Investigation of thermal inter-facial problems involving non-locality in space and time

Tao Xue, Xiaobing Zhang, Kumar K Tamma

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The vastly disparate length and time scales existing in new devices and materials born out of micro-/nano- devices have made thermal modeling and simulation more important and more difficult. The heat transfer process in one certain micro-device is essentially a thermal contact problem that involves various scales of space and time in each of the sub-components. In this communication, we utilize a newly developed computational framework to investigate problems of thermal contact involving size-effects that span the ballistic, ballistic-diffusive, and diffusive heat transfer processes. The preliminary work regarding this generalized computational framework has been published in Xue, Zhang, and Tamma (2018) and has been proved to readily resolve the problem of thermal contact between Fourier-type and nonFourier-type sub-domains. The fashion of solving the thermal inter-facial problems from the perspective of differential-algebraic equations is extended to a broad range of thermal contact problems in the present work, including both the temporal and spatial non-locality. The numerical results demonstrate the prediction of thermal response of the bodies in contact at different scales. The proposed computational framework paves the way for investigating the thermal inter-facial problems in micro-/nano- devices.

Original languageEnglish (US)
Pages (from-to)37-42
Number of pages6
JournalInternational Communications in Heat and Mass Transfer
Volume99
DOIs
StatePublished - Dec 1 2018

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electric contacts
ballistics
heat transfer
Ballistics
differential equations
communication
Heat transfer
Hot Temperature
predictions
Differential equations
simulation
Communication

Keywords

  • Differential algebraic formulation
  • Generalized thermal contact problem
  • Size-effect

Cite this

Investigation of thermal inter-facial problems involving non-locality in space and time. / Xue, Tao; Zhang, Xiaobing; Tamma, Kumar K.

In: International Communications in Heat and Mass Transfer, Vol. 99, 01.12.2018, p. 37-42.

Research output: Contribution to journalArticle

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