Inhaltszusammenfassung

The stationary, isothermal rotational spinning process of fibers is considered. The investigations are concerned with the case of large Reynolds (delta = 3/Re << 1) and small Rossby numbers (epsilon << 1). Modelling the fibers as a Newtonian fluid and applying slender body approximations, the process is described by a two-point boundary value problem of ODEs. The involved quantities are the coordinates of the fiber's centerline, the fluid velocity and viscous stress. The inviscid case delta =...The stationary, isothermal rotational spinning process of fibers is considered. The investigations are concerned with the case of large Reynolds (delta = 3/Re << 1) and small Rossby numbers (epsilon << 1). Modelling the fibers as a Newtonian fluid and applying slender body approximations, the process is described by a two-point boundary value problem of ODEs. The involved quantities are the coordinates of the fiber's centerline, the fluid velocity and viscous stress. The inviscid case delta = 0 is discussed as a reference case. For the viscous case delta > 0 numerical simulations are carried out. Transfering some properties of the inviscid limit to the viscous case, analytical bounds for the initial viscous stress of the fiber are obtained. A good agreement with the numerical results is found. These bounds give strong evidence, that for delta > 3 epsilon(2) no physical relevant stationary solution can exist. » weiterlesen» einklappen

Autoren