VISCOSITY-DRIVEN DISTRIBUTION OF THE KINETIC-TO-THERMAL ENERGY DISSIPATION THROUGH A SPHERICAL SHELL THICKNESS

A. A. Sadovoy, N. M.Chulkov
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1982. Вып.3. С. 32-37.

      Closed quadratic expressions for kinetic energy, velocity, and R-t diagram defining an inertial finite-thickness shell collapse are obtained. These formulae describing the full dissipated energy distribution across a shell thickness for a time where the shell converges on a given radius indicate a thermal energy cumulation in layers, close to the internal shell surface. A possibility of viscosity coefficient experimental measurements is discussed. Numerical results are represented by a set of universal curves which allow qualitatively study the nature of the shell motion depending on its physical and geometrical parameters.