Similarity Criterion of Freezing Model Test considering Nonlinear Variation of Thermal Parameters with Temperature
Joint Authors
Pan, Lin
Cheng, Xuelei
Xia, Jinhong
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-07
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The significant differences in specific heat and thermal conductivity of ice and water lead to the changes of specific heat and thermal conductivity of soil during the freezing process.
This makes it hard for the temperature field similarity criterion based on constant thermal parameters to accurately reflect the temperature field evolution of soil mass caused by nonlinearity of thermal parameters in the process.
Based on heat conduction differential equation considering nonlinear changes of thermal parameters, this paper uses similarity transformation method to derive the similarity criterion of the temperature field in the frozen soil model test and arrives at the conclusion that the prototype soil and model soil should meet when the original soil is used for the model test.
At the same time, given the impact of the third boundary condition on the similarity criterion, the thermal physical similarity conditions for the model soil are derived.
On this basis, ABAQUS finite element software is used to numerically simulate the linear and nonlinear prototype and model temperature fields.
The third boundary condition considered the temperature evolution of the characteristic points during the freezing process is analyzed.
The calculation results indicate that the nonlinear thermal conductivity similarity criterion established herein can correctly reflect the evolution process of the prototype frozen soil temperature field.
It is also suggested that the model soil thermal parameters are reasonably calculated.
At the same time, it shows that the nonlinear freezing similarity criterion of the soil, when the third boundary condition is satisfied, has clear physical meaning and higher practical value.
The research results provide a practical and reasonable parameter calculation method for the model soil preparation in the frozen soil model test and a theoretical basis and technical support for the design and implementation of the water-heat-force coupling model test on frozen soil.
American Psychological Association (APA)
Pan, Lin& Cheng, Xuelei& Xia, Jinhong. 2020. Similarity Criterion of Freezing Model Test considering Nonlinear Variation of Thermal Parameters with Temperature. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1198017
Modern Language Association (MLA)
Pan, Lin…[et al.]. Similarity Criterion of Freezing Model Test considering Nonlinear Variation of Thermal Parameters with Temperature. Mathematical Problems in Engineering No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1198017
American Medical Association (AMA)
Pan, Lin& Cheng, Xuelei& Xia, Jinhong. Similarity Criterion of Freezing Model Test considering Nonlinear Variation of Thermal Parameters with Temperature. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1198017
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1198017