On the Motion of Shear-Thinning Heat-Conducting Incompressible Fluid-Rigid System  

作　　者：Ya-zhou CHEN Qiao-lin HE Xiao-ding SHI Teng WANG Xiao-ping WANG 

机构地区：[1]Faculty of Science, Beijing University of Chemical Technology, Beijing 100029, China [2]School of Mathematics, Sichuan University, Sichuan 610065, China [3]College of Applied Sciences, Beijing University of Technology, Beijing100124, China [4]Department of Mathematics, Hong Kong University of Science and Technology, H.K., China

出　　处：《Acta Mathematicae Applicatae Sinica》2018年第3期534-552,共19页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.11671027,11601031,,11471321)

摘　　要：The full Navier-Stokes-Fourier system with mixed boundary condition that describes the motion of shear-thinning and incompressible viscous fluid in a rotating multi-screw extruder is investigated. The viscosity is assumed to depend on the shear rate and the temperature. The global existence of suitable weak solutions is established. The fictitious domain method which consists in filling the moving rigid screws with the surrounding fluid and taking into account the boundary conditions on these bodies by introducing a well-chosen distribution of boundary forces is used.The full Navier-Stokes-Fourier system with mixed boundary condition that describes the motion of shear-thinning and incompressible viscous fluid in a rotating multi-screw extruder is investigated. The viscosity is assumed to depend on the shear rate and the temperature. The global existence of suitable weak solutions is established. The fictitious domain method which consists in filling the moving rigid screws with the surrounding fluid and taking into account the boundary conditions on these bodies by introducing a well-chosen distribution of boundary forces is used.

关 键 词：SHEAR-THINNING heat-conducting INCOMPRESSIBLE fluid suitable weak solution 

分 类 号：O373[理学—流体力学]