnation point flow and heat transfer of upper-convected Maxell fluid p ast a s tretching s heet i n t he p resence o f n anoparticles. T he m odel u sed i n t he s tudy i ncludes t he e ffect o f B rownian m otion and thermophoresis parameters. The non-linear governing equations and their boundary conditions ...
متن کاملIntroduction to Complex Fluids
In this chapter we introduce the fundamental concepts in Newtonian and complex fluid mechanics, beginning with the basic underlying assumptions in continuum mechanical modeling. The equations of mass and momentum conservation are derived, and the Cauchy stress tensor makes its first of many appearances. The Navier–Stokes equations are derived, along with their inertialess limit, the Stokes equa...
متن کاملUnsteady Flow and Heat Transfer of Ucm Fluid in a Porous Channel with Variable Thermal Conductivity and Ion Slip Effects
This article presents an unsteady incompressible Upper Convected Maxwell (UCM) fluid flow with temperature dependent thermal conductivity between parallel porous plates which are maintained at different temperatures varying periodically with time. Assume that there is a periodic suction and injection at the upper and lower plates respectively. The governing partial differential equations are re...
متن کاملSymmetry Analysis of Boundary Layer Equations of an Upper Convected Maxwell Fluid with Magnetohydrodynamic Flow
Steady state boundary layer equations of an upper convected Maxwell fluid with magnetohydrodynamic (MHD) flow are considered. The strength of the magnetic field is assumed to be variable with respect to the location. Using Lie group theory, group classification of the equations with respect to the variable magnetic field is performed. General boundary conditions including stretching sheet and i...
متن کاملDual Solutions for Nonlinear Flow Using Lie Group Analysis
`The aim of this analysis is to investigate the existence of the dual solutions for magnetohydrodynamic (MHD) flow of an upper-convected Maxwell (UCM) fluid over a porous shrinking wall. We have employed the Lie group analysis for the simplification of the nonlinear differential system and computed the absolute invariants explicitly. An efficient numerical technique namely the shooting method h...
متن کامل