Collapse of an annular layer of nonNewtonian fluid under axial impact
Abstract
A system of hydrodynamic equations is derived, describing the motion of an incompressible nonNewtonian fluid filling a narrow gap between the flat parallel surfaces of an 'anvil' and a striker for the case when the striker hits axially. In the center of the layer on the axis of the striker there is a cylindrical cavity of height equal to the thickness of the fluid film and filled with an ideal gas. The analysis takes into account heating of the fluid, and results in a system of equations whose solution is reduced to a classical initialvalue problem for an autonomous system of seven equations of the first order. Radius of the cavity as a function of impact time is evaluated for a conventional fluid and an ideal viscoelastic anvilstriker system.
 Publication:

Inzhenerno Fizicheskii Zhurnal
 Pub Date:
 May 1976
 Bibcode:
 1976InFiZ..30..786D
 Keywords:

 Annular Flow;
 Axial Loads;
 Hydrodynamic Equations;
 Impact Loads;
 Incompressible Fluids;
 Nonnewtonian Fluids;
 Adiabatic Conditions;
 Boundary Value Problems;
 Collapse;
 Equations Of Motion;
 Gas Pressure;
 Ideal Gas;
 Lubrication;
 Pressure Distribution;
 Time Dependence;
 Viscoelasticity;
 Fluid Mechanics and Heat Transfer