Advertisement

Solution Methods

  • Yang Liu
  • Francis A. Kulacki
Chapter
  • 138 Downloads
Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)

Abstract

The melting stages of Chap.  3 describe the behavior of the meltwater during different time periods of the defrost process: absorption and permeation, accumulation, and draining. Meltwater accumulation reduces the strength of ice adhesion and promotes the possibility of slumping. The rate of meltwater draining depends on the boundary conditions at the interfaces of the liquid layer. A large draining rate reduces defrost time and improves defrost efficiency. Solution methods of the governing transport equations of these stages of defrost are described in this chapter.

Keywords

Defrost Process Meltwater Drainage Governing Transport Equations Force Ratio Permeation Layer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 101.
    Crank J (1984) Free and moving boundary problems. Oxford University Press, New YorkzbMATHGoogle Scholar
  2. 102.
    Alexiades V, Solomon AD (1993) Mathematical modeling of melting and freezing. Hemisphere, WashingtonGoogle Scholar
  3. 103.
    Morton KW, Mayers DF (2005) Numerical solutions of partial differential equations. In: Cambridge University Press. Cambridge, EnglandGoogle Scholar
  4. 104.
    Hamming RW (1973) Numerical methods for scientists and engineers. Dover Publications, Inc., New YorkzbMATHGoogle Scholar
  5. 105.
    Kahraman R, Zughbi HD, Al-Nassar N (1998) A numerical simulation of melting of ice heated from above. Math Comput Appl 3(3):127–137zbMATHGoogle Scholar
  6. 106.
    Lee TE, Baines MJ, Langdon S (2015) A finite difference moving mesh method based on conservation for moving boundary problems. J Comput Appl Math 288:1–17MathSciNetCrossRefGoogle Scholar
  7. 107.
    Liu Y (2017) Effect of surface wettability on the defrost process. Doctoral dissertation, University of Minnesota, MinneapolisGoogle Scholar
  8. 67.
    Raraty LE, Tabor D (1958) The adhesion and strength properties of ice. Proc R Soc Lond A 245:84–201CrossRefGoogle Scholar

Copyright information

© The Author(s), under exclusive license to Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Yang Liu
    • 1
  • Francis A. Kulacki
    • 2
  1. 1.Graduate School at ShenzhenTsinghua UniversityShenzchenChina
  2. 2.Department of Mechanical EngineeringUniversity of MinnesotaMinneapolisUSA

Personalised recommendations