Overshooting phenomenon in the hyperbolic microscopic heat conduction model

被引：25

作者：

Al-Nimr, MA ^{[1
]}

Alkam, MK ^{[1
]}

机构：

[1] Jordan Univ Sci & Technol, Dept Mech Engn, Irbid 22110, Jordan

来源：

INTERNATIONAL JOURNAL OF THERMOPHYSICS | 2003年 / 24卷 / 02期

关键词：

hyperbolic microscopic model; microscopic heat conduction; overshooting; two-step hyperbolic model; two-step heat conduction model;

D O I：

10.1023/A:1022988425515

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The overshooting phenomenon under the effect of the microscopic hyperbolic heat conduction model is investigated. A map tracing the region within which the overshooting phenomenon occurs is presented. The two most important parameters which control the overshooting phenomenon are found to be the first and second time-derivatives of the temperature at t = 0. However, in order for the overshooting to appear, a higher initial value of the second time-derivative of the temperature change is required than the initial value of the first time-derivative of the temperature. Overshooting is more likely to appear in the parabolic, rather than in the hyperbolic, microscopic heat conduction model.

引用

页码：577 / 583

页数：7