Convective Instabilities Of Ternary Mixtures In Thermogravitational Columns
- Paper number
IAC-07-A2.2.05
- Author
Mr. Abdelfattah Zebib, Rutgers University, United States
- Year
2007
- Abstract
Convective instabilities in side heated infinite vertical slots containing a single fluid are stationary, shear driven when the Prandtl number while they are oscillatory, buoyancy dominated with due to the diminished influence of the thermal diffusivity with increasing . In [1] we addressed the influence of the Soret effect on this instability in binary mixtures. Here we examine the influence of the concentration field generated by thermodiffusion in a ternary mixture of otherwise uniform concentration on this phenomenon. We first derive expressions and calculate the basic steady one-dimensional flow taking into account the vertical concentration gradients caused by thermodiffusion. Linear stability of this basic state is performed and the critical Rayleigh number, wavenumber and frequency are determined as function of the two separation ratios, ratio of thermal expansivities, four Lewis numbers, and . The results are in excellent agreement with the base flow of the ternary mixture considered in [2,3]. Stability results agree very well with those from a simplified model in the long wave approximation [4]. Stability restrictions on the operation of the thermogravitational column for the ternary mixture [2,3] will be discussed. References [1]A. Zebib, J. Noneq. Therm. (2007), in press [2]A. Leahy-Dios, M. Bou-Ali, J. Platten and A. Firoozabadi J. Chem. Phys. 122 (2005) [3]I. Ryzhkov and V. Shevtsova, Phys. Fluids (2007), in press [4]I. Ryzhkov and V. Shevtsova, (2006), private comm.
- Abstract document