DEVELOPMENT OF A MATHEMATICAL MODEL OF THE MOVEMENT OF UNCOMPRESSED PLUNGER WITH CONSIDERATION OF THE NON-ISOTHERMAL FLUID FLOW IN THE RING GAP

Abstract

The process of deformation of solids (and metals in particular) by a high-pressure liquid got
its development during the designing of various technological processes: hydroextrusion,
hydromechanical pressing, hydrostatic forging, etc.The article provides a brief analysis of the research
area of solids processing - hydrostatic extrusion. The positive facts in the development of this
progressive technology are shown, as well as problems, the solution of which will allow the most correct
description of this working process and build mathematical models. The paper presents the relations of
the developed mathematical model for determining the change of the plunger speed depending on the
change of the working fluid pressure at its non-isothermal flow in a thin ring gap. Based on the
developed mathematical model, theoretical curves of changes in pressure of liquid depending on the
speed of movement of the uncompressed plunger are plotted. To verify the correspondence of the
developed mathematical model to the experiment, experimental data were put on the theoretical graphs.
The comparative analysis of theoretical and experimental data showed that when throttling a liquid in
thin gaps at large pressure drops, it is necessary to consider its non-isothermal character of flow.
Keywords: hydroextrusion, metals, nonisothermal flow, liquids.