2014/02/12 by Takhar, H.S., Majid Ali, Ali, M.A. +2
Chemical Engineering · Computer Science · Engineering · #Fluid Dynamics and Thin Films #Nonlinear Dynamics and Pattern Formation #Rheology and Fluid Dynamics Studies
paper · doi:10.24423/aom.1371
openalex publication_date 2014/02/12 · openalex created_date 2016/08/23 · openalex updated_date 2026/07/01
A finite-difference solution for the stability of flow of a viscous fluid in an annular wide-gap space is carried out by taking into account the effects of finite growth rate of the amplification factor σ. The numerical values of the minimum Taylor number Tam and the critical Taylor number Tac for different values of η and for σ ≷ 0 and σ = 0, respectively, are derived and tabulated. The effects of η and σ on the radial component of disturbance and on the cell patterns are shown. It is observed that for increasing σ(> 0), the cell patterns are reduced in size, while for decreasing σ(< 0) they are enlarged.