We study stationary axisymmetric configurations of a star model consisting of two barotropic fluids, which are uniformly rotating at two different rotation rates. Analytic approximate solutions in the limit of slow rotation are obtained with the classical method of Chandrasekhar, which consists of an expansion of the solution in terms of the rotation rate, and which is generalized to the case o...

We consider a dynamic model of biofilm disinfection in two dimensions. The biofilm is treated as a viscous fluid immersed in a fluid of less viscosity. The bulk fluid moves due to an imposed external parabolic flow. The motion of the fluid is coupled to the biofilm inducing motion of the biofilm. Both the biofilm and the bulk fluid are dominated by viscous forces, hence the Reynolds number is n...

A physically-based method to derive well-posed instances of the two-fluid transport equations for two-phase flow, from Hamilton principle, is presented. The state flow represented by superficial velocity and drift-flux, instead average velocities each fluid. This generates conservation two principal motion modes naturally: global center-of-mass relative between fluids. Well-posed can be obtaine...

D. J. Thouless, M. R. Geller, W. F. Vinen, J.-Y. Fortin, and S. W. Rhee Department of Physics, University of Washington, Box 351560, Seattle, Washington 98195 Department of Physics and Astronomy, University of Georgia, Athens, Georgia 30602 School of Physics and Astronomy, University of Birmingham, Birmingham B15 2TT, England CNRS Laboratoire de Physique Théorique, Université Louis Pasteur, 670...

In this paper consider a two-fluid model consisting of a core region of suspension of all the erythrocytes (particles) in plasma (fluid) assumed to be a particle-fluid mixture and a peripheral layer of cell-free plasma (Newtonian fluid), has been proposed to represent blood flow in small diameter tubes with effects of magnetic. The analytical results obtained in the proposed model for effective...