INFLUENCE OF THE VISCOUS DISSIPATION OF A LIQUID FILLING A TUBE ON THE DEFORMATION AND ORIENTATION OF LIQUID ELEMENTS

The infl uence of the dissipation heating of a liquid fi lling a tube on the deformation, orientation, and distribution of liquid elements was investigated. Mathematical simulation of this process was performed on the basis of the equation of motion of the liquid and its continuity and energy equations with the initial and boundary conditions determined with account of the dependence of the viscosity of the liquid fl ow on its temperature, the presence of a free boundary in it, and the dissipation of its mechanical energy. The problem on the indicated liquid fl ow was solved numerically by the fi nite-difference method. The kinematics of this fl ow and its infl uence on the deformation and orientation of liquid elements was analyzed. The role of the viscous dissipation of the liquid in the formation of the thermomechanical history of the behavior of its elements in the process of fi lling of a tube with it is demonstrated.
The infl uence of the dissipation heating of a liquid fi lling a tube on the deformation, orientation, and distribution of liquid elements was investigated. Mathematical simulation of this process was performed on the basis of the equation of motion of the liquid and its continuity and energy equations with the initial and boundary conditions determined with account of the dependence of the viscosity of the liquid fl ow on its temperature, the presence of a free boundary in it, and the dissipation of its mechanical energy. The problem on the indicated liquid fl ow was solved numerically by the fi nite-difference method. The kinematics of this fl ow and its infl uence on the deformation and orientation of liquid elements was analyzed. The role of the viscous dissipation of the liquid in the formation of the thermomechanical history of the behavior of its elements in the process of fi lling of a tube with it is demonstrated.
Author:  E. I. Borzenko, O. Yu. Frolov, and G. R. Shrager
Keywords:  circular tube, fountain fl ow, dissipation heating, deformation, molding of polymers, morphology
Page:  911