Improved nonlinear fluid model in rotating flow  

作　　者：N. ASHRAFI H. KARIMI-HAGHIGHI 

机构地区：[1]Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2012年第11期1419-1430,共12页应用数学和力学（英文版）

摘　　要：The pseudoplastic circular Couette flow （CCF） in annuli is investigated. The viscosity is dependent on the shear rate that directly affects the conservation equations solved by the spectral method in the present study. The pseudoplastic model adopted here is shown to be the suitable representative of nonlinear fluids. Unlike the previous studies, where only the square of the shear ered to ease the numerical manipulations, quadratic power is also taken into account. rate term in the viscosity expression is consid- in the present study, the term containing the The curved streamlines of the CCF can cause the centrifugal instability leading to toroidal vortices, known as the Taylor vortices. It is further found that the critical Taylor number becomes lower as the pseudoplastic effect increases. The comparison with the existing measurements on the pseudoplastic CCF results in good agreement.The pseudoplastic circular Couette flow （CCF） in annuli is investigated. The viscosity is dependent on the shear rate that directly affects the conservation equations solved by the spectral method in the present study. The pseudoplastic model adopted here is shown to be the suitable representative of nonlinear fluids. Unlike the previous studies, where only the square of the shear ered to ease the numerical manipulations, quadratic power is also taken into account. rate term in the viscosity expression is consid- in the present study, the term containing the The curved streamlines of the CCF can cause the centrifugal instability leading to toroidal vortices, known as the Taylor vortices. It is further found that the critical Taylor number becomes lower as the pseudoplastic effect increases. The comparison with the existing measurements on the pseudoplastic CCF results in good agreement.

关 键 词：PSEUDOPLASTIC circular Couette flow （CCF） toroidal vortex spectralmethod 

分 类 号：O357[理学—流体力学]