Scholarlink

Abstract <p>This paper is considered the problem of a stationary shock wave propagation in incompressible viscous liquid with hollow glass microspheres modeled by a coating of constant thickness (incompressible viscoplastic medium) on the surface of the flowing cavities. Basic mathematical model of temperature field formation in the analyzed shock-wave two-phase medium with the temperature dependence of the mechanical properties of its phases has been developed. A hierarchy of simplified analogs of a basic mathematical model is proposed and theoretically substantiated the use of each of which allows for a significant reduction in computational costs when conducting a numerical experiment.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Mathematical Modeling of the Temperature Field of a Shock-Compressed Incompressible Fluid Containing Glass Microspheres

  • 期刊论文

  • 发表日期：

    2026年5月23日

查看全文
  • A. Attetkov,
  • A. Kotovich,
  • E. Pilyavskaya

摘要

Abstract

This paper is considered the problem of a stationary shock wave propagation in incompressible viscous liquid with hollow glass microspheres modeled by a coating of constant thickness (incompressible viscoplastic medium) on the surface of the flowing cavities. Basic mathematical model of temperature field formation in the analyzed shock-wave two-phase medium with the temperature dependence of the mechanical properties of its phases has been developed. A hierarchy of simplified analogs of a basic mathematical model is proposed and theoretically substantiated the use of each of which allows for a significant reduction in computational costs when conducting a numerical experiment.