Taylor–Couette flow with temperature fluctuations: Time periodic solutions

نویسندگان

چکیده

We consider the motion of a viscous compressible and heat conducting fluid confined in gap between two rotating cylinders (Taylor–Couette flow). The temperature is fixed but not necessarily constant. show that problem admits time-periodic solution as soon ratio angular velocities rational number.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Time-periodic Electroosmotic Flow of Non-newtonian Fluids in Microchannels

The alternating current electroosmotic flow of a non-Newtonian power-law fluid is studied in a circular microchannel. A numerical method is employed to solve the non-linear Poisson-Boltzmann and the momentum equations. The main parameters which affect the flow field are the flow behavior index, the dimensionless zeta potential and the dimensionless frequency. At very low dimensionless frequenci...

متن کامل

Time-periodic solutions for a generalized Boussinesq model with Neumann boundary conditions for temperature

Time-periodic solutions for a generalized Boussinesq model with Neumann boundary conditions for temperature BY BLANCA CLIMENT-EZQUERRA, FRANCISCO GUILLÉN-GONZÁLEZ AND MARKO ANTONIO ROJAS-MEDAR* Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Aptdo. 1160, 41080 Sevilla, Spain Universidad del Bı́o-Bı́o Facultad de Ciencias, Departamento de Ciencias Básicas, Cam...

متن کامل

Stability and fluctuations of a spatially periodic convective flow

2014 Using a model equation we analyze the onset of convection for a roll instability. The wavelength increase follows from a variational approach. For certain wavelengths, phase diffusion turns out to be unstable against compression (or dilatation) and torsion of the rolls. Thermal phase fluctuations induce a tiny brownian motion of the structure which should be observable in carefully designe...

متن کامل

Periodic solutions for van der Pol equation with time delay

In this paper, the van der Pol equation with a time delay is considered, where the time delay is regarded as a parameter. It is found that Hopf bifurcation occurs when this delay passes through a sequence of critical value. A formula for determining the direction of the Hopf bifurcation and the stability of bifurcating periodic solutions is given by using the normal form method and center manif...

متن کامل

Time-periodic Solutions to Systems of Conservation Laws with Ellipticity

We study the time-periodic solutions to systems of conservation laws with ellipticity. It is shown that under time-periodic boundary condition, the system admits at least one global time-periodic solution bounded uniformly with the same period.

متن کامل

ذخیره 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: Mathematical Models and Methods in Applied Sciences

سال: 2023

ISSN: ['0218-2025', '1793-6314', '1793-4060']

DOI: https://doi.org/10.1142/s0218202523500276